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3 years ago

Find angle x and y. Please show step by step process.

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

Answer:

x = 60, y = 25

Step-by-step explanation:

Δ ABC has 3 congruent sides and is equiangular, thus

the 3 angles are congruent, all 60°

x = 60

∠ ABC and ∠ CBD are adjacent and supplementary, sum to 180° , then

∠ CBD = 180° - 60° = 120°, so

y = 180 - (120 + 35) = 180 - 155 ← sum of angles in triangle

y = 25

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How do u compare rate of change and slope help plz

antoniya [11.8K]

Step-by-step explanation:

The slope is described by the the initial and final value of one quantity over the difference between the initial and final of the other

Rate: for points on a Cartesian plane,(x1, y1) and (x2, y2)

the slope, m= (y2 - y1)/(x2 - x1)

The rate of change on the other hand is mostly refers to how much a quantity is changing with time i.e the rate of change of y from y1 to y2 can be expressed as

rate = (y2 - y1)/(t2 - t1)...where t1 and t2 are the various time in y1 and y2 respectively...

4 0

3 years ago

Samantha has a rectangular shaped fish tank in her room. The tank has a height of 2.6 ft, a width of 2.1 ft, and a length of 3.9

andrezito [222]

Answer: the BEST approximation of the amount of water her fish tank can hold is 21ft^3

Step-by-step explanation:

The shape of Samantha's fish tank is rectangular. The volume of the rectangular fish tank would be expressed as LWH

Where

L represents length of the tank

W represents the width of the tank.

H represents the height of the tank.

The tank has a height of 2.6 ft, a width of 2.1 ft, and a length of 3.9 ft.

This means that the volume of the fish tank would be

Volume = 2.6 × 2.1 × 3.9

= 21.294 ft^3

7 0

3 years ago

What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 an

fgiga [73]

The steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.

Use V = Bh to find the volume of the prism.

Volume of the prism, V = (228)(6) = 1,368 feet cubed.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a height, base, and width. The volume of the rectangular prism can be found by using the following steps:

Find the base area of the rectangular prism using the formula, A = bh, where b is the base length and h is the height of the base.
Then, find the Volume using the formula, V = Bh, where B is the base area and h is the height of the prism.

Parameters are:

Length of prism = 9 and one-half feet,

Width of prism = 24 feet,

Height of prism = 6 feet

Given the dimensions of the rectangular prism above, do the following:

Find the area of the base of the rectangular prism:

Area of base = (9 1/2)(24) = 228 cm²

Find the Volume of the prism using V = Bh :

Volume of the prism = (228)(6) = 1,368 feet cubed.

Therefore, the steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.
Use V = Bh to find the volume of the prism.
Volume of the prism, V = (228)(6) = 1,368 feet cubed.

Learn more about volume of the rectangular prism on:

brainly.com/question/12917973

#SPJ1

3 0

2 years ago

Justine charges $25 to wash a dog. She washed 5 dogs on Saturday and then some more on Sunday. She made $325 for the weekend. Ho

Marrrta [24]

Answer

• A. Equation: 25(5 + x) = 325

• B. Answer: 8 dogs

Explanation

Given

• Charge to wash a dog: $25.

• She washed 5 dogs on Saturday and then some more on Sunday.

• She made $325 for the weekend.

Procedure

She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).

Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:

$25(5+x)=325$

Then, we have to solve for x to know how many dogs did she wash on Sunday.

0. Multiplying the parenthesis

$125+25x=325$

<em>2. Subtracting 125 from both sides of the equation</em>

$125-125+25x=325-125$ $25x=200$

<em>3. Dividing both sides of the equation against 25</em>

$\frac{25x}{25}=\frac{200}{25}$ $x=8$

8 0

1 year ago

Which graph correctly solves the system of equations below? <br> y=-x^2+1 <br> y=x^2-4

KIM [24]

Red line shows
y=x^2-4 , cause it's going through point (0,-4)

So blue line shows
y= -x^2+1 Point (1,0) belong to it , moreover x factor is negative , so the arms of parabola will go down

Have nice evenig :)
Greetings From Poland.

5 0

3 years ago