If two right triangles each have a 30° angle, then the
triangles must be
a equilateral
b.similar
C. obtuse
D. congruency

Answers

Answer 1

Answer:

b. Similar

Step-by-step explanation:

Although angles are congruent the triangles are not as sides need to be the same too.  Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.

Because the angles are congruent and sizes are not shown they must be similar.

They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.

They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.

They are not fully congruent as we do not know there side measures so they have to be similar.

Answer 2

Answer:

B

Step-by-step explanation:

Two triangles are similar when they share at least two angles and the only difference is size.


Related Questions

Please answer !!???????????!!! PLEASE 15 points!!!!!!!!!!!

Answers

Answer:

Question 9: slope= 4

Question 10: 10x+5y = -25

Step-by-step explanation:

For question 9, since it is a linear function, you can think of it as y=mx+b. "m" is the slope value. In your instance, m=4 so the slope is 4. For question 10, you need to reorder it into y=mx+b by moving the -25 to the left side and moving the 5y to the right side. After you do this, you should get 10x+25=-5y. Then divide both sides by -5 to get -2x-5=y. Since m is a negative value, the function has a negative slope. Since the "b" value is the y-intercept and this case it's -5, the y-intercept of the equation is -5.

The ratio of the number of Mays necklaces to the number of Helen's necklace is 25:9. May has 100 necklaces. How many necklaces does Helen have.

Answers

Answer:

36

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36

Which ordered pairs make both inequalities true? Check all that apply. (−5, 5) (0, 3) (0, −2) (1, 1) (3, −4)

Answers

Answer:

(0,-2) and (1,1)

Hope this helps :)

Answer: (0,-2) & (1,1)

Step-by-step explanation:

correct answers ✅

Viet solved a quadratic equation. His work is shown below. In which step did Viet make an error? Step 1,2,or 3?

Answers

Answer:

Step 1

Step-by-step explanation:

he added 4 to the other side instead of taking away 4

Answer:

step 1

Step-by-step explanation:

Choose the best definition for the following term: substitution
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts

Answers

Answer:

A process where if two things are equal, one can be put in the place of the other and nothing will change

Step-by-step explanation:

Its like replacing :)

Answer:

A letter that holds the place for some unknown value in mathematics

Step-by-step explanation:

Well in all honesty subbing has many definitions depending on what it's used for so in what way are you implying that subbing is used for?

Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-3x+9
y=-3x + 5
y=-3x – 11y
y=-3x + 25​

Answers

Answer:

y=-3x+5

Step-by-step explanation:

y²-y¹=gradient

x²-x¹

6-7=gradient

-3+6

-1/3=gradient

y-6/x+3=-1/3

y-6=-1/3(x+3)

y-6=-1/3x-1

y=-1/3x+5

The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?

Answers

119.80$

Step-by-step explanation:

if you add 15% to 104.17 is equal to 119.80

The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?

Answer:

Actually, the answer is $694.47

Step-by-step explanation:

You use the equation % over 100 = is over of

so you put

15                  $104.17%

-             =         -

100                   x

cross multiply the $104.17 by 100 and divide by 15

HELLPPPP PLEASE ASAP WILL MARK BRAINLIEST!! PLEASW AND THANK YOUUU!!!

Answers

1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2

The answer is here

2 root 2 minus root 2 is equal to​

Answers

Answer:6

Step-by-step explanation:

Answer:

Here is the answer mate.....

Step-by-step explanation:

2 root 2 minus root 2 is equal to 0.

If you have question why then follow these steps....

2-2

√0

anything root o means 0..

so, the answer is zero...

Hope it helps ☺️

​3x-2≤5(x+2) . show all steps please.

Answers

Answer:

-6 ≤x

Step-by-step explanation:

3x-2≤5(x+2)

Distribute

3x-2≤5x+10

Subtract 3x

3x-2-3x≤5x +10-3x  

-2 ≤2x+10

Subtract 10 from each side

-2-10 ≤2x+10-10

-12 ≤2x

Divide by 2

-12/2≤2x/2

-6 ≤x

Answer:

Step-by-step explanation:

You have to first use the distributive property of 5(x+2)

That would be 5x+10.

