Proving Vertical Angles Are Congruent

Proving Vertical Angles Are Congruent
Proving Vertical Angles Are Congruent

Answers

Answer 1

Answer:

Vertical angles are always congruent

Step-by-step explanation:

Answer 2

Answer:

Statement

Measure of angle 2 and 3 are a linear pair and

Reason

Definition of linear pair

Step-by-step explanation:

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Related Questions

A bag contains 20 identical sweets apart from the colour: 10 are pink, 7 are green and 3 are yellow. Jovian randomly selects wtwo sweets from the bag, one after the other, ans eats them. Find the probability that:
i) she eats two pink sweets,
ii)the first sweet is green and the second sweet is yellow,
iii) she eats exactly one pink sweet,
iv)neither sweet is green​

Answers

Answer: Relative frequency and probability are similar terms and the answer to both of them are the same. What I mean is that, even if the question asks for probability or relative frequency, the answer will remain the same. The basic difference is that relative frequency is used when probability is being estimated using the outcomes of an experiment or trial, when theoretical probability cannot be used.
We can write the probability in the help of a normal formula,

P(A) = n(B)/n(S)

P(A) is the probability of an event “A” n(B) is the number of favorable outcomes. n(S) is the total number of events in the sample space.

One more thing you might need to know is that, in probability, and means multiplication and or means addition.
And = multiplication
Or = addtion

So from the above equation, n(S) , the total number " 10 + 7 + 3" is 20.

i) 2/20 and in simplified terms, 1/10
ii) 7/20 * 3/20 = 21/400
iii) 1/20
iv) 13/20

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Question 5 of 10
Choose the symbol that correctly compares the fracti-
-IN
113
1/2 1/2
A. >
B. =
C.

Answers

i don’t understand?????

four students drew four different triangles in math class Anna triangle Yuna triangle Carly triangle saki triangle​

Answers

The question was incomplete. Below you will find the missing image.

Only the Saki's triangle can be solved using law of cosines.

Law of cosines
formula is used to find missing including angle or missing side.
It is used in SAS and SSS triangles.
If a, b & c are three sides and C be the vertices opposite to side c then,
c²=a²+b²-2ab×CosC
Here in the given image we see that,
In Anna's triangle, there is one side and one angle.
So, it is not possible to solve with law of cosines.
In Yuna's triangle, there are two angles and one side.
So, also it is not possible to solve with law of cosines.
In Carley's triangle, there are three angles.
Also in this case, law of cosines it not possible to use.
In Saki's triangle, there are three sides are given. So, it is a SSS triangle.
We can apply the law of cosines here in this triangle.

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Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches. A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches. The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed. The volume of the pyramid on the right is greater by 2 inches cubed. The volume of the pyramid on the right is greater by 6 inches cubed

Answers

The volume of the pyramid on the left is greater by 8 inches cubed

We have given that,

A rectangular pyramid on the left with a base of 7 inches by 6 inches and a height of 3 inches.

A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.

The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed.

The equation for finding the volume of a pyramid is,

What is the volume of a pyramid?

lwh/3

when you input the values of the two pyramids into this equation you get the left pyramid having a volume of 128 inches cubed and the right pyramid having a volume of 120 inches cubed.

Therefore, 128 - 120 = 8

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1/3 · (-3x + 4y - 5z)
(1/3 Is A Fraction)
(Write Explanation)

Answers

The value of expression is -(x- 4y/3 + 5z/3)

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given:

1/3 · (-3x + 4y - 5z)

= 1/3(-3x) + 1/3 *4y + 1/3* (-5z)

= -x +4/3*y -5/3 *z

=-(x- 4y/3 + 5z/3)

Hence, 1/3 · (-3x + 4y - 5z)= -(x- 4y/3 + 5z/3)

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Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.

A 45-45-90 right triangle with one of the legs labeled y, the other leg labeled 4 times the square root of 2, and the hypotenuse labeled x.

,
,
,
,

Answers

Answer:

missing side lengths are

leg 1 is 4√2

leg 2 is 4√2

hypotenuse is 8

Step-by-step explanation:

leg 1 is y

leg 2 is 4√2

45-45-90 right triangle means

legs are equal

the longest side is the hypotenuse which is

x

pythagorean theorem =

a² + b² = c²

a and b are the legs

c is hypotenuse

(4√2)² + (4√2)² = c²

4√2 = √16*2 = √32

(√32)² + (√32)² = c²

32 + 32 = c²

64 = c²

take the square root of both sides

√64 = √c²

8 = c

c = 8

A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend?

Ju Chan answered the question by writing the following:

4(−15) meters = −60 meters.

Which word in the problem indicates that a negative number should be used?

Answers

The word in the problem that indicates that a negative sign should be used is "descend"

How many meters did he descend?

We know that he stops for water breaks four times, and between each water break, he descends 15 meters.

The written equation is:

4*(-15)m = -60m

Why the negative sign is used?

