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3 years ago

The measure of ∠BCD is 120°. The measure of ∠ABC is 85°. What is measure of ∠BAC?

Mathematics

2 answers:

Ivanshal [37]3 years ago

6 0

First of all, triangles angles add up to 180 degrees.

BCD=120. To find BCA subtract 180-120 to get 60 degrees.

We know what ABC is, it equals 85, so far we have 2 angles.

Lets add them up, 85+60=145

Since the angles must add up to equal 180 we're going to subtract 180-145

Which equals 35, BAC=35 degrees.

-Seth

devlian [24]3 years ago

3 0

Answer:35°

Step-by-step explanation:

<BCD + <C = 180° (angle on a straight line )

120° + <C = 180°

<C = 180° - 120° = 60°

<BAC + <ABC + <C = 180° (sum of interior angles of a triangle)

<BAC + 85° + 60° = 180°

<BAC + 145° = 180°

subtract 145° from bothsides

< BAC = 180° - 145° = 35°

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3 years ago

A jury pool consists of 50 potential jurors and how many ways can a jury of 12 be selected

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Solution:

we are given that

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As we know from the concept of combination that r person can be selected out of n in ncr ways. where

$n_C_r=\frac{n!}{r!(n-r)!}$

Now substitute the values we get

${50}_C_{12}=\frac{50!}{12!(50-12)!}\\
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3 years ago

The cheerleader section is on the basketball court. Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards. How man

Lady_Fox [76]

Answer:

The area of the floor space is equal to 5.83 sq yards.

Step-by-step explanation:

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We know that, the area of a rectangle is given by :

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3 years ago

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(4 + 6 + 9) + 1/2 + 2/3 + 1/4

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4 0

3 years ago

Read 2 more answers

Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than

lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²

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3 years ago