X Find the length and width of a rectangle whose width is 10 cm shorter
than its length and whose area is 200 cm squared. What is the SUM of
the length and width?

The circle and the lines AC & AB are illustrations of congruent angles

See below for the proof that the angles ∠ACB and ∠MAB are equal

To prove that ∠MAB=∠ACB, we make use of the attached diagram

From the attached diagram, we have:

∠MAB = x°

The angle at between a tangent and a radius or a diameter is a right angle.

This means that:

∠MAB + ∠BAC = 90°

Substitute ∠MAB = x°

x° + ∠BAC = 90°

Subtract x from both sides

∠BAC = 90° - x°

The angle at in a semicircle is a right angle.

This means that:

∠CBA = 90°

The angles in a triangle add up to 180°.

So, we have:

∠BAC + ∠CBA + ∠ACB = 180°

Substitute ∠CBA = 90° and ∠BAC = 90° - x°

90° - x° + 90° + ∠ACB = 180°

Evaluate the like terms

180° - x° + ∠ACB = 180°

Subtract 180° from both sides

- x° + ∠ACB = 0

Add x° to both sides

∠ACB = x°

Recall that:

∠MAB = x°

So, we have:

∠ACB = ∠MAB = x°

Hence, the angles ∠ACB and ∠MAB are equal

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Answer:

a-b

Step-by-step explanation:

The difference will usually be the first term subtracted by the second but it is the space/value between the numbers so technically you could just take the negative from b-a as -(b-a) and get the same value

because your teacher doesn't teach you well??!

hope it helps...!!!

Answer:

4.125

Step-by-step explanation:

33 divided by 8 and you get 4.125

multiply quantity of each and add them together to get total of 540

2s + 5c = 540 or 5c + 2s = 540

The difference in pages is 19 so you would subtract: c-s = 10

answer would be

d: c-s = 10

5c + 2s = 540

Answer:

27 cm²

Step-by-step explanation:

Shaded Area = Area ABCE - Area AED

Answer:

27 sq cm

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of triangle

= 6*6 -1/2(6)(3)

= 36 - 9

= 27 sq cm

Answer:

3 with an arrow pointing to the left

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

divide by 2 first on both sides.

then put paranthesis on both sides and power it to the 2nd.

you get

(x-4)^2=5^2

simplify and you get x-4=25

add 4 on both sides and you get x=29!

Answer:

4/5=.80

4/.80= 5

5*7= 35

You can make 35 granola bars with 4 cups of chocolate chips.

I hope this helps!

The number of batches of granola bars the company make in the day is 22.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Quaker uses 14 of a barrel of chocolate chips to make each batch of their Chewy marshmallow chocolate chip granola bars.

Number of batches = Total barrels of chocolate chips/Number of a barrel of chocolate chips

= 312/14

= 22.28

≈ 22

Therefore, the number of batches of granola bars the company make in the day is 22.

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Answer:

B

Step-by-step explanation:

[tex] \frac{1}{40} + x = \frac{1}{8} [/tex]

[tex]40( \frac{1}{40}) + (40)x = 40( \frac{1}{8} )[/tex]

[tex]1 + 40x = 5 \times 1[/tex]

[tex]1 + 40x = 5[/tex]

[tex]40x = 5 - 1[/tex]

[tex]40x = 4[/tex]

[tex] \frac{40x}{40} = \frac{4}{40} [/tex]

[tex]x = \frac{1}{10} [/tex]

Answer:

1/10

Step-by-step explanation:

Answer:

Options A, B & D

Step-by-step explanation:

[tex]5-2\frac{3}{4} =\frac{20}{4} -\frac{11}{4} =\frac{9}{4} =2\frac{1}{4}[/tex]

Hope tis helps

A root of f(k) is x=k. Option C is correct.The numbers we're multiplying are factors of the product since they're divisible by it.

A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,

The factor of the f(x) is given as;

[tex]\rm (x+k)[/tex]

The factors satisfy the equation as;

[tex]\rm (x+k)=0 \\\\ x=-k[/tex]

Hence one root of f(x) is x = -k, The correct answer is option C.

