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tekilochka [14]
3 years ago
7

△ABC is similar to △XYZ . Also, angle A measures 45° and angle C measures 60°. What is the measure of angle Y? Show all your cal

culations!

Mathematics
2 answers:
Mila [183]3 years ago
3 0
<span>75° Since △ABC is similar to △XYZ, that means that angle A equals angle X, angle B equals angle Y, and angle C equals angle Z. So let's look at the data we have. Angle A measures 45° and angle C measures 60°. That means that angle B measures 180° - 45° - 60° = 75° since all triangles have 180° and we've been told the measurement of two of the angles. And since angle Y is equal to angle B (which we just calculated), that means that angle Y is also equal to 75°</span>
kifflom [539]3 years ago
3 0

Answer:

Just took the test and got it right :)))

Step-by-step explanation:

Look at the image down below!!

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Your class hopes to collect at least 325 cans of food for the annual food drive. There were 132 cans donated the first week and
beks73 [17]
132 + 146 + c should be greater than or equal to 325, and c should be greater than or equal to 47.
4 0
3 years ago
The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is
Nimfa-mama [501]

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

972 = 1/3 * x^2 * 1/2x

Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

5832 = x^3

Take the cube root of both sides:

x = 18

The length of the base is 18 inches.

The height is 1/2 that, so the height would be 18/2 = 9 inches.

4 0
4 years ago
Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?
Dominik [7]

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=40\ \$/h\\b=\$25

substitute

y=40x+25

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

5 0
3 years ago
Which graph shows y=x^2+3x-4
Ivahew [28]

Answer:

Third graph in the photo

Step-by-step explanation:

x^2+3x-4 can be factored as (x+4)(x-1). When y=0, x must be -4 or 1 to satisfy the equations, and thus the roots of the graph are at x=-4 and x=1. When x=0, y=(4)(-1)=-4. The only graph that satisfies both of these requirements is the third/last one.

3 0
3 years ago
Can somebody help me please
serious [3.7K]

Answer:

-7 and 21

Step-by-step explanation:

y-2y=7 (sub x=7 to the equation)

-y=7

y=-7 (not sure of its correct)

if y=-7,

x-2(-7)=7 (sub y=-7 into equation)

x-14=7

X=7+14

X=21

8 0
3 years ago
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