So it would be all together

[tex]3x-2\leq 5x+2[/tex]

to see if it is true

x=2

6-2

[tex]6-2\leq 10+2\\4\leq 12[/tex]

it is true

(8x - 6) - (7x - 9)

I hope you're open to me asking more questions in the reply <3

Answers

Answer:

x + 3

Step-by-step explanation:

Given

(8x - 6) - (7x - 9)

Distribute the first parenthesis by 1 and the second by - 1

= 8x - 6 - 7x + 9 ← collect like terms

= x + 3

4x (2x® - 7x2 + x)
O 8x4 - 28x3+4x2
o 16x - 7x2 +4x
o 8x4 - 7x2 + x
o 16x4 - 3x3+4x2

Answers

Answer:

8x^4 - 28x^3 + 4x^2.

Step-by-step explanation:

4x(2x^3 - 7x^2  + x)

= 4 * 2x^3 + 4x*-7x^2 + 4x*x

= 8x^4 - 28x^3 + 4x^2.

Answer:

8[tex]x^{4}[/tex]-28x³+4x²

Step-by-step explanation:

4x(2x³-7x²+x)=

8[tex]x^{4}[/tex]-28x³+4x²

2x³ × 4x = 8[tex]x^{4}[/tex]

7x² × 4x = 28x³

x × 4x = 4x²

If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.

Answers

Answer:  y = 12/(x^2)

============================================================

Explanation:

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value, so the answer is confirmed.

The equation that connects x and y, is,   y = 12/(x^2).

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value,

Hence, The equation that connects x and y, is,   y = 12/(x^2).

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SOMEBODY HELP ME OUT !!

Answers

Answer:

D

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

X(- 1, - 3 ) → X'(- 3, 1 )

Y(0, 0 ) → Y'(0, 0 )

Z(1, - 3 ) → Z'(- 3, - 1 )

The two lines graphed below are parallel. How many solutions are there to the
system of equations?
A. TWO
B. Zero
C. Infinitely many
D. One

Answers

Answer:

Zero

Step-by-step explanation:

Option C is correct, there are Infinitely many solutions are there to the system of equations.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The two lines are parallel, they have the same slope, which means that m is the same for both equations.

Therefore, the system of equations can be simplified to:

y = mx + b₁

y = mx + b₂

Subtracting the two equations, we get:

0 = b₁ - b₂

This means that the y-intercepts of the two lines are equal.

The two lines coincide with each other, and there are infinitely many solutions to the system of equations.

Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.

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Can someone help me with these two questions?

Answers

Answer:

17) A(-1,1) B(-1,4) C(5,1)

18) (From origin moving rightwards)

     A(0,0) B(a, 0) C(a,a) D(0,a)

Step-by-step explanation:

17) You just count the steps, how many steps left, right, up, or down

18) The first point is at the origin, so 0,0

    The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.

     The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.

      The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.


[tex] ({3x}^{2} + 2x + 1) + ( {2x}^{2} - 4x - 5) + (3x - 1)[/tex]

Answers

Answer:

[tex]5x^2+x-5[/tex]

Step-by-step explanation:

[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]

Hope this helps!

if i were to save 10 dollars each 2 weeks how much will i have in 2 months

Answers

Answer:

I think the answer is 40.5

Step-by-step explanation: Because there are 4 and a half weeks in a month..... at the least. I may be wrong, just took a lucky guess. dont take my word for it.

answer: 87
because there’s 4.35 weeks in a month so 2 months would be 8.7 weeks so 8.7 weeks times 10 is 87

Can someone help please, thank you.

Answers

Answer: y - 2 = 3/2(x + 1)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1). Where m is the slope. so you can just fill in:

y - (2) = 3/2(x - (-1))

y - 2 = 3/2(x + 1)

help plz you got to help me​

Answers

Answer:

$6.88

Step-by-step explanation:

$5.99(12 months) = $71.88 per year

$71.88 - $65 = $6.88

The answer is 6.88 hope it helps!!!

