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velikii [3]
3 years ago
11

What is the value of x? enter your answer into the box.

Mathematics
1 answer:
poizon [28]3 years ago
6 0

Answer:

x = 27

Step-by-step explanation:

ΔBRD and ΔQCD are similar, hence the ratios of corresponding sides are equal, that is

\frac{BD}{QD} = \frac{RD}{CD}

note that BD = 26 + 39 = 65

substitute values into the ratio equation

\frac{65}{39} = \frac{x+18}{x} ( cross- multiply )

65x = 39(x + 18)

65x = 39x + 702 ( subtract 39x from both sides )

26x = 702 ( divide both sides by 26 )

x = 27


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Karl uses 8 whole square tiles and 8 half square tiles to make a mosaic. What is the area of his mosaic?​
trapecia [35]

Answer:

48

Step-by-step explanation:

8 squares=32

8 half squares=16

32+16=48

There are 4 sides to a 8 whole squares 8*4=32

There a 2 sides to 8 half squares 8*2=16

8 0
3 years ago
6-8x=7x-10x-24 solve for x
lana66690 [7]

Answer:

x = 6

Step-by-step explanation:

Let's solve your equation step-by-step.

6−8x=7x−10x−24

Step 1: Simplify both sides of the equation.

6−8x=7x−10x−24

6+−8x=7x+−10x+−24

−8x+6=(7x+−10x)+(−24)(Combine Like Terms)

−8x+6=−3x+−24

−8x+6=−3x−24

Step 2: Add 3x to both sides.

−8x+6+3x=−3x−24+3x

−5x+6=−24

Step 3: Subtract 6 from both sides.

−5x+6−6=−24−6

−5x=−30

Step 4: Divide both sides by -5.

−5x/-5 = -30 /-5

x=6

4 0
3 years ago
Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes eight hours. They wor
borishaifa [10]

Answer:

10 hours to do it

Step-by-step explanation:

8-6= 2

8+2=10

5 0
3 years ago
If f(x)=8-10x and g(x)=5x+4 what is the value of (fg)(-2)?
Shalnov [3]
First, calculate f(g(x))==> you plug (5x+4) in the value of x in f(x)

==>f(g(x))= 8-[10(5x+4)===>8-50x-40===>f(g(x))= -50x  + 32

& f(g(-2))= -100+32 =68.

There is a mistake in your answers, it should be 68 & not 78
6 0
3 years ago
What is the number in Row 1?
artcher [175]

Answer:

3

Step-by-step explanation:

The diagonal line on the left decrements first by 13, then 11, then 9, then 7, which means for row 1 it decrements by 5. 8-5=3. The number is also 3 when you look at the diagonal line on the right. It starts on the bottom as decrements of 15, then 13, then 11, then 9, and finally 7. 10-7=3.

5 0
3 years ago
Read 2 more answers
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