What is the length of side PQ in this figure?
5
P
R
6
3
O A. 4
OB. 14
O C. 52
OD. 161
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Answer:

The value of x is 4, and the measure of the four angles are 100°, 80°, 100°, 80°.

Step-by-step explanation:

There is a rule that states the following: when two lines intersect, the verticle/opposite angles formed will have the same degree measure. Using this rule, we can infer that [tex]30x-20=10x+60[/tex]. To solve for x, isolate the variable all on one side of the equation. [tex]30x-10x = 60 + 20[/tex] ⇒ [tex]20x = 80[/tex] ⇒ [tex]x=4[/tex]. Since we now know the value of x, you can use that to figure out a pair of verticle angles, apply the value of x to any equation and you'll get that two of the four angles are all 100°. Since the rotation of a full circle is 360°, you can get that the sum of the remaining two angles is 360° - 100° * 2 = 360° - 200° = 160°. Because we know the remaining pair of verticle angles are equal, we can get that each of the remaining angles is equal to [tex]\frac{160}{2}[/tex] or 80°, so the measure of all four angles are 100°, 80°, 100°, 80°.

Answer:

im lost

Step-by-step explanation:

Answer:

i believe it would be 8

Step-by-step explanation:

hope this helps :)

Answer:

7 26/15

Step-by-step explanation:

all you have to do is add 15 to the 11.

Answer:

down below

Step-by-step explanation:

Since GA is the median of triangle GHI, IA and AH are equal sides. So, AH = 12.7 and IH = 12.7+12.7 = 25.4

Answer:

the answer is 16

Step-by-step explanation:

So

Total students

Answer:

(3, 6)

Step-by-step explanation:

(x1, y1) and (x2, y2)

x2 - x1, y2 - y1

(x*, x*)

(2, 1) and (5, 7)

5 - 2, 7 - 1

(3, 6)

Answer:

Yes that is Correct.

Step-by-step explanation:

If all three pairs of corresponding sides are congruent, the triangles are congruent.

Answer:

Yes

Step-by-step explanation:

Your answer is correct :) good job and keep it up!

Answer:

1 inch = 3 feet

Step-by-step explanation:

if 6 feet is real, and 2 feet is on the drawing, then you would convert it to 1 inch = 3 feet

Answer:

the first triangle is 10

the second triangle is 8

Step-by-step explanation:

1. the formula for this is a²+b²=c²

c is the missing side

add in the numbers and you get 8²+6²=c²

8² is 64 and 6² is 36. 64+36 = 100

then find the square root of 100, which is 10

2. the formula for this is c²-b²=a²

17² - 15² = a²

289-225 = 64

the square root of 64 is 8

Answer:

Step-by-step explanation:

Answer:

A linear equation in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, we know that the rate of change (the slope) is -5

Then we just replace a by -5

y = -5*x + b

Now we also know that this line passes through a point, and the point is (3, 0)

This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.

Replacing these values in our equation we get:

0 = -5*3 + b

0 = -15 + b

15 = b

Now we know the value of b, so we can replace it in the line equation to get:

y = -5*a + 15

Which is the complete equation of the line.

Answer:

The last one

Step-by-step explanation:

For is a prepostion. One way to identify prepostions is to use the squirriel trick. Think of a word and then use this sentence starter. The squirrel is ___ the tree. In this case, for fits with it. Another prepostion is in or of. I hope this helps.

Answer:

the answer is D

Step-by-step explanation:

For one main reason, the great Barrier reef attracts thousands of visitors

Answer:x+5/3

Step-by-step explanation:

Answer:

C = 22cm

Step-by-step explanation:

If the radius equals to 11, then the diameter is 22 since the diameter is double of radius. They told us to use π, so the answer is 22π.

Answer: 112

Step-by-step explanation:

educated guess

Answer:

20

Step-by-step explanation:

3.33*6= 19.98

Answer:

i can see the question in ascending order

Answer:

B. 6 cm

Step-by-step explanation:

Answer:

3 magazines

Step-by-step explanation:

We will use ratios for this equation:

[tex]\frac{6}{18} =\frac{x}{9} \\\\18x=54\\x=3[/tex]

The number magazines you can buy with $9.00 is 3.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, at Nivea's Newsstand, 6 magazines cost $18.00.

Cost of 1 magazine is 18/6

=$3

Number of magazine with $9 is 9/3

= 3

Therefore, the number magazines you can buy with $9.00 is 3.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer: 61% or exactly 60.9%

Step-by-step explanation:

if 34 are lifting weights then 53 (87-34) are not lifting weights and the percentage of 53/87 is 61%

Answer:

hope this helps .keep on learning

Answer:

x = 23

Step-by-step explanation:

surface area of a cube = 6s²

Side length, s = x - 5

Surface area of the cube = 1944 units²

What is the value of x?

surface area of a cube = 6s²

1944 = 6(x - 5)²

1944/6 = (x - 5)²

324 = (x - 5)²

324 = x² - 10x + 25

x² - 10x + 25 - 324 = 0

x² - 10x - 299 = 0

Solve quadratic equation using factorization

(x + 13) (x - 23) = 0

x + 13 = 0 or x - 23 = 0

x = -13 or x = 23

The side length can not be negative

Therefore, x = 23

Answer:

137.6 un^2

Step-by-step explanation:

A = b * h

A = 16 * 8.6

A = 137.6

Hope this helps :)

Answer:

Area = 137.6 units

Step-by-step explanation:

The equation for the area of a parallelogram is A = bh, where b = the base and h = the height. On this parallelogram, the base is 16 and the height is 8.6. Their product is 137.6.

Answer:

Your answer is 40√3.

Given:

The two triangles are similar by SSS.

To find:

The value of x.

Solution:

If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.

It is given that [tex]\Delta ABC\sim \Delta DE F[/tex]. So,

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

[tex]\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}[/tex]

[tex]\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]

[tex]\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]

On cross multiplication, we get

[tex]3(x+1)=2(3x-3)[/tex]

[tex]3x+3=6x-6[/tex]

[tex]3x-6x=-3-6[/tex]

[tex]-3x=-9[/tex]

Divide both sides by -3.

[tex]x=3[/tex]

Therefore, the value of x is 3.