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3 years ago

One angle of a parallelogram measures 110°. What are the measures of the other three angles in the parallelogram?

Mathematics

1 answer:

Art [367]3 years ago

4 0

Answer:

70, 110, 70

Step-by-step explanation:

The measures of the adjacent angles of a parallelogram always add up to be 180 degrees (they are supplementary).

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Sales of $10,000 increase by 65% each year. Whats the y

Elan Coil [88]

Answer:

153.8 I guess... this is your answer

3 0

3 years ago

Given the equation -2x + 8y = 24, determine the x- and y-intercepts. PLZ HELP???

attashe74 [19]

Answer:

$x=(-12,0)$

$y=(0,3)$

Step-by-step explanation:

x-intercept

$-2(x-4y)=24$

$x-4y=-\frac{24}{2}$

$x-4y=-12$

$x=4y-12$

$x=4(0)-12$

$x=-12$

y-intercept

$-2(x-4y)=24$

$x-4y=-\frac{24}{2}$

$x-4y=-12$

$-4y=-12-x$

$y=-\frac{-12-x}{4}$

$y=-\frac{-12-(0)}{4}$

$y=\frac{12}{4}$

$y=3$

5 0

3 years ago

Given: ∆SPM, PK⊥ SM SP = 25, SM = 28, PK = 9 Find: m∠S, m∠M, PM

nevsk [136]

Answer:

∠S = 21.10°

∠M = 79.45°

PM = 9.16

Step-by-step explanation:

Here Pythagorean theorem and trigonometry suffice to solve our problem.

From the Pythagorean theorem we get:

$KM^2+9^2=PM^2$ and

$(25-KM)^2+9^2=25^2.$

We solve for $KM$ in the second equation and get:

$(25-KM)=\sqrt{25^2-9^2}$

$\therefore KM=25-\sqrt{25^2-9^2} =\boxed{1.68}$

Now since

$SK+KM=25\\\\ SK=\boxed{23.32}$

Therefore

${\angle}S=Tan^{-1}(\frac{PK}{SK}) = Tan^{-1}(\frac{9}{23.32})=21.10^o$

and

${\angle}M=Tan^{-1}(\frac{PK}{KM}) = Tan^{-1}(\frac{9}{1.68})=79.45^o.$

And finally again from the Pythagorean theorem:

$PM^2=PK^2+KM^2=9^2+1.68^2$

$\therefore PM=\sqrt{9^2+1.68^2} =9.16.$

Thus,

∠S = 21.10°

∠M = 79.45°

PM = 9.16.

7 0

4 years ago

katie received 15 gifts and a total of $100 in cash for her birthday. She buys one book that costs $23, and she wants to donate

Lady bird [3.3K]

Answer:

Katie will have 7 dollars left over.

Step-by-step explanation:

100

She buys a book so subtract 23 from 100.

100-23= 77

Katie has 77 dollars and wants to donate $10 to as much charities. 10 can go into 77, 7 times, which means she can only donate to 7 charities in $10.

6 0

3 years ago

Bryce grew 3 1/2 inches each year for the past 4 years. How many inches total has Bryce grown in the past 4 years?

juin [17]

Answer:

Step-by-step explanation:

3 1/2 multiply by 4 equals 14

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3 years ago