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3 years ago

In the isosceles trapezoid, m∠S=68∘ . What is m∠Q ?

Mathematics

1 answer:

zmey [24]3 years ago

5 0

9514 1404 393

Answer:

112°

Step-by-step explanation:

Same-side angles of a trapezoid are supplementary.

m∠P = 180° - m∠S = 180° -68° = 112°

The angles of an isosceles trapezoid match their symmetrical counterparts.

m∠Q = m∠P

m∠Q = 112°

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Find the missing side. Round to the nearest tenth. 10 33° х x = [ ? ]

geniusboy [140]

Answer:

x = 15.4

Step-by-step explanation:

Reference angle = 33°

Opposite side reference angle = 10

Adjacent side = x

Therefore, we would apply the trigonometric function, TOA.

Thus:

Tan 33° = Opposite/Adjacent

Tan 33° = 10/x

Multiply both sides by x

x*Tan 33° = 10

Divide both sides by Tan 33°

x = 10/Tan 33°

x = 15.3986496

x = 15.4 (nearest tenth)

3 0

2 years ago

PLEASE HELP MEEEEE

ElenaW [278]

Answer:

t ≥ -12

Step-by-step explanation:

Divide the inequality by the coefficient of t. Because that value is negative, the sign gets reversed.

(-4t)/(-4) ≥ (48)/(-4)

t ≥ -12

5 0

3 years ago

When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.

wariber [46]

Answer:

-1

Step-by-step explanation:

You can write it as...

$x^{2} -5=4x$

Carry the 4x

$x^{2} -4x-5=0$

Then use the quadratic formula to solve, since you want to find the negative solution, you don't need to find the positive solution, so we will have

$(4-\sqrt{16+20}) /2=\frac{4-6}{2}=\frac{-2}{2} =-1$

Therefore our answer is -1

8 0

3 years ago

Draw a model that shows 21 items being divided equally for 9 people. How much will each person have?

romanna [79]

Answer:

Step-by-step explanation:

have 2 apple jimmg has 102

6 0

2 years ago

Tammy borrowed $5000 at a rate of 12% compounded monthly. Assuming she makes no payments, how much will she owe after 9 years?

Dominik [7]

Answer:

$14,644.63

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

First change 12% into a decimal:

12% -> $\frac{12}{100}$ -> 0.12

Lets plug in the values:

$A=5,000(1+\frac{0.12}{12})^{9(12)}$

$A=14,644.63$

Tammy will own $14,644.63 after 8 years,

5 0

3 years ago