***PLEASE HELP***


If the expression f2+g4−2f+1 is rewritten in the form a2+(g2)2, what must be the value of a?

Answers

Answer:

(f-1)

Step-by-step explanation:

If you substitute a for (f-1) you get the expression...

The value of a if the expression f² + g⁴ − 2f + 1 is rewritten in the form a² + (g²)2 is f

How to rewrite the algebraic expression

f² + g⁴ − 2f + 1

f(f - 2) + g⁴ + 1

From the expression

a = f

Therefore, the value of a is f

Learn more about algebraic expression:

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The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15

Answers

Answer:

7/15

Step-by-step explanation:

probability of one being a a 3-pointer is

1 2 3 4 5 6 7

7/15

Probability that at least one of the next 5 baskets made by the team is a 3- pointer is 7 / 15.

What is probability?

" Probability is a branch of mathematics which represents ratio of number of favourable outcomes to the total number of outcome of  any event."

Formula used

Probability =  [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Random number represents 15 trials

Therefore,

Total number of outcomes = 15

At least one of the 5 team baskets made by the team is a 3- pointer

Sample space of favourable outcomes

                         =  { 81357, 21761, 51537, 62135, 16687, 41662, 27135}

Number of favourable outcome = 7

Required probability = 7 / 15

Hence, Option (D) is the correct answer.

Learn more about probability here

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How would you solve this I’m confused

Answers

Answer:

[tex]x=8.5^o[/tex]

Step-by-step explanation:

Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.

So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:

[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]

Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:

[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]

Given:
AC – AR
<1 = <2
Prove:
<3 =<4

Answers

Answer:

ΔCTA ≅ ΔDRA

Step-by-step explanation:

Triangles CTA and DRA are congruent by ASA postulate. This is because:

∠1 ≅ ∠2 (given)AC ≅ AR (given)∠A is the same for both triangles (they are opposite angles)

Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4

Walter pays $2.53 to ship a package that weighs 5.5 ounces. Which is the cost to ship 1 ounce?

Answers

__________________________________

Solution,

Cost of 5.5 ounces =$ 2.53

Cost of 1 ounce= 2.53/5.5

=$0.46

So the answer is $ 0.46

Hope it helps

Good luck on your assignment

_________________________________

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."
O "Look at the graph of the relationship Count the number of units up and the number of units to the right one must move to
arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."

Answers

Answer:

"Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."

Step-by-step explanation:

When finding the unit rate you are l looking for how many happened in one. This can be found for y at x=1.

Hope this helps!

Which is an equation of the line with slope –3 and passes through (2, –1)?

Question 8 options:

a)

3x + y = 5


b)

–3x + y = 5


c)

y = –3(x + 5)


d)

y = 5x – 3

Answers

Equation c
y = -3(x+5)

Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds. Use the diagram to write an equation to represent the dogs’ weights. Let f represent the weight of Luisa’s dog. A long rectangle is the top section. 2 smaller rectangles are the bottom section. The top section represents . The bottom section represents . The equation is . ASAP PLEASE MARKING BRAINLIEST

Answers

Answer:

[tex]\frac{1}{3}[/tex]f + 5 = 23

Step-by-step explanation:

Let's put this statement into words: Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds.

This is an equation representing the weight of Fabiola's dog:

[tex]\frac{1}{3}[/tex]f + 5 = 23

I honestly have no idea what the diagram is supposed to mean, it'd be great if you could provide a picture :), then I'll edit my answer.

Answer:

The top section represents...........23 pounds

The bottom section represents..........5 + 1/3f

The equation is.........23 = 1/3f + 5

Step-by-step explanation:

PLZ HELP NO WORK NEEDED JUST GIVE ME A PROPER ANSWER!

Answers

Answer:

incorrect: y= -1.5x

correct: The slope is 3.

HOPE I HELPED!!!

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-7)/(-6-(-2))

m=2/-4

m=-1/2

A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

Answers

Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.

Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.

Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.

Calculate 42.25 – (3 x 4.25).

The initial value is 29.50.

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