Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.


The measure of angle ABC is

°.

The measure of angle BAC is

°.

The measure of angle ACB is

°.

Answers

Answer 1

The measure of angle ∠ACB is 70°. Then the correct option is C.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

∠ABC + ∠BCA + ∠CAB = 180°

        60° + ∠BCA + 50° = 180°

                           ∠BCA = 180° – 110°

                           ∠BCA = 70°

Then the correct option is C.

The complete question is given below.

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of ABC is 60

The measure of BAC is 50

The measure of ACB will be

a. 50

b. 60

c. 70

d. 120

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Use The Diagram Showing M || N, As Well As The Relationships Between Interior And Exterior Angles Of
Answer 2

Answer:

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of angle ABC is

✔ 60

°.

The measure of angle BAC is

✔ 50

°.

The measure of angle ACB is

✔ 70

°.

Step-by-step explanation:


Related Questions

Loss = 10% VAT=13% SP WITH VAT=25,425 now calculate CP

Answers

The cost price of the product will be 25000.

How to calculate the price?

From the information given, the cost price is 25000. The loss is 10%. This will be:

= 25000 - (10% × 25000)

= 25000 - 2500

= 22500

The tax is 13%. This will be:

= 22500 + (13% × 22500)

= 22500 + 2925

= 25425

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this is hard for me could smone help me ASAP please?

Answers

Answer:

x is 90°

y is 56°

Step-by-step explanation:

Concepts used :

The angle subtended by a diameter inside the circle is always 90° .

Sum of interior angles of a triangle is 180°.

Here x is the angle subtended by the diameter of the circle therefore ,

x is 90°.

let the end points of diameter  as A , B

and the point where the it subtends the 90° angle be C

using interior angle property on the triangle  ΔABC

90° + 62° + ∠A = 180°

152° + ∠A = 180°

∠A = 180° - 152°

∠A  =  28°

now let he midpoint of diameter as D

as the sides DC and DA are radius of circle  and therefore equal

so using isosceles triangle property which states that angle opposite to equal sides are equal

so the angle ∠ACD = 28°

now using exterior angle property on ΔADC

y = 56°

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Question 4 (Essay Worth 10 points)
(05.06; 05.07 MC)

A prism and two nets are shown below:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Part A: Which is the correct net for the prism? Explain your answer. (2 points)

Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)

Part C: What is the surface area of the prism? Show your work. (4 points)

Answers

Answer:

115.2 in^2

Step-by-step explanation:

total surface area Stot = 113.2 in2

lateral surface area Slat = 103.2 in2

top surface area Stop = 6 in2

bottom surface area Sbot = 6 in2

prove that (1- cos(pi)/(8))(1-cos(3 pi)/(8))(1-cos(5 pi)/(8))(1=cos(7 pi)/(8))=(1)/(8)

Answers

Step-by-step explanation:

1&$)&(5$6$5*-_+_7&'+&-^€=%

Solve the equation for x by graphing.
-2x − 3 = 3x + 2

Answers

See attached photo. Have a nice day.

i need help filling in the blanks
Complete the steps to solve the equation above.




2x + 5 = 4x - 1


+ +


After adding on both sides, the equation looks like this:


2x + = 4x




Now it's time to the combine like terms and .


2x + = 4x




- -


After subtracting on both sides, the equation looks like this:


=




Finally, we divide by on both sides, and we have solved the equation!


x is equal to .

Answers

The 3 steps to solve the algebra equation have each sub step as explained and written below.

How to solve algebra problems?

We are given the algebraic equation;

2x + 5 = 4x - 1

Step 1; After adding 1 to both sides, we have;

2x + 5 + 1 = 4x - 1 + 1

2x + 6 = 4x

Step 2; We subtract 3x from both sides to get;

2x - 2x + 6 = 4x - 2x

2x = 6

Step 3; Divide both sides by 3 to get;

2x/2 = 6/2

x = 3

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Fluffy the bunny ate 1/2 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1/3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?

