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My name is Ann [436]
3 years ago
5

#19 Quadrilateral ABCD is a parallelogram. What is the measure of

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

133°

Step-by-step explanation:

In the attached file

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Two times a number added to another number is 25. Three times the first number minus the other number is 20. Find the numbers.
lesantik [10]

Answer:

first number is 9

second number is 7

Step-by-step explanation:

2x + y = 25

3x - y = 20

Add the two equations so that 'y' is eliminated:

5x = 45

x = 9

2(9) + y = 25

18 + y = 25

y = 7

7 0
2 years ago
how many liters of glycerin should be added to 12 Liters of an 8% glycerin solution so that the resulting solution contains 16%
mojhsa [17]

Answer:

1.14 liters

Step-by-step explanation:

We have 8% glycerin solution and we need to make it 16%  glycerin solution [more concentration].

When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??

Note, 16% = 0.16

We can write a Ratio as shown below, cross multiply and solve for x:

\frac{0.96+x}{12+x}=0.16\\(12+x)(0.16)=0.96+x\\1.92+0.16x=0.96+x\\1.92-0.96=x-0.16x\\0.96=0.84x\\x=1.14

We need to add around 1.14 liters

4 0
3 years ago
Read 2 more answers
Write the standard form of the equation of line through (3, -1) with a slope of -1.
kirill115 [55]

The standard form of a line: Ax+By=C.

The point-slope form: y-y_1=m(x-x_1)

We have the point (3, -1) and the slope m = -1. Substitute:

y-(-1)=-1(x-3)

y+1=-x+3                    <em>add x to both sides</em>

x+y+1=3             <em>subtract 1 from both sides</em>

\boxed{x+y=2}

5 0
3 years ago
How much interest is earned for the investment? $20,000 for 2 years at 6% compounded annually
Sunny_sXe [5.5K]
You earn $2,400 in interest over the 2 years 
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3 years ago
Lee’s teacher gave her a picture of an angle and asked her to perform a common construction on the figure. Lee used a compass to
Lelechka [254]

Answer:

Congruent Angles

Step-by-step explanation:

8 0
3 years ago
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