Find X, and the two angle measures.

Find X, And The Two Angle Measures.

Answers

Answer 1

Answer:

x = -4

m<LMP = 77°

m<NMP = 103°

Step-by-step explanation:

Straight angles by definition have a total measure of 180°.

This means that m<LMP and m<NMP are 180° together.

Therefore m<LMP + m<NMP = 180°.

[substitution property]

(-16x + 13)° + (-20x + 23)° = 180°

[associative property of addition]

(-36x + 36)° = 180°

-36x + 36 = 180

–36 –36

-36x = 144

÷-36 ÷-36

x = -4

_________________

Since m<LMP = (-16x + 13)°.

Using substitution with x = -4:

m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.

Since m<NMP = (-20x + 23)°.

Using substitution with x = -4:

m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.

This is true because 77° + 103° = 180°.


Related Questions

Scott measured a kitchen and made a scale drawing. He used the scale 1 inch : 5 feet. The actual
length of a countertop in the kitchen is 10 feet. How long is the counter in the drawing?

Answers

Answer:

2 inches in the drawing

Step-by-step explanation:

Because if 5 feet equals 1 inch and 5 times 2 equals 10 feet (so now we do the same to the other side) 1 times 2 and that equals to 2 inches.

...5, ___, 29, .....

The missing term is ___

Answers

Answer:

17

Step-by-step explanation:

I think the answer is 17 if helpful please mark me brainliest!

Answer:

12

Step-by-step explanation:

see if you do the math you will find out that its 12         17+12=29

simplify: ^6sqrtx times ^4sqrty^3​

Answers

Answer:

i show the answer in picture

Answer: C

Step-by-step explanation:

heyy! i’ll give brainliest please help.

Answers

The answer is a for this question

May someone help me I kinda stuck and I would love some help it 6th-grade math!

Answers

Answer:

72

Step-by-step explanation:

first, you cut the top of the T and you multiply 12 x 3 which is 36. Then with the 4 cm on both sides, I'm assuming the middle part is also 4 (since the other side is 12) and then you multiply 9 x 4 which is also 36, then you add and get 72!

B) Una empresa A gana S/ 42 758,35 en un ano. Si la empresa B gastara S/ 8774,55; tendria tantas ganancias como la primera empresa. Cual es la ganancia total de la empresa B?

Answers

Answer:

Las ganancias totales de la empresa B en dicho año fueron de $51.532,90.

Step-by-step explanation:

Dado que una empresa A gana $42.758,35 en un año, y si la empresa B gastara $8.774,55 tendría tantas ganancias como la primera empresa, para determinar cuál es la ganancia total de la empresa B se debe realizar el siguiente calculo:

Ganancias B - 8.774,55 = 42.758,35

Ganancias B = 42.758,35 + 8.774,55

Ganancias B = 51.532,90

Por lo tanto, las ganancias totales de la empresa B en dicho año fueron de $51.532,90.

What is the area of the shaded region?
12"
7"
15"
Area: _____
square inches

Answers

Answer:

first find the area of the triangle by the formula of 1/2 b. h ( . means multiply) then find the area of rectangle by the formula of (length . width) then. the area of rectangle -the area of triangle

If a rope of length 40m is cut into pieces of 10/3m then how many pieces are there

Answers

Answer:

12 pieces

Step-by-step explanation:

=> 40 / [tex]\frac{10}{3}[/tex]

=> 40 * [tex]\frac{3}{10}[/tex]

=> 120 / 10

=> 12

Therefore, 12 pieces

Thenks and mark me brainliest :)

Find the inverse function.
f(x) = 3x – 1
f-1(x) = x + [?]

Answers

Answer:

f-1(x)=x+1/3 is yr answer.

stay safe healthy and happy .

vectors
p=(4,3) and q=(-2,7), find 4p -2q​

Answers

Answer:

(20, -2)

Step-by-step explanation:

Given the coordinate vectors p=(4,3) and q=(-2,7),

4p - 2q  = 4(4, 3)- 2(-2, 7)

4p - 2q  = (16, 12) - (-4, 14)

4p - 2q  = (16+4, 12-14)

4p - 2q  =(20, -2)

hence the required vector is (20, -2)

From the city A to C, there are two options: through city B or not. From A to B there are 3 different routes, from B to C there are 4 different routes, and there are 2 ways from A to C, directly. How many possible ways can a person choose,from A to C ?​

Answers

Answer:

36

Step-by-step explanation:

You add all of them together which is 9

Then you take the combination of A to C

Which is 9C2

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.The company wants to use the package that has the least amount of wasted space. The company should choose

Answers

Answer:

The Company should choose to get the cylinder packages  ( V = 42.39 in³ )

Step-by-step explanation:

The volume of a cylinder of radius of circumference 1.5 in  and h = 1.5*4

h  =  6 in   is:

V(c)  =  π *r²*h   =  π * (1.5)²*6   =   π *2.25*6

V(c)  = 42.39 in³

Now V(p) =  Square of the base ( of side 3 in) * h

h  =  6 in

V(p)  =  (3)²*6

V(p)  =  54 in³

If we compare these two volumes we see that the volume of the cylinder is small than that of the square prism

What is a 65% increase of 32

Answers

Answer:22.75 or

Step-by-step explanation: If you are looking for the actual increase, it is 65/100 times 32 which is 22 and 3/4 which is 22.75. But if you are looking for the total, it is 22.75 plus 32, it is 54.75.