Answers

Answer:

1/6

Step-by-step explanation:

the total carrot is 1/1 and fluffy ate 1/2 of it . this means half has been eaten and it is left with half so now 1/2 -1/3 ( carrot left in the morning - the carrot left now ) this will be 1/6

Shape R is reflected in
a) What are the coordinates of C'?
Then R' is translated by (-3)
-6
R
=
-5 -4 -3 -2 -1
b) What are the coordinates of C"?
Y
5+
4-
3-
2+
1
- 1 to give R'.
-1-
-2-
--3-
-4-
--5+
1
to give R".
2
3 4
sit
5
X

Answers

The new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)

The correct question is

Shape R is reflected in x axis and is translated by (-3, 0) , What will be the coordinates of the new figure

The figure is attached with the answer.

What happens when a figure is reflected on an axis ?

When  a figure is reflected along any axis , the coordinate of the axis on which it is reflected remains the same while the other coordinate vis the additive inverse of the given coordinate

It is given that the coordinate point of R

(-2 ,-2) , (-2,-5) (-4,-3) (-4,-5)

When it is reflected along x axis the new coordinates are

(-2 , 2), (-2,5) (-4,3) (-4,5)

and when translated by -3,0

(-5,2), (-5,5) (-7,3) (-7,5)

Therefore the new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)

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The diagram shows a cone with slant height 10.5cm. If the curved surface area of the cone is 115.5cm². calculate correct to 3 Significant figures, the base radius, r ,height h Volume of the cone [take π 22/7]

Answers

The volume of the cone is V = 381.15 cu.cm

What is the Curved Surface Area of the cone ?

The curved surface area of the cone is given by

A = πrl

The slant height given in the question is

l = 10.5 cm

A = 115.5 sq.cm

radius = ?

Height = ?

Volume = ?

Using the Curved Surface Area Formula

115.5 = π * r * 10.5

taking π = 22/7

r = 3.5 cm

The slant height is given by

[tex]\rm l = \sqrt{ r^2 + h^2}[/tex]

Therefore the height is

[tex]\rm h = \sqrt{ 10.5^2 -3.5^2}[/tex]

h = 9.9 cm

The volume of the cone is

V = π r²h

V = (22/7) * 3.5 * 3.5 * 9.9

V = 381.15 cu.cm

The volume of the cone is V = 381.15 cu.cm

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solve X/3 + 5/2 = -3/2 pls pls ​

Answers

Answer:

X=-12

Step-by-step explanation:

Subtract -5/2 on both sides:

X/3+5/2-5/2=-3/2-5/2

X/3=-8/2

X/3=-4

Multiply both sides by 3:

X/3*3=-4*3

X=-12

Answer:

x = -12

Step-by-step explanation:

To solve for x, we always want to isolate x {isolate = getting it by itself}

So, for the equation: X/3 + 5/2 = -3/2

we should first get x on its own side:

[tex]\frac{x}{3}+\frac{5}{2}=-\frac{3}{2}[/tex]

   [tex]-\frac{5}{2}[/tex]     [tex]-\frac{5}{2}[/tex]      {subtract 5/2 from both sides} {-3/2 - 5/2 = -8/2}

[tex]\frac{x}{3} = -4[/tex]

×3     ×3            {multiply both sides by 3 to find "1"x}

x = -12

check:

-12/3 + 5/2 = -3/2

-4 + 5/2  = -3/2

(5/2 = 2 [tex]\frac{1}{2}[/tex]  ;   2 [tex]\frac{1}{2}[/tex] - 4 = -1 [tex]\frac{1}{2}[/tex])

-1 [tex]\frac{1}{2}[/tex] = -3/2      {3/2 = 1 [tex]\frac{1}{2}[/tex]}

-1 [tex]\frac{1}{2}[/tex] = -1 [tex]\frac{1}{2}[/tex]

{TRUE}

so, x = -12

hope this helps!!

A sample of substance x that has a mass of 326.0 g releases 4325.8 cal when it freezes at its freezing point. if substance x has a molar mass of 58.45 g/mol, what is the molar heat of fusion for substance x? use q equals n delta h.. 13.31 cal/mol 74.00 cal/mol 775.6 cal/mol 19054.7 cal/mol

Answers

The molar heat of fusion for substance X , given the data is 775.6 cal/mol

How to determine the mole of the substance XMass = 326 gMolar mass = 58.45 g/molMole = ?

