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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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Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdr
Nonamiya [84]

Answer: The amount of money in his account after 4 years = $7,658.73

Step-by-step explanation:

If interest is compounded annually, then formula to compute amount :

A=P(1+r)^n, where P+ principal value, r= rate of interest, n= time ( in years).

As per given,

P= $6700 ,  r = 3.4% =0.034, n =4

A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73

Hence, the amount of money in his account after 4 years = $7,658.73

6 0
3 years ago
8u+9v+3u+5v simplify.​
svet-max [94.6K]

Answer: 11 u + 14 v

Step-by-step explanation:

Just add the like terms together.

6 0
3 years ago
Find the 63rd term of the arithmetic sequence -1, 5, 11, ...−1,5,11,...
Ugo [173]

Answer:

a_6_3=371

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference

we have

-1,5,11,...

Let

a_1=-1\\a_2=5\\a_3=11

a_2-a_1=5-(-1)=5+1=6

a_3-a_2=11-5=6

The common difference is d=6

We can write an Arithmetic Sequence as a rule

a_n=a_1+d(n-1)

where

a_n is the nth term                

d is the common difference

a_1 is the first term

n is the number of terms

Find the 63rd term of the arithmetic sequence

we have

n=63\\d=6\\a_1=-1

substitute

a_6_3=-1+6(63-1)

a_6_3=-1+6(62)

a_6_3=-1+372

a_6_3=371

6 0
3 years ago
Which equation represents a line which is perpendicular to the line y=-4/5x+2?
lyudmila [28]

Answer:

D) 4x + 5y = -30 = -4/5

Step-by-step explanation:

A) 5x + 4y = 28 slope = -5/4

b) 4x-5y = -25 slope = 4/5

c) 4y - 5x = -12 slope = 5/4

d) 4x + 5y = -30 slope = -4/5

5 0
2 years ago
Please help me I’m dying
Alex

Answer:

a° = 58°

b° = 48°

c = 74°

d° = 122°

Step-by-step explanation:

<em>Angles on a straight line add up to 180°</em>

58° + d° = 180°

d° = 180° - 58° = 122°

<em>Alternate angles are equal.</em>

a° = 58°

<em>Angles in a triangle add up to 180°.</em>

48° + 58° + c° = 180°

106° + c° = 180°

c° = 180° - 106° = 74°

<em>Angles on a straight line add up to 180°</em>

74° + 58° + b° = 180°

132° + b° = 180°

b° = 180° - 132° = 48°

5 0
2 years ago
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