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3 years ago

Find the measure of the interior angles.

Mathematics

2 answers:

Mrac [35]3 years ago

7 0

Answer:

x=22

Step-by-step explanation:

4x+2+x+3x+2=180

collect like terms

4x+x+3x=180-(2+2)

8x=180-4

8x=176

make x the subject of the formula

x=176/8

x=22

Reika [66]3 years ago

4 0

Answer:

4x + 2 + x + 3x + 2 = 180 (all angles of a triangle will equal 180 degrees)

Combine like terms:

8x + 4 = 180

-4 -4

8x = 176

Divide by 8 on both sides:

X = 22

So now we find the angles.

4 x 22 + 2 = 90 degrees for 4x + 2

3 x 22 + 2 = 68 degrees for 3x + 2

22 degrees is for X

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0.008 is 1 tenth of what decimal

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0.08, Hope it helped

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3 years ago

Find an input that yields an output of 214. rule: y= -15x+79

Dafna1 [17]

Answer:

The input have to be -9 to get output 214 with the rule y=-15x+79

Step-by-step explanation:

x is the input, y is the output so:

214 = -15x + 79

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3 years ago

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The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main ent

forsale [732]

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

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3 years ago

Each container has a base of 4 1/4 yds by 1 2/3 yds. What is the area covered by all the containers?

svet-max [94.6K]

Answer:

See Explanation

Step-by-step explanation:

Given

Base Dimension

$Length = 4\frac{1}{4}yd$

$Width = 1\frac{2}{3}yd$

Required

The base area of all containers

First, calculate the base area of 1 container.

This is calculated as:

$Area = Length * Width$

$Area = 4\frac{1}{4}yd * 1\frac{2}{3}yd$

Express as improper fraction

$Area = \frac{17}{4}yd * \frac{5}{3}yd$

So, we have:

$Area = \frac{17*5}{4*3}yd^2$

$Area = \frac{85}{12}yd^2$

The number of containers is not given. So, I will use 'n' as the number of containers.

So, we have:

$Total = n * Area$

$Total= n * \frac{85}{12}yd^2$

--------------------------------------------------------------------------------------------

Assume n is 3 (i.e. 3 containers)

The total area is:

$Total= 3 * \frac{85}{12}yd^2$

$Total= \frac{85}{4}yd^2$

$Total= 21\frac{1}{4}yd^2$

--------------------------------------------------------------------------------------------

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3 years ago

Need help l don’t understand

Diano4ka-milaya [45]

Step-by-step explanation:

open brackets and work out

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2 years ago

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