The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"

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Use the figure to decide the type of angle pair that describes <5 and <6.
3
5
1
4
2
6

Answers

Answer:

A. Corresponding Angles

Step-by-step explanation:

1. ∠4 and ∠6 = 180°

2. ∠3 and ∠5 = 180°

3. So, ∠5 and ∠6 are the same angles.

Andy spent $55 in all to purchase 20 two-dollar and five-dollar toys. How many two-
dollar toys did he buy? How many five-dollar toys did he buy?

Answers

I’m not sure but if I’m right Jen it will be 1 two dollar toy and 5 five dollar toy

if f (x) = 3x + 5/x , what is f(a+2)?

Answers

Answer:

f(a+2)=3a+11/a+2

Step-by-step explanation:

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car. Their responses are shown in the table below.

Car Color
Favorite Color
Number of Students
Blue
5
Red
18
Gray
27
Silver
14
White
16

Using proportional reasoning, how many students out of the 1,000 would you expect to prefer a silver car?

Answers

There are 175 students out of the 1,000 would you expect to prefer a silver car.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car.

Now, We have there are 14 students out of 80 prefer silver car for their first car.

Hence, By using proportion, we get;

⇒ 14/80 = x / 1000

⇒ 14 × 1000 / 80 = x

⇒ x = 175

Thus, There are 175 students out of the 1,000 would you expect to prefer a silver car.

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Answer:

                     175

( ̄︶ ̄)↗ 

Step-by-step explanation:

15. What is 5¹/4 ÷ 2²/7 ?

A. 2 ¹⁹/64
B. 12
C. 2
D. 12 ¹⁹/64


Please help it's urgent... I'll mark brainlist if you answer and get it right ​

Answers

Answer:

A 2 19/64

Step-by-step explanation:

change the proper fractions into mixed fractions then remember to reciprocate the number at your right hand then calculate good day.

A social club has 500 members.
If 62% of members are male, what percentage are female?

Answers

Answer:

[tex]\huge\boxed{\sf 38\%}[/tex]

Step-by-step explanation:

Total members = 500

Total percentage = 100%

Percentage of male members = 62%

Percentage of female members:

= 100% - male members

= 100% - 62%

= 38%

[tex]\rule[225]{225}{2}[/tex]

Answer:

310 members or 38% are female

Step-by-step explanation:

100% - 62%male = 38% female

or (62 × 500) ÷ 100 = 310 females

9.25(18.4-2.1.2)




Please hurry I need to Finnish 2 more pages today

Answers

Step-by-step explanation:

9.25( 18.4 - 2.12)

9 × 25 ( 18×4 - 2× 1.2) (multiply)

9.25 ( 72 - 2.4) ( calculate)

9×25×69.5 (calculate)

(answer) 1566

Without using mathematical tables or calculator, find, in surd form(radicals) the value of tan22.5​

Answers

Answer:

Step-by-step explanation:

tan 45=1

[tex]tan 2\alpha =\frac{2tan\alpha}{1-tan^2\alpha } \\put~\alpha =22.5\\2\alpha =2 \times 22.5=45\\tan~2\alpha =tan~45=1\\1=\frac{2tan \alpha }{1-tan^2\alpha} \\1-tan^2\alpha =2 tan\alpha \\ tan^2\alpha +2tan \alpha -1=0\\tan\alpha =\frac{-2 \pm\sqrt{4+4} }{2} \\=-1\pm\sqrt{2} \\\alpha =22.5\\so ~tan~\alpha ~is~positive.\\so ~tan~\alpha =\sqrt{2} -1[/tex]

You spin the spinner twice.
What is the probability of landing on a 7 and then landing on a number less than 9?

Write your answer as a fraction or whole number.

Answers

Answer:

1/3

Step-by-step explanation:

the answer is 1/3 because the probability of landing on a 7 is 1/3 and the probability of landing on any number less than 9 is 2/3. Then, you multiply the probabilities: 1/3 * 2/3 = 2/9 = 1/3

What’s the value of x?

Answers

Answer:

the value of x is 115

Step-by-step explanation:

hope I helped

please mark me as brainlyst

It’s 115 cuz when two parallel lines are cut by a transversal line, the corresponding angles are always equal or congruent ;)

Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° < theta < 90°?

Answers

If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value of sine of θ is 21/29.

Then the value of θ will be

sin θ = 21/29

     θ = sin⁻¹(21 / 29)

     θ = 46.4°

Then the value of the cosine of θ will be

cos θ = cos 46.4°

cos θ = 20/29

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What can each term of the equation be multiplied by to eliminate the fractions before solving?
1/2x-5/4+2x=5/6+x

Answers

Answer:

12

Step-by-step explanation:

Given the following formula, solve for a.

Answers

Answer:

A

Step-by-step explanation:multiply both sides by two, then subtract b and c from both sides to get a on the right side by itself

Answer:

О A      a = 2s - b - c

Step-by-step explanation:

S = (a+b+c)/2

2s = a + b +c

2s - b - c = a

True OR False
------------------------
y + 15 = 30, y = 20? ​

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:False [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: y + 15 = 30[/tex]

[ subtract 15 on both sides ]

[tex]\qquad \tt \rightarrow \: y + 15 - 15 = 30 - 15[/tex]

[tex]\qquad \tt \rightarrow \: y = 15[/tex]

Here, actual value of y is not the same as it is in statement, so the statement is wrong.