Mole = mass / molar mass

Mole = (326 / 58.45) moles

How to determine the heat of fussionMole (n) = (326 / 58.45) molesHeat (Q) = 4325.8 calHeat of fusion (ΔHf) = ?

Q = n × ΔHf

4325.8 = (326 / 58.45) × ΔHf

4325.8 = (326 × ΔHf ) / 58.45

Cross multiply

326 × ΔHf = 4325.8 × 58.45

Divide both sides by 326

ΔHf = (4325.8 × 58.45) / 326

ΔHf = 775.6 cal/mol

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HELP PLEASE!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D.) x - 4

Step-by-step explanation:

This is a graph of an exponential/quadratic function. There general structure looks like this:

ax² + bx + c

Generally, when finding the zeros these functions, you are told to factor the equation. Once you have factored the equation, you can set the factors equal to zero to find the points where the function touches the x-intercept.

That being said, you can determine the factors without having the entire equation by identifying the zeros on the function. On this graph, there is a zero at (4,0). This means that one of the factors must have been "x - 4". You can check your work by setting the factor equal to zero.

x - 4 = 0

x = 4

in a dilation, what is preserved and what is altered?

Answers

Answer:

A dilation preserves angle measures.

A dilation alters the length of line segments by the same proportion.

Step-by-step explanation:

A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.

What is necessary to determine the z-score for a raw score in a particular set of scores?.

Answers

Answer:

See below

Step-by-step explanation:

The mean score and the standard deviation are needed

this is not the answer i was looking for

Answers

oh okay sorry about it

Two piecewise functions are shown below. What is the value of
6f (-2) + 3g (1)?
f(x) =
0-7
O-25
1/3
O 18
{
-3x
*+2'
if x < -2
³, if x ≥-2
(2|x-1| +3,
-5√x+3-1,
g(x) =
={
if x ≤ 1
if x > 2

Answers

Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

g(1)

again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

for x = 1 we get

2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help

Answers

From unit conversion, it is found the following results:

6km 3.73 mi

2.5 L 0.66 gal

90 lb 40.82 kg

Unit Conversion

Units of measurement are part of our daily lives. There are different units for area, length, volume, mass, and others.  Because of this, it is important to know converting them.

For solving this question you need some information as:

1 km = 0.621371 mi ( unit for length and distance)

1 L = 0.2641722 gallons (unit for volume)

1 lb = 0.453592 kg (unit for mass)

Therefore,

If 1 km = 0.621371 mi, you will have:

           1 km --------  0.621371 mi

           6 km --------  x mi

           x= 6* 0.621371

           x=3.73 mi

Thus, 6km ≈ 3.73 mi.

If 1 L = 0.2641722 gallons, you will have:            1 L--------  0.2647122 gal           2.5L --------  x gal            x= 2.5* 0.2647122            x=0.66 galThus, 2.5 L≈ 0.66 gal.If 1 lb = 0.453592 kg, you will have:            1 lb--------  0.453592 kg           90 lb --------  x kg            x= 90* 0.453592            x=40.82 kgThus, 90 lb≈ 40.82 kg.

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Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament. Please step by step

Answers

Answer:

20 Players

Step-by-step explanation:

Total Amount of Money: $2412.50

First the team rented us a bus for $1072.50

Subtract the bus from the total

$2412.50 - $1072.50 = $1340

Total Amount of Money after bus: $1340

From there we need to find the max number of players that can go.

The budget cost for each player is $67.

So we divide the remaining money by $67 to find the number of players that can go.

$1340/$67 = 20 Players.

Please mark brainliest and click thanks.

Hope this helps!

Solve |2x - 6| < 10

{x|-2 < x < 8}
{x|2 < x < 8}
{x|-8 < x < 8}

Answers

0 lakalallalallllala

Given log subscript 4 baseline 3 almost-equals 0.792 and log subscript 4 baseline 21 almost-equals 2.196, what is log subscript 4 baseline 7?

Answers

The value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.

We are given the logarithmic functions:

log₄3 = 0.792 ,,, (i), and log₄21 = 2.196 ... (ii),

and we are asked to find the value of the logarithmic function log₄7.

