The figure below shows two pair of congruent triangles. ΔDEF ≅ ______. ΔWXY ΔWYX ΔYWX ΔYXW

Mathematics

2 answers:

denis-greek [22]2 years ago

4 0

Answer:

YXW

Step-by-step explanation:

Alexandra [31]2 years ago

3 0

Answer:

YXW

Step-by-step explanation:

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Angle Sum Theorem, thank you so much for the help, in advance!

daser333 [38]

Answer:

x=20°, and y is 90° btw

Step-by-step explanation:

This is an iscoceles triangle, since the base angles are equal and the altitude bisects one of the angles. 180 - 110 = 70, meaning the angles are 70 , 70 and 2x. We know that 70 + 70 + 2x = 180 from the angle sum theorem, so 140 + 2x = 180, and 40 = 2x. x = 20°

7 0

3 years ago

Original price $29.99, markdown is 33 1/3%

Allushta [10]

Subtract 33.333% from 100%; you'll get 66.667%.

Mult the original price by 0.66667: ($29.99)(0.667) = $20.00 (answer)

This answer reflects a 33.333% discount from the regular price of the item.

7 0

2 years ago

I got c which is 100 but I don’t know how jerry got A

Anna007 [38]

Choice C is the correct answer because

$\frac{(6+2)^3-12}{5}\\\\\frac{(8)^3-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100\\\\$

So in short, $\frac{(6+2)^3-12}{5}=100\\\\$

------------------------------------------

The mistake Jerry likely made was that he only cubed the 2 and didn't realize the 6 was part of that cubing process. It seems he didn't add first and decided to cube before adding.

This is probably what steps Jerry did

$\frac{6+2^3-12}{5}\\\\\frac{6+8-12}{5}\\\\\frac{14-12}{5}\\\\\frac{2}{5}\\\\$

But as mentioned, those steps are incorrect because the 6 is part of the cubing operation. In other words, Jerry should have added the 6+2 first before cubing afterward (due to PEMDAS determining the order of operations).

Or you could think of it like this

$\frac{(6+2)^3-12}{5}\\\\\frac{(6+2)(6+2)(6+2)-12}{5}\\\\\frac{(8)(8)(8)-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100$