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3 years ago

100 POINS, Help

Mathematics

1 answer:

svlad2 [7]3 years ago

3 0

Answer: Translate triangle ABC so that point B lies on point D to confirm ∠B ≅ ∠D.

Step-by-step explanation: Since we already know that angle A is congruent to itself by the reflexive property, all we need is another pair of corresponding angles to be congruent according to the AA (angle-angle) similarity postulate. This postulate states that; If two corresponding angles of two or more triangles are congruent, the triangles are similar. So when we translate triangle ABC so that point ∠B lies on ∠D, we prove that these two angles are congruent.

I also got it right on the test. So... yeah.

hope this helps dood.

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In a school election, Juan received 4 times as many votes as Wayne, Neal recurved twenty less votes than Juan, and Kerry got hal

77julia77 [94]

Votes received by Wayne is 112

Solution:

To find: votes received by Wayne

Let the vote received by Wayne be "x"

Juan received 4 times as many votes as Wayne

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x ---- eqn 1

Neal received twenty less votes than Juan

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

Kerry got half as many votes as Neal

Kerry votes = half of neal votes

Kerry votes = $\frac{4x - 20}{2}$ ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

$x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112$

Therefore votes received by Wayne is 112

4 0

3 years ago

Question 1 What is the solution of n² - 49 = 0? 0 +7 07 -7 O no solution

Sphinxa [80]

Hey there!

This can be written as $n^{2}-(7)^{2}$

This is in form of $\fbox{a^{2}-b^{2}}$ , it can be expanded as $\fbox{(a-b)(a+b)}$

=> (n-7)(n+7)=0
=> n -7 = 0 or n + 7 = 0
=> n = 7 or n = -7

So option 7 , -7 are correct.

Hope this is clear :)
Have a good day:)

7 0

2 years ago

Read 2 more answers

Megan has practiced the piano for 7.5 hours over the course of this week. She practices on Tuesdays, Thursdays, and Saturdays. H

gulaghasi [49]

Answer:

150

Step-by-step explanation:

you have three days and 7.5 so decide 7.5 by 3 it equals 2.5 which in minutes is 150

7 0

3 years ago

Jenny gave her brother 4 stickers what fraction does she have left