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Alexxx [7]
3 years ago
11

I have to find the length of the angle indicated for the trapezoid

Mathematics
1 answer:
Stels [109]3 years ago
6 0
That is not a trapezoid, it is a general quadrilateral.  All 2-dimensional, 4-sided figures have an internal angle sum of 360 (triangles are 180).  So if you assume angles P and Q are right, they are each equal to 90 degrees, for a total of 180.
Subtract: 360 - 180 = 180.  We know that S + R must equal 180.  If you subtract 180 - 65, you get 115, which is obtuse (greater than 90 degrees).  This matches the drawing as the unknown angle is clearly greater than 90.  So the answer is 115 degrees.
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Flauer [41]
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8 0
3 years ago
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The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equa
Sedaia [141]

Answer:

<h3>               f(x) = 6(x - 2)² + 3</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k    - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means:  a>0

"the parabola has x = 2 as an axis of symmetry" means:  h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and  k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

                                     <u> f(x) = 6(x - 2)² + 3</u>

4 0
3 years ago
(0.5 + 0.5) x 983.33=
mote1985 [20]

Answer: 983.33

Step-by-step explanation:

(0.5+0.5) x 983.33

      1        x  983.33 =  983.33

           

4 0
3 years ago
PLEASE HELP ASAP
neonofarm [45]

Answer:

9 Quarters

8 Dimes

3 Nickels

Step-by-step explanation:

We let the number of quarters be q

number of dimes be d

and

number of nickels be n

Since quarters are worth 0.25, dimes are worth 0.10 and nickels are worth 0.05 and total worth is 3.20, we can write an equation as:

0.25q + 0.10d + 0.05n = 3.20

Next,

3 times as many quarters as Nickels, we can write:

q = 3n

and

5 more dimes than nickel, we can write:

d = n + 5

Substituting these last 2 equations in the first and solving for n gives us:

0.25q + 0.10d + 0.05n = 3.20

0.25(3n) + 0.10(n+5) + 0.05n = 3.20

0.75n + 0.10n +0.5 + 0.05n = 3.20

0.9n = 2.70

n = 2.70/0.9 = 3

n = 3

We know q = 3n, so

q = 3(3) = 9

Also, we know d = n + 5, which means:

d = 3 + 5 = 8

Thus,

There are:

9 Quarters

8 Dimes

3 Nickels

5 0
3 years ago
Abram rode his bike 18 miles, which is three times as far as Harley. How far did Harley ride? ​
worty [1.4K]

Answer: 6

Step-by-step explanation:

6 x 3 = 18

7 0
3 years ago
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