A right rectangular pyramid is sliced parallel to the base, as shown. (100 POINTS)

What is the area of the resulting two-dimensional cross-section?


2 m²

3 m²

9 m²

12 m²

Answers

Answer: A) 2 m^2

Step-by-Step Explanation:

We know, the 2-dimensional cross-section is a Rectangle.

Length (l) = 2 m
Breadth (b) = 1 m

Area of the Cross Section = l * b

Therefore,
= lb
= l * b
= 2 * 1
=> 2

Area of the Cross Section = 2 m^2

That shaded region area we need

length=2mBreadth=1m

Area

Length×Breadth2(1)2m²

Question 4) Identify the surface area of the composite figure.​

Answers

The surface area of the composite figure is 714 sq. in.

What is formula of surface area of cube ?

Let, a be the edge of the cube.

Then, surface area of the cube = 6a² square unit

What is formula of surface area of cuboid ?

Let, length of the cuboid = l unit

Width of the cuboid = w unit

Height of the cuboid = h unit

Then, surface area of the cuboid = 2(lw+lh+hw) square unit

What is the required surface area ?

Given, edge of cube = 4 in.

Surface area of cube = (6×4²) sq. in. = 96 sq. in.

Now, given, length of cuboid = 15 in.

Width of the cuboid = 10 in. & height of the cuboid = 7 in.

Surface area of the cuboid = 2{(15×10)+(15×7)+(10×7)} sq. in.

                                                = 2{150+105+70} sq. in.

                                                = 2{325} sq. in. = 650 sq. in.

Here, we have to find the surface area of the composite figure.

We have to subtract the surface area from both of cube & cuboid, where they are attached.In that case, we have to subtract (4×4) from both.

So, we have to subtract 2(4×4) sq. in. = 32 sq. in.

∴ The surface area of the composite figure = (650+96-32) sq. in.

                                                                        = 714 sq. in.

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Think About a Plan Write an indirect proof.
Proof
Given: 41 42
Prove:
p
• What assumption should be the first step of your proof?
. In the figure, what type of angle pair do 21 and 22 form?

Answers

1) Either [tex]\ell \parallel p[/tex] or [tex]\ell[/tex] ∦ [tex]p[/tex] (only two possibilities)

2) Assume [tex]\ell \parallel p[/tex] (one of two possibilities)

3) [tex]\angle 1 \cong \angle 2[/tex] (if two parallel lines are cut by a transversal, the corresponding angles are congruent)

4) But [tex]\angle 1[/tex] is not congruent to [tex]\angle 2[/tex] (given)

5) So [tex]\ell[/tex] ∦ [tex]p[/tex] (only other possibility)

Help please this is khan academy

Answers

Answer:

9800 cm^2

Step-by-step explanation:

The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2

Which value of m will create a system of parallel lines with no solution?
y=mx-6
8x-4y=12

Answers

Answer: y = 2x - 6

Step-by-step explanation:

   Let us turn the second given equation into slope-intercept form to match the first equation.

8x - 4y = 12

8x - 12 = 4y

4y = 8x - 12

y = 2x - 3

   Now, parallel lines have the same slope. This is the m value.

y = 2x - 3

   \/

y = mx - 6

y = 2x - 6

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8. A group of teenagers were surveyed to find out whether they like to drink coffee or tea. The result is shown below. •21 teenagers like to drink coffee or tea •3 teenagers like to drink coffee and tea. •2 teenagers do not like to drink coffee or tea. Based on the information, calculate (a) the total number of teenagers in the group. (b) the number of teenagers who like to drink coffee only or tea only. ​

Answers

a) 26 teenagers are in the group.   21+3+2=26

b) 21 like to drink coffee or tea only.    (3 like both and 2 like neither, so 21 enjoy one or the other)

Segment AB is congruent to segment AB.t h s statement shows the ______ property.

Answers

Distributive property

A water sample shows 0.033 grams of some trace element for every cubic centimeter of water. Marques uses a container in the shape of a right cylinder with a diameter of 13.2 cm and a height of 19.7 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Marques collected? Round your answer to the nearest tenth.

Answers

Answer:

89.0 grams of trace element

Step-by-step explanation:

Step 1

Find the volume of the sample container.

Given:

Container is a right cylinder with d = 13.2 cm and h = 19.7 cm

Volume formula:

V = πr²h = πd²h/4

Substitute to get:

V = π(13.2)²(19.7)/4 = 2695.9 cm³ (rounded)

Step 2

Find the volume of the trace element, using the given proportion:

2695.9*0.033 = 89.0 grams (rounded)


Scalar and Matrix Multiplication

Answers

Answer:

multiply 1/2 by each element in the matrix

Step-by-step explanation:

6. 32

39 15

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