9 + 6r - 4 simplify the algebraic expression

Given parallelogram ABCD, find the lengths and angles required.

irakobra [83]

Answer:

x = 3, line AB = 17 , and line CD = 17

y = 10, angle A = 70, and angle D = 70

Step-by-step explanation:

well since their the same length you can put them equal to each otheir

5x + 2 = 8x - 7

subtract 5x by both sides to get --> 2 = 3x -7

add 7 to both sides and get --> 9 = 3x

divide 3 by both sides to get x = 3

now plug it back in each equation we started with and get you answers

Same steps for y but different equations

5 0

3 years ago

Read 2 more answers

Fraction greater than 1

Natali [406]

Answer:

Step-by-step explanation:

Any fraction where the numerator is bigger than the denominator is a fraction greater than 1. EX. 3/2

5 0

3 years ago

You make $25000 a year, and you get a 10% raise. Your new salary is $____ The next year you get a 10% cut. Your new salary is $_

gtnhenbr [62]

Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form): $\$25000 \times 0.1=\$2500$ . $2500 is the 10% raise.

Next, to find your first new salary, add $25000 and $2500 together: $\$25000+\$2500=\$27500$ . $27500 is your new salary after the 10% raise.

Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000. $\$27500 \times 0.1=\$2750$ . $2750 is your 10% cut.

Next, since this is a cut, subtract $2750 from $27500. $\$27500-\$2750=\$24750$ . $24750 is your new salary after the 10% cut.

Next, to find the percentage change, firstly divide $24750 by $25000. $\frac{\$24750}{\$25000}=0.99\ \textsf{or}\ 99\%$ . Now this shows that your current salary is 99% of what you used to make. It is not how much less you make. To find how much less it is, subtract 99% from 100%: $100\%-99\%=1\%$ . Your current salary is 1% less than what you used to make.

6 0

3 years ago

the diameter D of a sphere is 13m calculate the sphere volume V use the value 3.14 round your answer to the nearest tenth

fgiga [73]

Answer:

1149.8 m³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³ ( r is the radius )

Here diameter = 13, thus radius = 13 ÷ 2 = 6.5

V = $\frac{4}{3}$ × 3.14 × 6.5³

= $\frac{4}{3}$ × 3.14 × 274.625

= $\frac{4(3.14)(274.625)}{3}$ ≈ 1149.8 m³ ( to the nearest tenth )

5 0

2 years ago

2x – 1 = y + 4 3y +1 = 3х – 2

ehidna [41]

Answer:x=4 y=3

Step-by-step explanation:

Let's solve your system by substitution.

2x−1=y+4;3y+1=3x−2

Step: Solve2x−1=y+4for y:

2x−1=y+4

2x−1+−y=y+4+−y(Add -y to both sides)

2x−y−1=4

2x−y−1+−2x=4+−2x(Add -2x to both sides)

−y−1=−2x+4

−y−1+1=−2x+4+1(Add 1 to both sides)

−y=−2x+5

−y

−1

=

−2x+5

−1

(Divide both sides by -1)

y=2x−5

Step: Substitute2x−5foryin3y+1=3x−2:

3y+1=3x−2

3(2x−5)+1=3x−2

6x−14=3x−2(Simplify both sides of the equation)

6x−14+−3x=3x−2+−3x(Add -3x to both sides)

3x−14=−2

3x−14+14=−2+14(Add 14 to both sides)

3x=12

3x

3

=

12

3

(Divide both sides by 3)

x=4

Step: Substitute4forxiny=2x−5:

y=2x−5

y=(2)(4)−5

y=3(Simplify both sides of the equation)

3 0

2 years ago