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Sidana [21]
3 years ago
13

When QS=6x and CS=5x-8, what is AB?

Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

AB = x+ 8

Step-by-step explanation:

Given : QS=6x and CS=5x-8

From the given figure,

QS = QC + CS

We are given with  QS  and CS

Replace it the above equation

6x = QC + 5x -8

Solve for QC

Subtract 5x on both sides

x = QC + -8

Add 8 on both sodes

QC= x + 8

QABC is a rectangle

QC = AB

So AB = x+ 8


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What is the slope of the line perpendicular to the line with equation 4x-5y+13=0
motikmotik

Answer:

m = - 5/4

Step-by-step explanation:

If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1

We can write the equation

4*x - 5*y + 13  = 0

as:      5*y  =  4*x  + 13      or    

y  = (4/5)*x  + 13        (1)

Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this  the slope of a perpendicular line is

-5/4

4 0
3 years ago
To paint his room ted prepared 2 gallons of a paint mixture at a ratio of 3:1 white to blue. If he later decide to dilute the co
earnstyle [38]

Answer:

White = 1.67 gallons

Blue = 0.33 gallons

Step-by-step explanation:

White : blue = 3 : 1

Total ratio = 3 + 1

= 4

Gallons = 2

White = 3 /4 × 2

= 6 /4

= 3/2 gallons

Blue = 1 / 4 × 2

= 2/4

= 1/2

If he later decide to dilute the color to a ratio of 5:1

Total ratio = 5 + 1

= 6

Total gallons = 2

White = 5 / 6 × 2

= 10/6

= 5/3 gallons

Or

= 1.67 gallons

Blue = 1 / 6 × 2

= 2 / 6

= 1/3 gallons

Or

= 0.33 gallons

4 0
2 years ago
Mike has a collection of 16 antique tin toys, including 2 airplanes. If Mike randomly selects a toy, what is the probability it
myrzilka [38]

Answer:

C. 1/8

Step-by-step explanation:

This is because the number two goes into sixteen eight times. This is the simplest form of the fraction.

6 0
3 years ago
Given deductions for this week: federal tax $61.34, FICA $52.05, and state $7.92 what is the annual federal tax deduction?
stealth61 [152]

Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.

Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:

The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.

  • $ 61.34 x 52 = X
  • $ 3,189.68 = X

Therefore, the annual Federal Tax deduction is $ 3,189.68.

Learn more in brainly.com/question/25225323

8 0
2 years ago
A bank advertises an annual yield of 5.25% on a 7 year CD (certificate of deposit) . If the CD's original amount was $3,000, how
Rufina [12.5K]
Idk i need the points
7 0
3 years ago
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