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Fofino [41]
3 years ago
10

Solve the following problems: Find x, y

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

x=1.25, y=1.75

Step-by-step explanation:

The two triangles formed (one triangle with side lengths of 5, 7, 8 and another with sides 5+x, 10, and 7+y) are similar, because they share the same angle measures.

Now, 2 sides given that we can compare ratios with are the side with length 8, and the side with length 10. 10/8= 1.25, which is the ratio of the sides on these 2 triangles.

Now we want to find what the side '5+x' is equal to. To do that we can use our  ratio, and multiply 5 by 1.25 to find '5+x'. This is 6.25. To find x, all we need to do is subtract 5 from 6.25, which is 1.25.

Let's find y now. Do the same thing that we did with the side '5+x'; find what '7+y' is by multiplying 7 by 1.25, which is 8.75. 8.75-7= 1.75.

Hope this helps! :)

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Allie deposited $80 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have
77julia77 [94]

Answer: $96.8

Step-by-step explanation:

Formular for Compounding annually :

A =P ( 1 + r/n) ^nt

Where p is the Principal given as $80

r is the rate given as 10% = 10/100 = 0.1

n is the number of times the principal was compounded, given as 1

t is the time, given as 2 years:

Slot the values into the formula:

A= $80 ( 1 + 0.1/1) ^ (1 × 2)

A= $80 ( 1 + 0.1) ^2

A= $80 ( 1.1) ^2

A= $80 (1.21)

A= $80 x 1.21

A= $96.8

96.8 is already rounded to the nearest cent.

5 0
3 years ago
Help me PLEASEEEEEEEEEEEEE
Andrej [43]

The correct answer is 2.5 cm

Explanation:

In any polygon, the area refers to the total space occupied by the polygon. In the case of triangles, the area can be calculated by multiplying the base and height and then dividing the by 2. This means b x h / 2 = area of a triangle. According to this, the area of the triangle presented is 15

5 cm (base) x  6 cm (height) = 30 cm

30 cm / 2 =  15 cm (total area)

This also means the area of the rectangle is 15 considering both figures have the same area. Additionally, the area in rectangles is calculated by multiplying the length base by the width. This implies in the case presented 6 cm x w cm = 15 cm (total area), and you can determine the value of w by using a simple equation as

6 x w = 15

w = 15 / 6

w =  2.5

Also, you can know this is the correct value because 6 cm (length) x 2.5 (width) = 15 cm which is the correct area

4 0
4 years ago
If one angle is 8 less than four times th of its complementary angle find both angle​
charle [14.2K]

Answer:

Let the angle be x

∘

. Then it's complement = (4x)

∘

.

We know that if the sum of two angles is equal to 90

∘

then the angles are said to be complementary.

Step-by-step explanation:

4x+x=90°

5x=90°

x=90°/5

x=18

4×18=72°

This is the complete solution!

(ノ◕ヮ◕)ノ*.✧STAY CONNECTED ❣️

5 0
2 years ago
Graph the function <br> Is it a, b, c or d?
Jobisdone [24]

Answer:

D

Step-by-step explanation:

(the line is a / shape, so the slope is positive)

(the line crosses the y axis at (0,-2))

(using the above information, we can conclude that the equation is y=2x-2)

or

slope = m = rise/run = 2/1 = 2

y=mx+b

y=2x+b

Choose any point on the line) (1,0)

0=2(1)+b

b=-2

y=2x-2

6 0
3 years ago
Greg earned $45.76 in 6.4 hours. How much did he earn per hour?
Alisiya [41]

Answer:

The answer is $7.15 (A)

Step-by-step explanation:

3 0
3 years ago
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