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bonufazy [111]
2 years ago
12

Given: BCDF is a parallelogram; AB = BF Prove: angleA=angleE

Mathematics
1 answer:
Katen [24]2 years ago
7 0

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>

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Please help!
loris [4]

m∠B = 33° is the answer.

<u>Step-by-step explanation:</u>

If two triangles ΔABC and ΔMOP are similar,  then their corresponding angles are congruent.

In any triangle, sum of the measure of the angles add up to 180°.

∠A+ ∠B+ ∠C = 180°

∠A  ≅ ∠M

∠B ≅ ∠O

∠C ≅ ∠P

So we can add as,

∠A + ∠B+ ∠P = 180°

45° + ∠B + 102° = 180°

∠B + 147° = 180°

∠B = 180° - 147° = 33°

8 0
3 years ago
Lines N&amp;M are parallel what is the measure of angle 1
Liula [17]
130 (I have to write 20 character or more so I'm writing this)
6 0
3 years ago
Find the gradient of the line segment between the points (2,-3) and (-3,-8)
Anvisha [2.4K]

Answer:

1

Step-by-step explanation:

gradient=

\frac{ - 8 - ( - 3)}{ - 3 - 2}  =  \frac{ - 8 + 3}{ - 5} =  \frac{ - 5}{ - 5}  = 1

8 0
2 years ago
A card is drawn at random out of a​ well-shuffled deck of 52 cards. Find the probability of drawing a six comma seven comma or e
Rina8888 [55]

Answer: \frac{3}{13}, or ~23.07%

Step-by-step explanation:

There are 52 cards in your average deck.

For this question, you need the numbers of the cards in the deck. There are four of each number from 2 through 10, and four aces, jacks, queens, and kings.

Considering there are four 6s, four 7s, and four 8s, there are 12 cards that fit the description.

Divide 12 by the total number of cards in the deck, 52, to get your answer.

8 0
3 years ago
Please Help 7th grade math
Allisa [31]

The signs of the numbers in the problem matter because if a number is negative in the equation than you're answer could be negative.  ex. -3/9= -3   but if the negative sign wasn't there than the answer would be wrong bc the answer would be positive.



hope thats what you need hope it helps.

6 0
3 years ago
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