A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?

Which statement about the angle measures is true?

sattari [20]

Answer:

Option (4)

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles."

In the triangle ABC,

∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.

m∠ACD = m∠BAC + m∠ABC

95° = m∠BAC + m∠ABC

Therefore, Option (4) will be the correct option.

5 0

3 years ago

Which function below is the inverse of f(x)= 3x+5/7

Ipatiy [6.2K]

Inverse
replace f(x) wih y
solve for x
replace x with f⁻¹(x) and y with x

so

f(x)=3x+5/7
replace
y=3x+5/7
solve for x
minnus 5/7 both sides
y-5/7=3x
divide both sides by 3
$\frac{y- \frac{5}{7} }{3}$ =x
replace with f⁻¹(x)

f⁻¹(x)= $\frac{y- \frac{5}{7} }{3}$

5 0

3 years ago

Read 2 more answers

What is 11 1/2 + 10 11/16=

ahrayia [7]

Hey!

To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.

Original Equation :

$11\frac{1}{2} + 10\frac{11}{16} = ?$

New Equation {Converted Mixed Numbers Into Improper Fractions} :

$\frac{23}{2} + \frac{171}{16} = ?$

Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.

Fraction Conversion :

$\frac{23*8}{2*8} = \frac{184}{16}$

So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.

Old Equation :

$\frac{23}{2} + \frac{171}{16} = ?$

New Equation {Input New Fraction With Common Denominator} :

$\frac{184}{16} +\frac{171}{16} = ?$

Solution {New Equation Solved} :

$\frac{355}{16}$

Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.

New Solution {Converted to a Mixed Number} :

$22\frac{3}{16}$

Since the fraction cannot be simplified anymore, this should be our final answer.

So, this means that the answer to the equation is $22\frac{3}{16}$ .

Hope this helps!

- Lindsey Frazier ♥

5 0

2 years ago

Read 2 more answers

The six-digit number 63X904 is an even multiple of 27. What does the digit X represent?

olga2289 [7]

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

To begin with, let's establish that ( x ) can equal to any number from 0 to 9.

Meaning, that ( x ) is equal to one of the following: 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9.

Now that we know which values ( x ) can equal to, we will simply substitute each of the numbers as potential values of ( x ) into the six-digit number and divide it by 27 to see if it is a multiple of 27.

If X = 0

= 63X904 / 27

= 630904 / 27

= Not a whole number

Therefore, X is not equal to 0.

If X = 1

= 63X904 / 27

= 631904 / 27

= Not a whole number

Therefore, X is not equal to 1.

If X = 2

= 63X904 / 27

= 632904 / 27

= Not a whole number

Therefore, X is not equal to 2.

If X = 3

= 63X904 / 27

= 633904 / 27

= Not a whole number

Therefore, X is not equal to 3.

If X = 4

= 63X904 / 27

= 634904 / 27

= Not a whole number

Therefore, X is not equal to 4.

If X = 5

= 63X904 / 27

= 635904 / 27

= 23552

ANSWER:

Therefore, the answer is:

X = 23, 552

Please mark as brainliest if you found this helpful! :)
Thank you <3

8 0

2 years ago

Joe and Donna are in a pie eating contest. Donna eats 11 pies in 2.5

Anni [7]

We’re is the picture

7 0

2 years ago

Read 2 more answers