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lakkis [162]
3 years ago
10

classify the pair of angles. (supplementary, adjacent, vertical, or complementary) then find the value of x.

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

Supplementary angles; 148°

Step-by-step explanation:

180° - 32° = 148° (supplementary angles)

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45Y + 13Y equals 58Y is the answer

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Due today! Please help it never shows how they CREATED IT HEEEELEP
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1. The first paragraph can be paraphrased for a main idea.

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Please help!! <br> Find A
Triss [41]

Answer:

  (5/2)√13 ≈ 9.0139

Step-by-step explanation:

The longer hypotenuse is found using the Pythagorean theorem as ...

  \sqrt{8^2+12^2}=\sqrt{208}=4\sqrt{13}

The right triangles are AA similar, and vertical sides correspond. Their ratio, smaller/larger is 5/8. That means the hypotenuse of the smaller triangle, A, is 5/8 of the hypotenuse of the larger one.

  A=\dfrac{5}{8}\cdot 4\sqrt{13}= \dfrac{5\sqrt{13}}{2}

6 0
3 years ago
Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds): 6,6, 10, 6, 8, 7, 14, 12 Find the median and
kodGreya [7K]

Answer:

Median: 7.5

Mean: 8.6

Step-by-step explanation:

Median = the average of the 2 middle numbers of the set in ascending order, 6, 6, 6, <u>7, 8</u>, 10, 12, 14

(7+8)/2 = 2

Mean = the sum of the numbers divided by the number of values

6 + 6+ 6+ 7 +8 +10 +12 +14/8

69/8

8.625

4 0
2 years ago
A golfer aims for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point reaches 80 feet
Mumz [18]

Answer:

No she isn't. The value of a is a=-\frac{1}{45}

Step-by-step explanation:

We know that all quadratic equation can be written in the following way :

y=ax^{2}+bx+c (I)

Where a,b and c are real numbers.

I will attach a drawing with the quadratic graph to understand the situation.

We know by looking at the drawing and analyzing it that the parabola passes through the points : (0,0) ; (60,80) and (120,0)

(0,0) because we put our coordinates origin there.

(120,0) because that's where the golf hole is.

And (60,80) because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).

Finally, we work with the three points and the equation (I) in order to find the values of a,b and c ⇒

The parabola passes through (0,0) ⇒

y=ax^{2}+bx+c ⇒

0=a(0)^{2}+b(0)+c ⇒ c=0

The parabola passes through (60,80) ⇒

80=a(60)^{2}+b(60) ⇒

80=3600a+60b (II)

The parabola passes through (120,0) ⇒

0=a(120)^{2}+b(120) ⇒

0=14400a+120b

120b=-14400a

b=-120a (III)

Now if we use (III) in (II) ⇒

80=3600a+60(-120a)

80=3600a-7200a

3600a=-80

a=-\frac{1}{45}    ⇒ b=\frac{8}{3}

Finally the equation of the parabola is

y=-\frac{x^{2}}{45}+\frac{8}{3}x

Where the value of a is a=-\frac{1}{45}

8 0
3 years ago
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