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OLga [1]
3 years ago
6

What is the measurements of A.30 B.45 C.75 D.90

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

m<JAK=3x

m<JAK=180-90-30=60

m<LAF=m<JAK=60

60+5x+3x=180

8x=120

x=15

m<JAH=3x=3(15)=45 degrees

answer: 45 degrees

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topjm [15]
Sarah will need 1/4 cup of blueberries to make a cup of jam.
6 0
3 years ago
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A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq
Nitella [24]

Answer: 2x^2-7x=72 , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

\Rightarrow\ 2x^2-7x=72

Hence, the equation that represents the given situation :

2x^2-7x=72

7 0
3 years ago
What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?
Sophie [7]
Hi there! The answer is B.

5r \leqslant 6r - 8
Subtract 6r from both sides.

- r \leqslant  - 8
Divide both sides of the inequality by -1. Remember that dividing by a negative makes the sign flip.

r \geqslant 8
Therefore, the solution must be bigger than or equal to 8. From the given solution set, the answer is B. {8, 9, 10}

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3 0
3 years ago
Given: KLIJ is inscribed in circle k(O)
Tems11 [23]

Check the picture below.

let's notice that the angle at K is an inscribed angle with an intercepted arc

\bf \stackrel{\textit{using the inscribed angle theorem}}{K=\cfrac{\widehat{LI}+\widehat{IJ}}{2}}\implies 9x+1=\cfrac{(10x-1)+59}{2} \\\\\\ 9x+1=\cfrac{10x+58}{2}\implies 18x+2=10x+58\implies 8x+2=58 \\\\\\ 8x=56\implies x=\cfrac{56}{8}\implies x=7 \\\\[-0.35em] ~\dotfill\\\\ K=9x+1\implies K=9(7)+1\implies \boxed{K=64}

now, let's notice something again, the angle at L is also an inscribed angle, intercepting and arc of 97 + 59 = 156, so then, by the inscribed angle theorem,

∡L is half that, or 78°.

now, let's take a look at the picture down below, to the inscribed quadrilateral conjecture, since ∡J and ∡I are both supplementary angles, then

∡I = 180 - 64 = 116°.

∡J = 180 - 78 = 102°.

7 0
3 years ago
What is the quotient?
skelet666 [1.2K]

Answer:

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Step-by-step explanation:

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