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2 years ago

Find the value of x is this problem.

Mathematics

1 answer:

DedPeter [7]2 years ago

4 0

Notice the picture below

recall the "inscribed angle theorem"

now... notice your picture, "x" is just the intercepted arc

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In the figure below, AMNO

NeX [460]

Given:

$\Delta MNO\cong \Delta PQR$

To find:

The length of QR.

Solution:

We have,

$\Delta MNO\cong \Delta PQR$

Then, $MN=PQ$ (CPCTC)

$10=4x-2$

$10+2=4x$

$12=4x$

Divide both sides by 4.

$\dfrac{12}{4}=x$

$3=x$

Similarity,

$MO=PR$ (CPCTC)

$2y+3=21$

$2y=21-3$

$2y=18$

Divide both sides by 2.

$y=9$

Now,

$x+y=3+9$

$x+y=12$

Therefore, the correct option is d.

4 0

3 years ago

If f(x)=7x-7 what is f(8)+f(4)

NARA [144]

Given Function is

f ( x ) = 7x - 7 ------- eqn ( 1 )

Now , put the value of x = 8 in eqn ( 1 )

f ( 8 ) = 7 ( 8 ) - 7
f ( 8 ) = 56 - 7
f ( 8 ) = 49 ------- eqn ( 2 )

Now , put the value of x = 4 in eqn ( 1 )

f ( 4 ) = 7 ( 4 ) - 7
f ( 4 ) = 28 - 7
f ( 4 ) = 21 ------- eqn ( 3 )

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From eqn ( 2 ) nd eqn ( 3 ) we get,

f ( 8 ) + f ( 4 )
49 + 21
70

Hope Helps! :)

7 0

2 years ago

Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation y=3.5x

dangina [55]

Y=3.5x+4
a) 5=3.5x+4, 3.5x=1, x=1/3.5=2/7
b) y=3.5*10+4=35+4=39

5 0

3 years ago

3 Find the slope and y-intercept from the following graph of a linear equation.

morpeh [17]

Answer:

A. Slope = 4 and y-intercept = 3

5 0

2 years ago

A painter earns $15 per hour.What is the minimum number of hours he must work to earn at least $200?

umka21 [38]

Let's represent h with the number of hours:

15h ≥ 200

h ≥ 200/15

h ≥ 40/3

h ≥ 13 1/3

He has to work at least 13 1/3 hours.

4 0

3 years ago