Triangle Sum Theorem
Find the value of x and the angle measures.
x+23°
F
x+210
X+61°
N

Answer: n= −3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8(4n+3)=−72

(8)(4n)+(8)(3)=−72(Distribute)

32n+24=−72

Step 2: Subtract 24 from both sides.

32n+24−24=−72−24

32n=−96

Step 3: Divide both sides by 32.

32n/32 = −96/32

n=−3

Answer:

n= -3

Step-by-step explanation:

32n+24=-72

(subtract 24)

32n=-96

(divide by 3)

n=-3

Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.

Answer:

21 glasses can be filled

Answer:

Step-by-step explanation:

a=10

Step-by-step explanation:

The question can be interpreted as

F∝a

If we introduce proportionality constant k, we have

F= k.a

28= k. 7

k= 28/7

k= 4

Then the equation can be written as

F= 4.a

To find, a when F = 40?

F= 4.a

40=4 × a

a= 40/4

a= 10

Answer:

F = 40

Step-by-step explanation:

Given F is directly proportional to a then the equation relating them is

F = ka ← k is the constant of proportion

To find k use the condition F = 28 when a = 7 , then

28 = 7k ( divide both sides by 7 )

4 = k

F = 4a ← equation of proportion

When a = 10, then

F = 4 × 10 = 40

Answer: <B is congruent to <E

Step-by-step explanation:

There is no “angle,angle,angle” theorem when proving triangles are congruent.

There are 5 however that do:

ASA (angle, included side, angle)

SSS (side, side, side)

SAS (side, included angle, side)

AAS (angle,angle, non included side)

HL (hypotenuse,leg)

Answer:

1, t = 40

2, m = 3

3, d = 15

4, g = 62

Step-by-step explanation:

15 = t - 25

+25.     +25

40 = t

M6/6 = 18/6

m = 3

5d/5 = 75/5

d = 15

94 = g + 32

-32.      -32

62 = g

Answer:

what graph ? i do not see one

Step-by-step explanation:

Answer:

24 + 72 = 96

Step-by-step explanation:

20 + 70 = 90

4 + 2 = 6

90 + 6 = 96

You can first add the ones and then add the tens start always from the ones place gradually getting the higher value digit, to make it easier stack them.

   72

   24

+____

    96

Answer:

9.6 x 10

Step-by-step explanation:

24 + 72 = 96

Answer: See explanation

Step-by-step explanation:

Let the coupling that are in the second box be represented by x.

We are informed that a box contains 315 half inch conduit couplings and weighs 119 pounds and that an identical box also contains half-inch conduit couplings and weighs 47 pounds. This can be represented in an equation as:

315/119 = x/47

Cross multiply

119 × x = 315 × 47

x = (315 × 47) / 119

x = 14805/119

x = 124.4

There are about 124 couplings in the box.

Answer:

x = 10

y = [tex]10\sqrt{2}[/tex]

Step-by-step explanation:

Let me know if you want an explanation.

Answer:

26.9 - 56.16a

Step-by-step explanation:

-1.7 + 5.2(5.5 - 10.8a)

use the distributive property

-1.7 + 28.6 - 56.16a

combine like terms

-1.7 + 28.6 = 26.9

26.9 - 56.16a

plz mark as brianliest if correct!!!

========================================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532

Answer:

The answer is 12x+6y-24

Step-by-step explanation:

Answer:

12x + 6y -24

Step-by-step explanation:

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Cacique comes from the Taíno word kassiquan, meaning "to keep house". In 1555 the word entered the English language as "prince". In Taíno culture, the cacique rank was hereditary and sometimes established through democratic means.

hope it helps you,

Mark me as the brainliest....

Follow me!

Answer:

0.0045045045

Step-by-step explanation:

Have a good day I hope this helps! :)

9514 1404 393

Answer:

  A.  One

Step-by-step explanation:

Descarte's rule of signs is used to answer this question. The signs of the coefficients are ...

  + + + -

There is one sign change, hence one positive real root.

Answer:

10% dicount

Step-by-step explanation:

76.50 / 85.00 = .9

The airplane cost 90% of its original value, meaning you have a 10% discount

10% of 85 =  .1 x 85 = 8.50

85.00 - 8.50 = 76.50

Answer:

3.

Step-by-step explanation:

The gradient = (12-6/(10-8)

= 6/2

= 3.

9514 1404 393

Answer:

  9 feet

Step-by-step explanation:

The sine relation applies.

  Sin = Opposite/Hypotenuse

  sin(30°) = height/(18 ft)

  height = (18 ft)sin(30°) = (18 ft)(1/2)

  height = 9 ft

The ladder extends 9 feet up the side of the building.

i don't know what ur say can u be more specif sorry

Answer:

-64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a=9.4cm

b=12.0cm

Step-by-step explanation:

Answer:

equation: x(1.25) + 6.75 = 31.75 refills: 20

Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

Now we solve the equation. First, subtract 6.75 from each side

x(1.25) + 6.25 = 31.75

            -6.25    -6.25

Now we have "x(1.25) = 25" So we have to divide each side by 1.25

x(1.25/1.25) = 25/1.25

                x = 20

Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.

20(1.25) + 6.75 = 31.75

        25 + 6.75 = 31.75

                31.75 = 31.75

I'm not the best at explanations, but I hope this helped! :)