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snow_tiger [21]
3 years ago
13

Triangle XYZ is isosceles. Angle Y measures a°. What expression represents the measure of angle X?

Mathematics
1 answer:
lara [203]3 years ago
4 0
The isosceles triangle has two sides congruent which mean they are equal. If two sides are equal, it also means that two angles are equal. 

For triangle XYZ, we have angles shown below:
∠X + ∠Y + ∠Z = 180°

If ∠Y = a°, then we can have the expression for ∠X such as shown below:
∠X + a° + ∠Z =180°
∠X= 180° - a° - ∠Z

If ∠Z = ∠Y, then we have the final expression:
∠X = 180° -2a°
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Maslowich

Answer:

6:2:1

Step-by-step explanation:

360÷60=6

120÷60=2

60÷60=1

4 0
3 years ago
D. Evaluate each of the following. (5 points)
Harrizon [31]

Problem 1

f(x) = x + 1/x

f(1) = 1 + 1/1

f(1) = 1 + 1

f(1) = 2

Answer: 2

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

Problem 2

(f o f)(1) = f( f(1) )

(f o f)(1) = f( 2 )

(f o f)(1) = 2 + 1/2

(f o f)(1) = 4/2 + 1/2

(f o f)(1) = 5/2

Answer:  5/2

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

Problem 3

(f o f o f)(1) = f(  f(f(1)) )

(f o f o f)(1) = f(  (f o f)(1) )

(f o f o f)(1) = f(  5/2 )

(f o f o f)(1) = 5/2 + 1/(5/2)

(f o f o f)(1) = 5/2 + 2/5

(f o f o f)(1) = 25/10 + 4/10

(f o f o f)(1) = 29/10

Answer: 29/10

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

Problem 4

(f o f o f o f)(1) = f(   f(f(f(1))   )

(f o f o f o f)(1) = f(   (f o f o f)(1)    )

(f o f o f o f)(1) = f(   29/10   )

(f o f o f o f)(1) = 29/10 + 1/(29/10)

(f o f o f o f)(1) = 29/10 + 10/29

(f o f o f o f)(1) = 841/290 + 100/290

(f o f o f o f)(1) = 941/290

Answer: 941/290

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

Problem 5

(f o f o f o f o f)(1) = f(   f(f(f(f(1))))   )

(f o f o f o f o f)(1) = f(   (f o f o f o f)(1)  )

(f o f o f o f o f)(1) = f(   941/290  )

(f o f o f o f o f)(1) = 941/290 + 1/(941/290)

(f o f o f o f o f)(1) = 941/290 + 290/941

(f o f o f o f o f)(1) = 885481/272890 + 84100/272890

(f o f o f o f o f)(1) = 969581/272890

Answer: 969581/272890

4 0
3 years ago
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kondor19780726 [428]
The equation of a line is defined by: y=mx+b

Step 1: Find the slope (rise over run) so, the rise is 15.7 and the run is 6. 15.7/6=2.62

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Step 2: Find the b value (y intercept) - this is where the line goes through the y axis. In this case, it's 15.7

Step 3: add the slope and the b value together - y=2.62x+15.7
4 0
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Answer:

<h2>c. 16.5</h2>

Step-by-step explanation:

It's the right triangle.

The formula of an area of a right triangle:

A=\dfrac{(leg)(leg)}{2}

Look at the picture.

We have

leg=3,\ leg=11

Substitute:

A=\dfrac{(3)(11)}{2}=\dfrac{33}{2}=16.5

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Answer:

6 in.

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Hello there!

Work the triangle formula backward:

15 x 2=30

30/5=6 in

:)

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3 years ago
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