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3 years ago

An angle measures 38° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

seropon [69]3 years ago

6 0

Answer: 38° and 52°

Steps:
x + 38° = 90°
x = 90° - 38°
x = 52°

90° - 52° = 38°

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I NEED ANSWERS 8x-7y=10 for y

Degger [83]

Answer: y = -10/7 + 8x/7 x = 5/4 + 7y/8

Step-by-step explanation: Move all terms that don't contain y to the right side and solve. Move all terms that don't contain x to the right side and solve.

7 0

3 years ago

Marco deposited $500 in a savings account earning 4% interest over 5 years.

motikmotik

The correct answer is c. $100

8 0

4 years ago

What is the value of x in the equation three-fourths (one-fourth x 8) minus (one-half x 2) = startfraction 3 over 8 endfraction

Oksi-84 [34.3K]

The value of x in the equation is x=-44.

The given equation is $\frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}$ .

An algebraic expression in mathematics is an expression that's made from variables and constants, together with algebraic operations (addition, subtraction, etc.). Expressions are made of terms.

Firstly, apply the distributive property as a(b+c)=ab+ac and get

$\begin{aligned}\frac{3}{4}\times \frac{1}{4}x+\frac{3}{4}\times 8-\frac{1}{2}x-2&=\frac{3}{8}\times 4-\frac{3}{8}\times x-\frac{1}{4}\\ \frac{3x}{16}+6-\frac{x}{2}-2&=\frac{3}{2}-\frac{3x}{8}-\frac{1}{4} \end$

Now, rearrange the terms by taking variable terms on the left-hand side and constant terms on the right-hand side as

$\frac{3x}{16}-\frac{x}{2}+\frac{3x}{8}=\frac{3}{2}-\frac{1}{4}-6+2$

Further, simplify the above expression by taking L.C.M as

$\begin{aligned}\frac{3x-8x+6x}{16}&=\frac{6-1}{4}-4\\ \frac{x}{16}&=\frac{5-16}{4}\\ \frac{x}{16}&=\frac{-11}{4}\end$

Then, multiply both sides with 4 and get

$\begin{aligned}4\times \frac{x}{16}&=4\times \frac{-11}{4}\\ \frac{x}{4}&=\frac{-11}{1}\end$

Furthermore, cross multiply both sides and get

$x=-44$

Hence, the value of x in the equation which is given $\frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}$ is x=-44.

Learn about algebraic expression from here brainly.com/question/8690932

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8 0

2 years ago

Unit rate for 15 degrees in 2 hours

Tpy6a [65]

A unit rate is something per one.

That means that we also need to include units so that we could know what we are talking about.

Basically divide, since this one is simple.

15/2 = 7.5

7.5 degrees per hour is our unit rate

4 0

3 years ago

Find the coordinate A if M (-5,-9) is the midpoint of AB and B has coordinate of (3,-5)

rodikova [14]

The coordinates of Point A are (-13,-13)

Step-by-step explanation:

The formula for mid-point of two points (x1,y1) and (x2y2) is given by:

$M = (\frac{x_1+x_2}{2} , \frac{y_1,y_2}{2})$

Given

M = (-5,-9)

B(x2,y2) = (3,-5)

Putting the values

$(-5,-9) = (\frac{x_1+3}{2} , \frac{y_1-5}{2})$

Comparing respective elements

$\frac{x_1+3}{2} = -5\\x_1+3 = -5 * 2\\x_1+ 3 = -10\\x_1 = -10-3\\x_1 = -13\\AND\\\frac{y_1-5}{2} = -9\\y_1-5 = -9 * 2\\y_1-5 = -18\\y_1 = -18+5\\y_1 = -13$

Hence,

The coordinates of Point A are (-13,-13)

Keywords: Coordinate geometry, mid-point

Learn more about mid-point at:

#LearnwithBrainly

4 0

4 years ago