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2 years ago

If m∠BAC = 60° what is m∠DBC?

2 answers:

4 0

Check the attached file for the picture of the said angle.

Since DB and DC are angle bisectors, they cut the other angle into two equal parts.

Since DCB is equal to 40 degrees, so we can say that ACB is 80 degrees.

Triangle degrees = BAC degrees + ACB degrees + ABC degrees

180 = 60 (given) + 80 + ABC degrees

40 degrees = ABC

Since DB bisects ABC = 40/20 = 20

Answer would be 20 degrees.

stealth61 [152]2 years ago

4 0

Answer: 30 degrees

Hope this helps :)

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A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the

STALIN [3.7K]

Answer:

The width of rectangle is $W=\frac{108}{13}\ cm$ or $8\frac{4}{13}\ cm$

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$P=26\ cm\\L=(x+4)\ cm\\W=12x\ cm$

substitute

$26=2(x+4+12x)$

solve for x

$26=2(13x+4)$

$26=26x+8$

$26x=26-8$

$26x=18$

$x=\frac{18}{26}$

simplify

$x=\frac{9}{13}$

<em>Find the width of rectangle</em>

$W=12x\ cm$

substitute the value of x

$W=12(\frac{9}{13})=\frac{108}{13}\ cm$

Convert to mixed number

$\frac{108}{13}\ cm=\frac{104}{13}+\frac{4}{13}=8\frac{4}{13}\ cm$

7 0

2 years ago

Please help me ASAP!

Snezhnost [94]

Answer:

y = 6.5

Step-by-step explanation:

When triangles are similar, we can set up a proportion to compare the sides. I will have the "left" side on the bottom of the fractions, and the side I am solving for on the top.

$\frac{y}{6} =\frac{13}{12}$