22.75. hope this helped

PLEASE HELP WILL GIVE BRAINLEST DUE IN 30 MINUTES

Answers

Answer:

12. (0,-4)

13. 3 blocks apart

14. Quadrant III (-x,-y) Hospital or Police Station (There are 2?)

15 9 to the right, 1 down.

Answer: (0,-4)

3 blocks

hospital

9 blocks

Step-by-step explanation:

help me pleaseeeee. what is this?

Answers

Answer:

104

Step-by-step explanation:

all the angles of a triangle add up to 180, so set up an equation like this:

x+35+41=180

now solve for x

x=180-35-41

x=104

104 degrees a triangle = 180 degrees 104 + 41 + 35 = 180 degrees

-4x > 500...........................................

Answers

-4x > 500
Divide -4 on both sides.

(Now this is very important, whenever you divide OR multiply an equality by a NEGATIVE number the sign will ALWAYS flip.)

x < -125


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plsssssss helpppppppp meeeeee!
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Answers

Answer:

X = 99

Step-by-step explanation:

the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer

Answers

Tvyctcybininuthjjgghkkjhgccxfhkkv huh huh

The average of Blanca's first three test scores was 90. The average of her next two test scores was 95. What was the average of Blanca's first five test scores?

Answers

Answer:

92.5

Step-by-step explanation:

you would add 90+95 which is 185 then divide that by 2 to get ur answer

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Answers

Answer:

d

Step-by-step explanation:

Please help! DO NOT SEND LINK!

Answers

Answer:

Mizuki here to answer!

The correct answer would be 15 inches!

Step-by-step explanation:

7200 ÷ (24 x 20) = 15

Answer:

Hello! answer: 15

Step-by-step explanation:

The volume is 7200 volume is found by doing length × width × height therefore the height is 15 because... 24 × 20 × 15 = 7200 HOPE THAT HELPS!

Which equation gives the volume of the sphere? V = two-thirds (27 pi) V = four-thirds (27) V = two-thirds (27) V = four-third (27 pi)

Answers

Answer:

V = four-third (27 pi)

Step-by-step explanation:

Complete question;

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.

A sphere with height h and radius r. A cylinder with height h and radius r.

Which equation gives the volume of the sphere?

V = two-thirds (27 pi)

V = four-thirds (27)

V = two-thirds (27)

V = four-third (27 pi)

Volume of the cylinder V = πr²h

If Volume is 27pi feet cubed, hence;

27pi = πr²h

27 = r²h

Since r = h

27 = r³

r = ∛27

r = 3

Since the volume of the sphe4/3πr³re = 4/3πr³

Volume of sphere = 4/3π(27)

Volume of sphere = 4/3(27π)

Hence the correct option is V = four-third (27 pi)

What is the surface area of the rectangular prism shown by net?

Answers

The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.

Find the slope of a line that passes through the points (7, -2) and (-4, 5).

Answers

Answer:

-11/7

Step-by-step explanation:

y1-y2/x1-x2

7-(-4)/-2-5

11/-7

Answer:

-7/11

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-2) / -4 - 7

= 7 / -11

= -7/11

How does the terrain vary from one region to region?

Answers

Answer:

to Region? Climate varies from region to region. This variation is driven by the uneven distribution of solar heating, the individual responses of the atmosphere, oceans and land surface, the interactions be- tween these, and the physical characteristics of the regions.

Step-by-step explanation:

hope it helps C:

#carryonlearning

A rainwater collection tank is shaped like a cylinder with a diameter of 4 ft and a height of 6 ft. What is its volume?

Answers

I’m pretty sure the answer is 75.4 ft cubed.

An angle has a measure of 150° and a terminal side that intercepts the unit circle at (x,y). What are the values of x and y?

Answers

Answer:

x = -√3 /2

y = ½

Step-by-step explanation:

x = cos 150°= -√3 /2

y = sin 150° = ½

a calculator is listed for $110 and is on clearence for 35% off. sales tax is 7%. what is the cost of the calculator

Answers

Answer:

$76.51

Step-by-step explanation:

The price after discounting is (1.00 - .35)($110), or 0.65($110) = $71.50.

The price after 7% sales tax has been added in is

(1.00 + 0.07)($71.50) = $76.51.

Answer:

76.50

Step-by-step explanation:

If the pattern continues, what would be the seventh number in the pattern?

98, 91, 85, 80


A. 76

B. 73

C. 71

D. 70

Answers

The answer would be 76
Answer: The answer is A. 76

Help me plz thank you

Answers

Answer:C

Step-by-step explanation: 100 x 23/100=23

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