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Answer:

Option C

Step-by-step explanation:

Answer:

Given :-

To Find :-

Solution :-

Volume = l ×b ×h /3

Volume = 4.5 × 4.5 × 5 cm/3³

Volume = 101.25/3 cm³

Volume = 33.75 cm³

Answer:

Step-by-step explanation:

After reading question we can understand that the all these measurements are of pyramids .

So In the question we are given ,

We know that in pyramid length and width are equal to base of a square . Therefore ,

[tex] \rightarrow \blue{\boxed{ \sf{Volume \: of \: pyramid = \frac{lwh}{3} }}}[/tex]

Where ,

Now , substituting values of l , w and h :

[tex] \longmapsto \: \frac{4.5 \times 4.5 \times 5}{3} [/tex]

Now , by multiplying 4.5 , 4.5 and 5 , We get :

[tex] \longmapsto \: \frac{101.25}{3} [/tex]

Now , by dividing 101.25 by 3 , We get :

[tex] \longmapsto \: \red{\boxed{33.75}}[/tex]

[tex]\dfrac{8^2 \cdot 4^{-3}}{2^4\cdot 8^{-2}}\\\\\\=\dfrac{(2^3)^2\cdot(2^2)^{-3}}{2^4\cdot (2^3)^{-2}}\\\\\\=\dfrac{2^6\cdot2^{-6}}{2^4\cdot 2^{-6}}\\\\\\=\dfrac{2^6}{2^4}\\\\\\=2^{6-4}\\\\\\=2^2\\\\\\=4[/tex]

The circumference of a circle with radius 8 inches is 50.2 inches

The circumference of a circle can be calculated as follows;

circumference of a circle = 2πr

where

Therefore,

circumference of a circle = 2 × 3.14 × 8

circumference of a circle = 16 × 3.14

circumference of a circle = 50.24 inches

circumference of a circle = 50.2 inches

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A discount is the amount of money that is removed from the original price. The original price of the dishwasher is  $438.

A discount is the amount of money that is removed from the original price of a commodity when it is being sold.

We know that the commodity is being sold that a price of $361.35 but the discount is 17.5% and we are to obtain the original price of the commodity.

Let the original price be x

x - 17.5/100x = 361.35

82.5x/100 =  361.35

x =  361.35 * 100/82.5

x =  $438

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Answer:

Percentage of Democratic primary voters

Step-by-step explanation:

Answer: C (the percentage of democratic primary voters)

Step-by-step explanation: took the test on edge

Answer:

43.7683

Step-by-step explanation:

When multiplying by 10s, the decimal point moves. Since it is a fraction, making it lesser than an actual 10, the decimal point moves one space to the left (instead of right)

437.683

Take away 430 because we don't need it for this step

7.683

10% of 7.683 = 0.7683

add back 43

your answer is:

43.7683

hope this helps :)

Answer:

h = 46

Step-by-step explanation:

Have unknowns (h) on one side and knowns on other side.

-18 + h = 28       Add 18 on both side to move it to the right side.

h = 28 + 18

h = 46

Answer:

Step-by-step explanation:

Isolate the term of h from one side of the equation.

First, switch sides.

⇒ h-18=28

Add by 18 from both sides.

⇒ h-18+18=28+18

Solve.

Add the numbers from left to right.

⇒ 28+18=46

⇒ h=46

I hope this helps! Let me know if you have any questions.

Answer:

I hope I help you

have a nice day

Answer:

20 inches longer

Step-by-step explanation:

78-58= 20

The equations y = 3x - 4 and y = 3x + 1 are linear equations

The equations have no solution

The equations are given as:

y = 3x - 4

y = 3x + 1

Next, we plot the graph of the equations y = 3x - 4 and y = 3x + 1

From the graph (see attachment), we can see that the equations do not have a point of intersection

Hence, the equations has no solution

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Answer:

y = 3,224x + 750

Step-by-step explanation:

Assuming the scholarship and grants are applied using the slope intercept form y=mx+b where m is the slope in this case the cost per year attending x the number of years attended and b the y intercept which in this case is the one time fee subtracting 13,774 by 10,550 gives us 3,224.

Since the one time fee is only in place once that would make it the y intercept therefore y=3,224x+750 is the correct answer