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Galina-37 [17]
3 years ago
5

Vertical line q goes through plane H in the center at point X. Line t comes out of point X. Lines r and s are parallel and are a

t a right angle to line q. Line p goes through lines r and s. Which line is parallel to line r? line p line q line s line t
Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

Option C: Line s

Step-by-step explanation:

Let's refer to plane H as being 2D since we are dealing with lines.

Thus, x-axis would refer to the horizontal axis while y-axis will refer to the vertical axis.

Now, we are told that line q goes through plane H in the center at point X and that Line t is one that comes out from point X.

This means that line q and line t are parallel to each other.

Also, we are told that Lines r and s are parallel and that they're at a right angles to line q.

Since line q and line t are parallel to each other, it means that lines r and s are at right angles to both lines q and t

Thus, it means lines r and s are both perpendicular to lines q and t

Now, we are told that line p goes through r and s.

However, we want to find which line is parallel to line r.

From earlier statement we saw that lines r and s are parallel to each other.

Thus; correct answer is "line s"

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Firdavs [7]

Given:

A figure of a parallelogram.

The vertex angles are (12b+8)^\circ,(5b+2)^\circ,2a^\circ.

To find:

The values of a and b.

Solution:

We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.

(12b+8)^\circ+(5b+2)^\circ=180^\circ       (Supplementary angles)

(17b+10)^\circ=180^\circ

17b+10=180

Subtract 10 from both sides.

17b=180-10

17b=170

Divide both sides by 17.

b=\dfrac{170}{17}

b=10

Now,

(5b+2)^\circ=(5(10)+2)^\circ

(5b+2)^\circ=(50+2)^\circ

(5b+2)^\circ=52^\circ

And,

(5b+2)^\circ+2a^\circ=180^\circ       (Supplementary angles)

52^\circ+2a^\circ=180^\circ

2a^\circ=180^\circ-52^\circ

2a^\circ=128^\circ

Divide both sides by 2.

a^\circ=\dfrac{128^\circ}{2}

a^\circ=64^\circ

a=64

Therefore, the value of a is 64 and the value of b is 10.

5 0
3 years ago
Peggy is thinking of a number such that when twice the number is added to three times one more than the number she gets the same
mars1129 [50]

Answer:

-7

Step-by-step explanation:

Lets assume the number Peggy is thinking of be "x".

Now as given, when twice the number is added to three times one more than the number. We can write it as

∴ 2x+3(x+1)--- Equation 1

Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.

∴ 4(x-1)-- equation 2

Next, we can equate both the equation 1 and 2 as it is given that result is same.

2x+3(x+1)= 4(x-1)

Let´s distribute 3 into (x+1) and 4 into (x-1)

⇒ 2x+3x+3=4x-4

⇒ 5x+3=4x-4

Subtract both side by 4x and 3

∴ x=-7

∴ Peggy was thinking of -7

4 0
3 years ago
18x^2+21x-9 I need to figure out how to work this problem
shtirl [24]
18x^2+21x-9=3(6x^2)+3(7x)-3(3)\\\\=3(6x^2+7x-3)=3(6x^2+9x-2x-3)\\\\=3[3x(2x)+3x(3)-1(2x)-1(3)]\\\\=3[3x(2x+3)-1(2x+3)]\\\\=\boxed{3(2x+3)(3x-1)}
3 0
3 years ago
Read 2 more answers
Read the instructions
nordsb [41]

Answer:

Step-by-step explanation:

\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}

Multiply the equation by 4

4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\

Multiply the equation by 6

6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3              15x - 18y = 12

(II)*5           <u>-15x  + 70y = 40</u>     {Now add}

                          52y = 52

                              y = 52/52

                            y = 1

Substitute y =1 in equation (I)

5x - 6*1 =  4

5x - 6 = 4

      5x = 4 +6

      5x = 10

         x = 10/5

x = 2

7 0
3 years ago
What is the decimal expansion of the following fraction? A OA. 0.5 OB. 0.5 OC. 1.2 OD. 0.12 Reset Subr​
snow_lady [41]

Answer:

A/B O.5 (you put 0.5 as A and B) but 0.5 is the answer.

Step-by-step explanation:

In expanded form of decimal fractions we will learn how to read and write the decimal numbers. ... (i) 100 + 0.5 + 0.06 + 0.008 (ii) 80 + 1 + 0.02 + 0.005.

5 0
2 years ago
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