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leonid [27]
3 years ago
7

What is the area of this trapezoid?

Mathematics
2 answers:
lilavasa [31]3 years ago
8 0
Well you 86 + 63 = 149 • 4 = 596 divide 2 = 298ft2
Ymorist [56]3 years ago
3 0
You add 63 43 86 together multiply it by four and divided by two
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Find the missing side lengths leave your answer as a racials simplest form
Aleksandr-060686 [28]

Answer:

m=7\sqrt3

n=7

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14

We need to find the lengths of m and n

Firstly, let's find the measure of the other acute angle

The acute angles in a right triangle are complementary, meaning they add up to 90 degrees

Let's make the measure of the unknown acute angle x

So x+60°=90°

Subtract 60 from both sides

x=30°

So the measure of the other acute angle is 30 degrees

This makes the right triangle a special kind of right triangle, a 30°-60°-90°  triangle

In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is \frac{a}{2}, and the leg opposite from the 60 degree angle is \frac{a\sqrt3}{2}

In this case, a=14, n=\frac{a}{2}, and m=\frac{a\sqrt3}{2}

Now substitute the value of a into the formulas to find n and m to find the lengths of those sides

So that means that n=\frac{14}{2}, which is equal to 7

And m=\frac{14\sqrt3}{2}, which simplified, is equal to 7\sqrt3

Hope this helps!

7 0
3 years ago
The ratio of boys to girls in Anaya’s class is 10 to 15. There are 20 boys how many girls are there
ASHA 777 [7]

Answer:

30 girls

Step-by-step explanation:

10 x 2= 20

15x2=30

For every 10 boys there are 15 girls. since 20 is just 10 multiplied by 2 you can multiply 15 by 2

7 0
3 years ago
24. DESS SENSE-MAKING Two times the least of three consecutive odd integers exceeds
lilavasa [31]

Answer:

-27, -25, -23

Step-by-step explanation:

Let the three consecutive odd integers be:

First integer = a

Second integer = a + 2

Third integer = a + 4

Two times the least integer = 15 + three times the greatest

2a = 3(a + 4) + 15

2a = 3a + 12 + 15

2a - 3a = 27

a = -27

So the first integer is -27, the second integer is -25 and the third integer is -23.

5 0
3 years ago
Indicate whether the following congruence statement is true or false.<br> 50 points
andreyandreev [35.5K]

Step-by-step explanation:

The congruence statement is correct as KL = KR, LM = RQ and MK = QK. Also all the congruent angles correspond to the respective letters.

8 0
3 years ago
Read 2 more answers
Which statements about the graph of the function f(x) = 2x^2– x – 6 are true? Select two options.
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

Please, share the answer options next time.

1)  f(x) = 2x^2– x – 6 is a quadratic function.  

2) The coefficients of this polynomial are a = 2, b = -1 and c = -6

2)  Its graph opens up.

3)  The x-value of the axis of symmetry and the vertex is x = -b / (2a), which here comes out to x = -(-1) / [2(2)], or x = 1/4

4) the y coordinate of the vertex is f(1/4), or -6 1/8

5) The vertex is at (1/4, -6 1/8)

6)  The y-intercept is at f(0):  2(0)^2 - 0 - 6 = -6  =>  (0, -6)

3 0
3 years ago
Read 2 more answers
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