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4 years ago

How do I answer this?

Mathematics

1 answer:

sveticcg [70]4 years ago

8 0

Look at what a pair of alternate inteeior angles is and then do the same on the extior point of view

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Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of

Lubov Fominskaja [6]

length = 8ft
height = 4 in
width = w ft --> u looking for this

convert in to ft for the height:

4 in (1 ft / 12 in) = 1/3 ft

You know that:
1 cubic yard = $ 98
? cubic yard = $58.07

Solve for ? cubic yard:
? cubic yard = 58.07/98 = 0.592551

convert this in cubic feet:
1 yard = 3 feet
0.59255 cubic yard (27 cubic ft/1 cubic yard) = 15.99887755 cubic ft

Now solve for the width:
length x width x height = ? cubic ft.
width = ? cubic ft / (length x height) =15.99887755 cubic ft/[(8ft)(1/3 ft )] = 5.999579082 ft

approx 6 ft

4 0

3 years ago

Complete the paragraph proof. We are given that ∠B ≅ ∠C. Assume segment AB is not congruent to . If AB > AC, then m∠C > m∠

Lorico [155]

Given that ∠B ≅ ∠C.

to prove that the sides AB = AC

This can be done by the method of contradiction.

If possible let AB $\neq$ =AC

Then either AB>AC or AB<AC

Case i: If AB>AC, then by triangle axiom, Angle C > angle B.

But since angle C = angle B, we get AB cannot be greater than AC

Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.

But since angle C = angle B, we get AB cannot be less than AC

Conclusion:

Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC

Hence if angle B = angle C it follows that

AB = AC, and AB ≅ AC.

6 0

3 years ago

Read 2 more answers

There are 88 students in 2 buses which of the following expresses the ratio

pav-90 [236]

The answer would be D. 88:2
hope this hells!!

3 0

3 years ago

Read 2 more answers

For what value of a does (1/9)a+1 =81a+1 272-a?

AlexFokin [52]

Answer:

-4

Step-by-step explanation:

$\left( \dfrac{1}{9}\right)^{a+1}= 81^{a+1}\cdot 27^{2-a}\\\\\\(3^{-2})^{a+1}=(3^4)^{a+1}\cdot (3^3)^{2-a} \\\\\\3^{-2a-2}=3^{4a+4}\cdot 3^{6-3a} \\\\\\3^{-2a-2}=3^{a+10} \\\\\\-2a-2=a+10 \\\\\\-3a=12 \\\\\\a=-4$

Hope this helps!

8 0

3 years ago

Which statement is true? Question 1 options: A) – |–13| = 13 B) – |13| = 13 C) |–13| = 13 D) |13| = – 13

ExtremeBDS [4]

Answer:

The answer is C. |-13| = 13

Step-by-step explanation:

The definition of absolute value is:

$\displaystyle \large{ |x| = \begin{cases} x \: \: (x \geqslant 0) \\ - x \: \: (x < 0) \end{cases}}$

To say it simply, any real numbers in absolute sign, when evaluated, they will always be positive.

No matter the positive real numbers or negative real numbers - if these numbers are in absolute sign, they will be evaluated to positive.

Examples

$\displaystyle \large{ |2| = 2} \\ \displaystyle \large{ | - 2| = 2} \\ \displaystyle \large{ | - 8| = 8}$

But if the negative is not inside the absolute sign.

Examples II

$\displaystyle \large{ - |2| = - 2} \\ \displaystyle \large{ - | - 2| = - 2} \\ \displaystyle \large{ - | - 8| = - 8}$

First, we evalute the absolute value first. We know thay any real numbers in absolute sign will become positive. Next, after evaluating the absolute value, we simply add the negative symbol beside the positive number.

Simplified Definition

This one is to make it simple to remember.

$\displaystyle \large{ |a| = a} \\ \displaystyle \large{ | - a| = a} \\ \displaystyle \large{ - |a| = - a} \\ \displaystyle \large{ - | - a| = - a}$

After reading the explanation, see the choices and tell if they are true or not.

The A choice is wrong as we know that -|-13| is -13.

The B choice is wrong, the reason is same as the A choice.

The C choice is correct! Any real numbers in absolute sign are always positive.

The D choice is wrong because absolute-value numbers cannot be negative, refer to the C choice's reason.

Let me know if you have any questions!

3 0

3 years ago