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steposvetlana [31]
3 years ago
9

In the triangle above, the measure of X is 25°, and the measure of Y is 113°. What is the measure of Z?

Mathematics
2 answers:
Rashid [163]3 years ago
5 0

Answer:

D

Step-by-step explanation:

yanalaym [24]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for z , that is

∠ Z = 180° - (25 + 113)° = 180° - 138° = 42° → A

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Help! Please! Geometry!!
DiKsa [7]

9.

By the Segment Addition Postulate, SAP, we have

XY + YZ = XZ

so

YZ = XZ - XY = 5 cm - 2 cm = 3 cm

10.

M is the midpoint of XZ=5 cm so

XM = 5 cm / 2 =  2.5 cm

11.

XY + YM = XM

YM = XM - XY = 2.5 cm - 2 cm = 0.5 cm

12.

The midpoint is just the average of the coordinate A(-3,2), B(5,-4)

M = (A+B)/2 = \left( \dfrac{-3 + 5}{2}, \dfrac{2 + -4}{2} \right)

Answer: M is (1,-1)

You'll have to plot it yourself.

13.

For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.

AB^2 =(5 - -3)^2 + (-4 - 2)^2 = 8^2 + 6^2 = 100

Answer: AB=10

M is the midpoint of AB so

Answer: AM=MB=5

14.

B is the midpoint of AC.   We have A(-3,2), B(5,-4)

B = (A+C)/2

2B = A + C

C = 2B - A

C = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)

Check the midpoint of AC:

(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, good

Answer: C is (13, -10)

Again I'll leave the plotting to you.

5 0
3 years ago
19. If the polynomial P(x) = 27x^3 + 9x^2 – 3x – 10 is divided by 3x – 2, the remainder will be
aksik [14]

Answer:

D) 0

Step-by-step explanation:

Remainder is zero as 10 is fully divisible by 2.

<u>Proof</u>:

  • 27x^3 + 9x^2 – 3x – 10 = (3x -2) (9x^ 2 +9x+5)

<u>Correct choice is</u> D) 0

4 0
3 years ago
Tyrone ordered the same meal 3 days in a row. He paid a total of $12.06 for these 3 meals. How much did Tyrone pay for each meal
Romashka-Z-Leto [24]

Answer:

$4.02

Step-by-step explanation:

since he bought the same meal for 3 days, that means he payed the same amount every day for 3 days. the total is $12.06, so if u divide the total by 3, you will get how much he payed for one meal.

8 0
3 years ago
Since m∠E=90∘, △DEF is a right triangle and the Pythagorean theorem applies. Write an equation representing the relationship bet
Troyanec [42]

Step-by-step explanation:

Since ∠E is right angle, its opposite side is DF and the legs are DE and EF.

<u>Pythagorean applied:</u>

  • DF^2 = DE^2+EF^2
7 0
3 years ago
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You have a total of 42 math and science problems for homework you have 10 more math problems and science problems how many probl
Kipish [7]
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3 0
3 years ago
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