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kipiarov [429]
3 years ago
15

Given AFGH is a cyclic quadrilateral, find the value below:

Mathematics
1 answer:
Oliga [24]3 years ago
5 0

Answer:

238°

Step-by-step explanation:

In a cyclic quadrilateral, the pair of opposite angles add up to 180 degrees.

So, the angle "21x - 2" and the angle "38x + 5"  add up to 180.

So, we can write an equation and solve for x first:

21x-2+38x+5=180\\59x+3=180\\59x=180-3\\59x=177\\x=3

x = 3

Now, Arc FGH is DOUBLE of Angle A. Angle A is "38x + 5". We know x, so angle A is:

Angle A = 38x + 5 = 38(3) + 5 = 119

Thus, Arc FGH = 2 * 119 = 238°

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A bank loaned out $21,500, part of it at the rate of 15% annual interest, and the rest at 9% annual interest. The total interest
Nuetrik [128]

Answer:

So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5

And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5

Step-by-step explanation:

This problem can be solved in several ways. The way I like is as follows.

Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:

21000(P) = 2215

P = 0.1055 or 10.55 %

This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is

10.55 = 4(1 – X) + 15X

Where X is the proportion of the loan given at the indicated interest. So

10.55 = 4 – 4X + 15X

6.55 = 11X

X = 0.5955

1-X = 0.4045

So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5

And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5

6 0
3 years ago
What is the multiplicative rate of change for the exponential function f(x) = 2()–x?
Sauron [17]
I think its 2/5 = .4 <span>because of the negative in the exponent, it is 0.4</span> Hope I helped :)
4 0
3 years ago
Read 2 more answers
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igor_vitrenko [27]

Answer:

1st Question:

(2,-3)

(3,-1)

(3,1)

(4,1)

(5,3)

2nd Question

y=-2+10x (graph in desmos to be sure)

Step-by-step explanation:

1st Question: just write the x and the y that the x is pointing to

2nd Question: type the points on a table in desmos and find a equation that goes through the same line

3 0
3 years ago
If a point at (3,-4) is reflected over the X-axis to form a new point What will be the coordinate of the new point? (-3,-4), (3,
ira [324]

Answer:

(3,4) because only the y would change when it is being reflected over the x axis :)

Step-by-step explanation:

5 0
3 years ago
Would someone please help me with this
Ipatiy [6.2K]

Answer:

12,000 m³

Step-by-step explanation:

  • Area of it's base = 900 m²
  • Height of the pyramid = 40 m

The volume of a pyramid = 1/3 × area of base × height

= 1/3 × 900 × 40

= 300 × 40

= 12,000 m³

4 0
3 years ago
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