Identify each pair of angles named below as adjacent angles or vertical angles.

2. State whether the change is increasing or decreasing. Round your percent of change to the nearest integer percent. originally

marysya [2.9K]

Answer:

The change is increasing with a percentage of change of 64%

Step-by-step explanation:

Since we have the present grater than the original, then the change is increasing

Secondly, we want to calculate the percent of change

Mathematically , that will be ;

(present - original)/original * 100%

= (90-55)/55 * 100%

= 35/55 * 100% = 63.63 which is approximately 64%

7 0

3 years ago

Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025?

nekit [7.7K]

The maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month, so the correct option is A.

<h2><u>How to determine the amount using the standard 28/36 guides?</u></h2>

To determine, using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025, the following calculation must be made:

((73025 x 36) / 100) / 12 = X
(2,628,900 / 100) / 12 = X
26,289 / 12 = X
2,190.75 = X

Therefore, the maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month.

Learn more about mortgages in brainly.com/question/20589209

4 0

2 years ago

please help :{ brainliest if you can get it right and I need you to prove why your answer is correct, thanksss

beks73 [17]

Answer:

The Value of $a=\frac{15}{4}$ .

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

$sin\ \theta = \frac{opposite\ side}{Hypotenuse}$

$sin \ S= \frac{PQ}{QS}$

Substituting the given values we get;

$sin\ 30\°=\frac{x}{15}$

Now we know that;

$sin\ 30\° = \frac12$

So we can say that;

$\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}$

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

$Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\$

$Cos\ Q = \frac{QR}{PQ}$

Substituting the given values we get;

$cos 60\°= \frac{a}{x}$

Now we know that;

$cos 60\°= \frac12$

$x=\frac{15}{2}$

So substituting the values we get;

$\frac{1}{2}=\frac{a}{\frac{15}{2}}$

By Using Cross Multiplication we get;

$a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}$

Hence The Value of $a=\frac{15}{4}$ .

6 0

3 years ago

2. Which graph represents the solution to the given system? (1 point)

matrenka [14]

Answer:

1000000000000000million

4 0

2 years ago

1. <br>Solve the quadratic equation using quadratic formula :<br><br>x2 – 7x + 12 = 0

frez [133]

Answer:

x = 4 and 3

Step-by-step explanation:

[7±√(-7)²-4(1)(12)]/2

x = 4, 3

3 0

2 years ago