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4 years ago

M angle D=? What is the degree of the angle?

Mathematics

1 answer:

bekas [8.4K]4 years ago

6 0

Answer:

Step-by-step explanation:

In ACB and ECD

AC =~ CE [ Given ]

BC =~ CD [ Given ]

<ACD =~ <ECD [ Vertical angles ]

Hence, ∆ ACB =~ ECD by SAS congruency of triangles.

Then, <B = <D

In ∆ABC , sum of all three angles must be 180°

<A + <B + <C = 180°

plug the values

$30 + < d \: + 70 = 180$

Add the numbers

$100 + < d = 180$

Move constant to R.H.S and change it's sign

$< d = 180 - 110$

Subtract the numbers

$< d = 80$ °

Hope this helps..

Best regards!!

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douwdek0 and 17 more users found this answer helpful

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Step-by-step explanation:

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3 years ago

Given the point and slope, write the equation of the line

Ratling [72]

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$\bf (\stackrel{x_1}{-12}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-14}{6-(-12)}\implies \cfrac{-15}{6+12}\implies \cfrac{-15}{18}\implies -\cfrac{5}{6}$

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3 years ago

Solve the inequality. r6≤3

ladessa [460]

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4 years ago

Read 2 more answers

Find the product of 543 and 36. A. 507 B. 19,548 C. 15.08 D. 579

omeli [17]

1 Set up the long multiplication.

543x36

2 Calculate 3 x 6, which is 18.
Since 18 is two-digit, we carry the first digit 1 to the next column.

3 Calculate 4 x 6, which is 24. Now add the carry digit of 1, which is 25.
Since 25 is two-digit, we carry the first digit 2 to the next column.

4 Calculate 5 x 6, which is 30. Now add the carry digit of 2, which is 32.
Since 32 is two-digit, we carry the first digit 3 to the next column.

5 Bring down the carry digit of 3.

6 Calculate 3 x 3, which is 9.

7 Calculate 4 x 3, which is 12.
Since 12 is two-digit, we carry the first digit 1 to the next column.

8 Calculate 5 x 3, which is 15. Now add the carry digit of 1, which is 16.
Since 16 is two-digit, we carry the first digit 1 to the next column.

9 Bring down the carry digit of 1.

10 Calculate 3258 + 16290, which is 19548


11 Therefore, 543 x 36 = 19548.

The answer is B.19548

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3 years ago

Read 2 more answers