On subtracting (i) from (ii), we get:

log₄21 - log₄3 = 2.196 - 0.792.

Using the quotient law of logarithms, according to which:

logₓa - logₓb = logₓ(a/b), we can write the above equation as:

log₄(21/3) = 1.404,

or, log₄7 = 1.404.

Therefore, the value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.

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Answer:

A.

1.404

Step-by-step explanation:

Tara has a box of 908 beads for making bracelets. She wants to put 15 beads on each bracelet she makes. What is the greatest number of bracelets Tara can make with these beads? Tara has a box of 908 beads for making bracelets . She wants to put 15 beads on each bracelet she makes . What is the greatest number of bracelets Tara can make with these beads ?​

Answers

Answer:

Tara can make 60 bracelets.

Step-by-step explanation:

908 / 15 = 60.5

Find the missing side of each triangle. Leave your answers in simplest radical form.
2√3 m
A) √ 19 m
c) √5 m
O a
a
Ob b
Oc
√7m
C
Od d
B) √17 m
D) √√2 m

Answers

Answer:

C [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Use pythagorean theorem.

[tex]x^{2}[/tex] +[tex]\sqrt{7} ^{2}[/tex] = (2[tex]\sqrt{3}) ^{2}[/tex]    

[tex]x^{2}[/tex] + 7 = 12   Subtract 7 from both sides

[tex]x^{2}[/tex] = 5           Take the square root of both sides to solve

x = [tex]\sqrt{5}[/tex]

Triangle rst is dilated by a scale factor of 5 to form triangle r's't'. side r's' measures 40. what is the measure of side rs?

Answers

Answer: 8

Step-by-step explanation:

We know that scale factor = (image)/(preimage).

Substituting in what we have,

[tex]5=\frac{R'S'}{RS}\\\\5=\frac{40}{RS}\\\\RS=\boxed{8}[/tex]

Answer:

Step-by-step explanation:

We know that r's't' was formed by a scale factor of 5.

This means rst was multiplied by 5 to create r's't'.

Dividing the sides of r's't' by 5 will give us the sides of the

pre-image.  If r's' = 40 - dividing 40 by 5 = 8.

So rs is 8.

The coordinates of the vertices of △HIJ are H(−2,2), I(8,−2), and J(−4,−3). Identify the perimeter of △HIJ to the nearest tenth

Answers

Answer:

  28.2

Step-by-step explanation:

The perimeter of a plane figure is the sum of the lengths of its sides. Those lengths and their sum can be found a number of different ways.

__

graphing aid

The values computed by the graphing program in the attachment add up to 28.2 units.

__

using algebra

The length of each side of the triangle can be computed using the distance formula or the Pythagorean theorem. For a given "rise" and "run", the length of a line segment is ...

  d = √(rise^2 +run^2)

  HI = √((-4)^2 +10^2) = √116 ≈ 10.770

  IJ = √(1^2 +12^2) = √145 ≈ 12.042

  JH = √(5^2 +2^2) = √29 ≈ 5.385

The perimeter is the total of the lengths of the sides:

  P = HI +IJ +JH = 10.770 +12.042 +5.385 = 28.197

To the nearest tenth, the perimeter is 28.2 units.

Choose the variable expression that matches this phrase.
the sum of the number of crew members on the tour boat and the 5
passengers.
A. 5-c
B. 5c
C. 5+ c
D. 5÷c

Answers

The sum of the number of crew members (c) on the tour boat and the 5 passengers is 5 + c. Then the correct option is C.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The sum of the number of crew members (c) on the tour boat and the 5 passengers.

This can be written as in the form of the mathematical form.

⇒ 5 + c

Then the correct option is C.

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Pls help!!!!!!!!!!!!!!!!

Answers

Answer:

D: 6.5, 3

C: 23.5, 9

I think

Answer:

C (23.5, 9)

D (6.5, 3)

Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively

Answers

The volume of the rectangular prism is 36/125 cm³.

What is the volume?

A rectangular prism is a three-dimensional shape. It also known as a cuboid.

Volume = length x width x height

3/5 x 4/5 x 3/5 = 36/125 cm³

Here is the complete question :

Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively. Find its volume?

