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Scilla [17]
4 years ago
11

What is the measure of the missing angle? PICTURE BELOW \/

Mathematics
1 answer:
jeka57 [31]4 years ago
6 0

Answer:

The measure of the missing angle is 90°

Step-by-step explanation:

∵ This figure is a quadrilateral

∴ the sum of measures of its angles = 360°

∴ m∠x = 360 - 107 - 72 - 91 = 90°

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Given: BCDF is a parallelogram; AB = BF<br> Prove: angleA=angleE
Katen [24]

Answer:

Step-by-step explanation:

ABCD is a parallelogram.  AB is produced to P, such that AB = BP and PQ is drawn parallel to BC to meet AC produced at Q. Given AB = 8 cm, AD = 5 cm, AC = 10 cm.

→ BC ║ QP →→Given

In Δ ABC and ΔAPQ

∠ABC=∠APQ→→[BC ║ QP , BP is a transversal, so corresponding angles are equal]

∠BAC=∠PAQ→→Reflex angle

Δ ABC ~ ΔAPQ→→(AA similarity criterion]

When triangles are similar, their corresponding angles are equal.

AC=CQ=10 cm, shows that point C is mid point of AQ.

<u>help me by marking as brainliest....</u>

7 0
3 years ago
Can someone help please
Over [174]

Answer:

She is wrong. Only expression A and, expression C are equal.

Plz thank and rate brainliest.


8 0
4 years ago
-3x^2 + 2y^2 + 5xy - 2y + 5x^2 - 3y^2<br><br> x = 2 , y = -1
rewona [7]
X=2 Y=-1 plug them into the equation
-3(2)^2 + 2(-1)^2 + 5(2)(-1) -2(-1) + 5(2)^2 -3(-1)^2

36+4-10+2+100+9

40-10+2+100+9

30+2+100+9

132+9

141
5 0
3 years ago
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
3 years ago
Read 2 more answers
a test is worth 80 points multiple choice questions are worth 2 points and short answer questions are worth 4 points if the test
vazorg [7]
80 divided by 2.5 is 32, if this is the entire question.
4 0
3 years ago
Read 2 more answers
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