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victus00 [196]
3 years ago
10

Can I get help with these too? Thank you!!!!!

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0
For ABC:

The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54

The measure of angle ABC = x - 5 = 54 - 5 = 49

For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21

The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
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A full container of juice holds 64 fluid ounces.How many 7 fluid ounce servings of juice are in a full container?
choli [55]
There is 9 serving of 7 fluid ounces with a remainder of 1 fluid ounce 




if you meant 8 fluid ounce servings then it would be 8 servings with no remainder 
5 0
3 years ago
Consider the line y=-5/9x+6
Arlecino [84]

Answer:

See below in bold.

Step-by-step explanation:

Use the point-slope form of a straight line

y - y1 = m(x - x1)

Here m = -5/9 , x1 = 9 and y1 = -3:, so

y - -3 = -5/9(x - 9)

y + 3 = -5/9x + 5

y = -5/9x + 2  is the equation parallel to the given line.

The  line perpendicular to the given line will have a slope of - 1 / -5/9

= 9/5 so its equation is

y  + 3 = 9/5(x - 9)

y = 9/5x - 81/5 - 3

y = 9/5x - 96/5 .

4 0
3 years ago
What number is between 3.16 and 3.17?
VladimirAG [237]
There are multiple answers to this question
Answers: 3.161, 3.162, 3.163, 3.164, 3.165, 3.166, 3.167, 3.168, 3.169
(You can just pick one)

Reason: just look at the place numbers. The number has to be between 3.16 and 3.17. So go to the next place value which is the thousandths place. 3.161-3.169 all are between since they have a 6 in the hundredths place, but does not go over 1.17
4 0
3 years ago
2 1⁄2 ÷ 1 3⁄6 please help me with the RIGHT answer.
ycow [4]

Answer:

1\frac{2}{3}

Step-by-step explanation:

We want to simplify:

2 \frac{1}{2}  \div 1 \frac{3}{6}

This is the same as:

2 \frac{1}{2}  \div 1 \frac{1}{2}

Now let us convert the mixed numbers to improper fractions.

\frac{5}{2}  \div  \frac{3}{2}

We multiply by the reciprocal of the second fraction to get:

\frac{5}{2}  \times  \frac{2}{3}

Cancel out the common factors to obtain:

\frac{5}{3}  = 1 \frac{2}{3}

5 0
3 years ago
Find all solutions in the interval [0,2pi).<br> 2sin^2(x)=sin(x)
SIZIF [17.4K]

2\sin^2 x  =\sin  x \\\\\implies 2 \sin^2 x -  \sin x=0\\\\\implies \sin x(2 \sin x -1) =0\\\\\implies \sin x =  0~~\text{or}~~ 2 \sin x -1 =0\\\\\implies \sin x = 0~~ \text{or}~ ~ \sin x = \dfrac 12\\\\\text{For}~~ \sin x = 0\\\\x=n\pi \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=0, \pi\\\\\text{For}~~ \sin x = \dfrac 12\\\\x=n\pi+(-1)^n \dfrac{\pi}6 \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=\dfrac{\pi}6,~ \dfrac{5\pi}6\\\\\text{Hence,}~ x = 0,~\pi,~ \dfrac{\pi}6, ~\dfrac{5 \pi}6

4 0
2 years ago
Read 2 more answers
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