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3 years ago

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Line segments AD and BE intersect at C, and triangles ABC and DEC are formed. They have the following characteristics: ∠ACB and

∠DCE are vertical angles ∠B ≅ ∠E BC ≅ EC Which congruence theorem can be used to prove △ABC ≅ △DEC? HL ASA SSS SAS

1 answer:

xenn [34]3 years ago

8 0

Answer: The answer is ASA, ed2020

Step-by-step explanation:

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In kite WXYZ, mZWY = 41° and mXYW = 11°<br><br><br> What is mWZY?

olchik [2.2K]

Answer:

128°

Step-by-step explanation:

In kite WXYZ, WY and XZ are longer and smaller diagonals respectively.

Longer diagonal bisects the opposite angles.

$\therefore m\angle ZYW =m\angle XYW$

$\because m\angle XYW = 11\degree... (given)$

$\therefore m\angle ZYW =11\degree$

$In\: \triangle WYZ$

$m\angle ZYW + m\angle ZWY + m\angle WZY=180\degree$

$11\degree + 41\degree+ m\angle WZY=180\degree$

$52\degree+ m\angle WZY=180\degree$

$m\angle WZY=180\degree - 52\degree$

$\purple{\bold {m\angle WZY=128\degree}}$

8 0

3 years ago

A rectangle is 9 ft long and 40 in. wide. What is it’s area in square feet?

vladimir1956 [14]

<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ 40 inches = 3.33333

Area = length x width

Substitute the values:

Area = 9 x 3.33333

Solve:

Area = 30ft^2

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ <u>ʜᴀɴɴᴀʜ</u> ♡

3 0

3 years ago

Read 2 more answers

What is the geometric mean of 3 and 18

anyanavicka [17]

Answer:

$3 \sqrt{6}$

7 0

3 years ago

Read 2 more answers

Given the coordinates below, what is the midpoint of AB?<br> A(-6, -10)<br> B(2,5)

madreJ [45]

Given :

$\:$

A(-6, -10)
B( 2, 5)

$\:$

$\gray{ \frak{The \: given \: two \: \: points \: are(x_{1 },y_{1})=(−6 , -10)and(x_{ 2 },y_{2} )=( 2,5 )\:}}$

$\:$

Let's solve by using midpoint formula :

$\:$

$\bf \boxed{\color{red}\frak{Midpoint \: \: Formula : {( \: x ,\:y \: ) = }( \frak{ \frac{x_{1 } + y_{1}}{2} , \frac{x_{2 } + y_{2}}{2} )}}}$

$\:$

$\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -6 + 2}{2} , \frac{ - 10 + 5}{2} )}}$

$\:$

$\: \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -4}{2} , \frac{ - 5}{2} )}}$

$\:$

$\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \cancel\frac{ -4}{2} , \cancel\frac{ - 5}{2} )}}$

$\: \:$

$\underline{ \boxed{ \large \red{ \frak{option \: d }( \frak{ - 2, - 2.5)}}}}✓$

Hope Helps! :)

6 0

2 years ago

A. Sam purchased 3 games for $140 after a discount of 30%. What was the original price?

Semmy [17]

Answer:

a) $175 b) It will be $126

Step-by-step explanation:

Cost price of 3 games= $140

Let the original price of games= $ x

Discount is given= 30%

According to question

x $\frac{(100-20)}{100}$ = $140

x $\frac{80}{100}$ = $140

x ×0.8= $140

x= $ $\frac{$140}{0.8}$

x= $175

Hence, the original price of games $ 140

(b) If Sam had given a discount of 20%

Again a discount = 10%

The price of games=$ 140

Now, the selling price will be= 175 $\frac{(100-20)}{100}$ × $\frac{(100-10)}{100}$

Now, the selling price will be= $ 126

Hence, the price will be different.

7 0

4 years ago