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2 years ago

Please help me with the answer!! There is the picture of the problem^

Mathematics

2 answers:

Greeley [361]2 years ago

6 0

Answer:

A = 84º

B = 74º

C = 22º

Step-by-step explanation:

Since all the three angles of a triangle have to add up to be 180º, one can do...

A + B + C = 180º

So,

(4x+12) + (3x+20) + (x+4) = 180º

8x + 36 = 180º

8x = 144

x = 18

Then you just substitute x in each of the angles

A = 4(18) + 12 = 84º

B = 3(18) + 20 = 74º

C = (18) + 4 = 22º

***Math Check: 84 + 74 + 22 = 180º

inessss [21]2 years ago

4 0

Answer:

X=18

Step-by-step explanation:

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Imagine a new pasture with grass growing on it. Every day after the seeds have germinated, the number of blades of grass in the

Arisa [49]

Answer:

It took 17 days for the pasture to be one-third covered in grass

Step-by-step explanation:

* Lets explain how to solve the problem

- The number of blades of grass is triple every day

- Consider that there are x blades in the first day

∵ The number of blades of grass is triple every day

∴ The next day the number of blades of grass will be 3x

∴ The formula to find the number of blades of grass after d days is

$x(3)^{d}$

- After 18 days, the entire pasture is completely covered in grass

∵ d = 18

∴ The number of blades of grass = $x(3)^{18}$

- We need to know the the number of days that took for the pasture

to be one-third covered in grass

∵ The number of blades of grass for 1/3 covered = $(\frac{1}{3})x(3)^{18}$

∴ $(\frac{1}{3})x(3)^{18}=x(3)^{d}$

- Remember $\frac{1}{3}=3^{-1}$

∴ $3^{-1}x(3)^{18}=x(3)^{d}$

- Remember we add the power of the same bases when we

multiply them

∴ $x(3)^{-1+18}=x(3)^{d}$ ⇒ divide both sides by x

∴ $(3)^{17}=(3)^{d}$

- Remember if the two bases equal in the equation, then their

powers are equal

∴ d = 17

* It took 17 days for the pasture to be one-third covered in grass

4 0

3 years ago

Reduce the fraction 512/128 into the simplest form.

frez [133]

Answer:

Therefore, 512/128 simplified to lowest terms is 4/1.

Step-by-step explanation:

Reduce 512/128 to lowest terms

The simplest form of

512

128

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 512 and 128 is 128

Divide both the numerator and denominator by the GCD

512 ÷ 128

128 ÷ 128

Reduced fraction:

Therefore, 512/128 simplified to lowest terms is 4/1.

4 0

2 years ago

The line through (1,6) and (0,3) passes through every quadrant expect one. Which one?

KATRIN_1 [288]

4 quadrant

plot the graph of the line

6 0

3 years ago

A roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 s

belka [17]

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

= 21 + 3

= 24

Now, the required equation is

$4s=24$

Therefore, the required equation is $4s=24$ .

Divide both sides by 4.

$s=\dfrac{24}{4}$

$s=6$

Therefore, the number of seats in each car is 6.

6 0

3 years ago

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3 years ago