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3 years ago

The ratio of two complementary angles is 17:13. What is the measure of the smaller angle?

1 answer:

8 0

We know by definition that complementary angles add up to 90 degrees. We can set up an equation using the ration given:

17x+13x=90, with x representing the amount you need to multiply the ratio by to get 90.

17x+13x=90
30x=90
x=3

We now know that the number we multiply the ratio by is 3. The smaller number in the ratio is 13, and so therefore we multiply it by 3.

3*13=39

The answer is 39 degrees.

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In ΔSTU, m∠S=(11x+3)∘,∠T=(2x+16)∘, and m∠U=(x+7)∘. Find .

frozen [14]

Answer:

x = 11

Step-by-step explanation:

In ΔSTU ,

m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°

According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.

So,

$11x + 3 + 2x + 16 + x + 7 = 180$

$= > 14x + 26 = 180$

$= > 14x = 180 - 26 = 154$

$= > x = \frac{154}{14} = 11$

6 0

3 years ago

Beatrice built about 1/3 of a sandcastle. Linda built 4/7 of the same castle. What fraction of the sandcastle did they build tog

wlad13 [49]

Answer

Find out the what fraction of the sandcastle did they build together .

To prove

Let us assume that the fraction of the sandcastle they build together be x .

As given

$Beatrice\ built\ about\ \frac{1}{3}\ of\ a\ sandcastle.$

$Linda\ built\ \frac{4}{7}\ of\ the\ same\ castle.$

Than the equation becomes

$x = \frac{1}{3} +\frac{4}{7}$

L.C .M of (3,7) = 21

solving

$x = \frac{7 + 3\times4}{21}$

$x = \frac{19}{21}$

Therefore the fraction of the sandcastle did they build together be

$x = \frac{19}{21}$

Hence proved

4 0

3 years ago

given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.

Serggg [28]

Answer:

Not a triangle.

Step-by-step explanation:

Sum of the two smaller sides must be greater than the largest side.

8 0

3 years ago

Y = –x + 4

aliina [53]

Y = -x + 4.....so sub in -x + 4 in for y in the other equation

x + 2y = -8
x + 2(-x + 4) = -8
x - 2x + 8 = -8
x - 2x = -8 - 8
-x = -16
x = 16

y = -x + 4
y = -16 + 4
y = - 12

one solution (16,-12)

8 0

3 years ago

Read 2 more answers

How to solve the problem

777dan777 [17]

Hope this helps.....

4 0

3 years ago