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2 years ago

Solve for x in the following angle relationship. Please also identify the type of angles given:

Mathematics

1 answer:

Nuetrik [128]2 years ago

6 0

9514 1404 393

Answer:

x= 10, corresponding

Step-by-step explanation:

Corresponding angles are in the same direction from their respective intersections. Here, the angles are both northwest of the point where the lines cross. The angles are corresponding.

Corresponding angles are congruent, so we have ...

10x +10 = 110

10x = 100 . . . . . subtract 10

x = 10 . . . . . . . . divide by 10

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A investor obtained a loan of $600,000 to buy a car wash business. The monthly mortgage payment was based on 30 years at 5.5%. F

Lisa [10]

Answer:

The monthly mortgage payment is $ 8306.58

Step-by-step explanation:

Given as :

The loan taken as $ 600,000

The rate of interest = 5.5 %

The time period = 30 Years

So, from compounded method

Amount = principal × $(1 +\frac{Rate}{100})^{Time}$

or, Amount = $ 600,000 × $(1 +\frac{5.5}{100})^{30}$

Or, Amount = $ 600,000 × $(1.055)^{30}$

∴ Amount = $ 2990370.77

<u>Now for The monthly mortgage payment </u>

∵ Time period is 30 years

So , 30 years = 12 × 30 = 360 months

∴ Amount payment in monthly =$ $\frac{2990370.77}{360}$

Or, Amount payment in monthly =$ 8306.58

Hence The monthly mortgage payment is $ 8306.58 Answer

4 0

3 years ago

Find the area of the shaded region

zepelin [54]

Answer:

area of a circle πr^2

r = 10/2 r = 5

π5^2 = 78.5

area of the square length X width

7 x 7 = 49

78.5 - 49 = 29.5

shaded region = 29.5 square cm

3 0

3 years ago

Read 2 more answers

Determine the intercepts of the line y= -2x - 21

soldier1979 [14.2K]

Answer:

what's there to intercept its 1 line

5 0

3 years ago

Identify the two rational numbers 2.7182818459, 2.777777, square root 3, -7/3

Tasya [4]

Answer:

2.777777 and -7/3

Step-by-step explanation:

2.7182818459 cannot be written in fraction form therefore it is irrational.

2.777777 is rational because it can be written as the fraction 25/9

The square root of 3 is 1.7320508075688772, this number cannot be written as a fraction so it is irrational.

-7/3 is rational because it is already in fraction form.

6 0

3 years ago

Read 2 more answers

For the parent function y=√x what effect does a value of k = -3 have on the graph?

luda_lava [24]

Answer:

Vertical shift of 3 units down ⇒ last answer

Step-by-step explanation:

* Lets revise the translation of a function

- If the function f(x) translated horizontally to the right

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

* Lets solve the problem

∵ The parent function y = √x

∵ There is a translation by k = -3

- From the rules above k is for the vertical translation

∵ k = -3

- That means the parent function translated 3 units down

∴ The value of k = -3 makes the graph of the parent function translated

3 units down

- For more understand look to the attached graph

# y = √x ⇒ the red graph

# y = √x - 3 ⇒ the blue graph

4 0

3 years ago