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Think about the zoo meals in another way. Many different foods are prepped in the commissary for the
animals. Though each animal has a very specific combination of foods, there may be foods repeated in diets
for different animals. For example, cabbage may be used in the morning meals for 20 different animals. If
the food is the input, and the animal is the output, is this relationship a function?

Answers

Answer:

89

Step-by-step explanation:

Math word problems please help

Answers

Answer: leave the math class

Use the drawing tools to form the correct answer on the graph. Graph the line that represents this equation: y=-5x+2

Answers

An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given equation y=-5x+2 can be drawn as shown below.

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What is the central idea of the first quatrain?My mistress is unattractive.O My mistress is beautiful. My mistress has a natural a beauty. My mistress is not as beautiful as nature.und: Are the Tea Party and Occupy Wall Street factions of the Democratic or Republican parties? The American victory in the Revolutionary War led to which outcome in theearly 1800s?A. Women in both Europe and the United States gained equal rights.B. All settlers were banned from moving into American Indian lands.C. Plantation owners agreed to end the Atlantic slave trade.D. Mexican colonists launched a successful revolution against Spain. i didn't like the film; it ____me? A boring B excited C bored D exciting I need help ASAP pleaseWhich statement is true about whether Z and B are independent events? A: Z and B are independent events because P(Z | B) =P(Z).B: Z and B are independent events because P(Z | B) = P(B).C: Z and B are not independent events because P(Z | B) P(Z).D: Z and B are not independent events because P(Z | B) P(B). Increasing the amount of weight for your exercises increases the demands made upon your body. Group of answer choices True False You have learned that the 1920s were a decade of social and economic change in the United States, and all these changes earned the decade thenickname the "Roaring Twenties." Many Americanshad more money to spend and more leisure time than at any period in the past and delighted in theopportunities to spend their newfound wealth. In Florida, this meant increased tourism and even a surge in population as more people moved to thestate. All of these forces resulted in what is known as the land boom of the 1920s.In this task, you will be asked to answer a few short answer questions about the Florida land boom. You will need to do some research online or in otherreference sources to find this information.Part AWrite a few sentences about your perceptions of the Florida land boom. What does the word "boom" typically mean from an economicstandpoint? What were the characteristics of the Florida land boom? Part BNext, define the word speculation as it relates to the economy, and then describe how speculation related to Floridas land boom.Part C Finally explain at least two causes of the end of the land boomPart DList the titles or links you used while researching the topic in this task The number 1.41421356 is a rational or irrational number Los cuadros de velzquez son importantes tanto por su contenido como por su valor artstico. the radis of the cylinder is (2/7) units and height of the cylinder is (8/11 units find the volume of the cylinder use =22/7 The vertical line test can be used to determine the given relation/graph is a What are fields in a table? What are rows in a table? This is talking about Microsoft Word. What are fields and rows and what are they used for? NEED ASAP Directory services store information in a heirarchical structure. Which statements about Organizational Units (OUs) of a directory service hierarchy are true? Check all that apply. what is is i^30? A. -iB. -1c. 1D.i Identify if the following substances (a-h) are elements or compounds. (-4,3)-5-4-3245432-14-2-3-A(0,1)1 2(4,-1)Which linear function is represented by the graph?Of(x) = -2x + 1Of(x)=x+1O f(x) = x+1Of(x)=2x+1 this is really confusing please help Instructions: Simplify the algebraic expression.12(32x10y) 1) (b + a) = 4; use a = 1 and b = 3 2) c(b + b); use b = 1 and c = 5 3) 4+ pm; use m = 4 and p =3 4) 5+ pm; use m = 4 and p = 2 5) m(p + 2); use m = 5 and p = 2 6) h+j; use h = 1 and j = 4 7) y-(x - 5); use x = 5 and y = 6 8) 4xy; use x = 5 and y = 2 9) n(p + 3); use n = 2 and p = 2 10) y +x+x; use x = 3 and y = 5 11) 6+ a-b; use a = 4 and b = 4 A criminal case can be overturned by an appellate court only if:OA. the trial court made some kind of legal mistake.OB. the police have discovered new evidence.C. the defense has found new witnesses to testify.D. the prosecution believes the jury ruled incorrectly.