All categories

2 years ago

I need help thank you! (7x + 14) (15x - 4)

Mathematics

1 answer:

sergey [27]2 years ago

8 0

Answer:

(7x + 14)° = 84°

(15x - 4)° = 146°

Step-by-step explanation:

62° + (7x + 14)° = (15x - 4)°

62° +7x + 14 = 15x - 4

15x - 7x = 62 + 14 + 4

8x = 80

x = 10

Therefore, exterior angle (15x - 4)° = 146°

interior angle (7x + 14)° = 84°

You might be interested in

In the figure, WY¯¯¯¯¯¯¯¯¯WY¯ and XZ¯¯¯¯¯¯¯¯XZ¯ intersect at point VV, the measure of ∠WVZ∠WVZ is (11x−19)°(11x−19)°, and the me

Zepler [3.9K]

Assuming a diagram similar to the one I've attached, ∠YVZ is a vertical angle to ∠WVX, which means they have an equal measure. Additionally, ∠WVZ and ∠WVX form a linear pair, which means they are supplementary (sum to 180°). That means we start out with the equation
$(11x-19)+(8x+28)=180$
We combine our like terms (the x's get combined, then the constants get combined) and have:
$19x+9=180$
Cancel the 9 first by subtraction:
$19x+9-9=180-9 \\ 19x=171$
Cancel the 19 by division:
$\frac{19x}{19}= \frac{171}{19} \\ x=9$
Since we know that our angle we're looking for, ∠YVZ, is the same measure as ∠WVX, we substitute 9 in for x:
8(9)+28=72+28=100°

7 0

2 years ago

I’ll give you brainiest if you answer correctly! I need help please

laila [671]

Answer:

Here is how i figured it out

Step-by-step explanation:

Brainliest pls ?

6 0

2 years ago

Robin's scores: 99, 108, 102, 107, 119 mean = 107; mad = 5.2 evelyn's scores: 125, 137, 138, 145, 145 mean = 138; mad = 5.6 expl

Maksim231197 [3]

Answer: is 5.2

Step-by-step explanation:

you add 8+1+5+0+12 and you then divide it by 5 and you get 5.2

7 1

3 years ago

Read 2 more answers

Kenji simplifies 3^5 x 4^ 5and gets the result 12^10, but Darlene is not sure. Is Kenji correct? Justify your answer.

V125BC [204]

That's a question about exponentiation.

Answer:

Kenji is wrong because he does not aply the porperty correctly.

Step-by-step explanation:

A exponetiation has this form:

$\boxed{a^b}$

a is the base

b is the power or exponent

To understand that situation it's important to know a property about exponentiation. When we have a multiplication with the same exponent and diferent bases, the result is the multiplication of the bases with the same exponent. Let's see this above, in mathematical language:

$\boxed{a^b \cdot c^b = (a\cdot c) ^b}$

Examples:

$2^3 \cdot 8^3 = (2 \cdot 8) ^3 = 16^3$

$10^9 \cdot 23^9 = (10 \cdot 23) ^9 = 230^9$

Now, we can say why Kenji is wrong. It's easy simplify $3^5 \cdot 4^5$ ! We know that the result is $(3 \cdot 4) ^5 = 12^5$ , but Kenji multiplied the bases and added the exponents, that's why he is wrong.

I hope I've helped. ^^

Enjoy your studies! \o/

3 0

2 years ago

15/4 divide by 5/8. show your reasoning

kompoz [17]

15/4 / 5/8
= 15/4 times 8/5 (you flip the 2nd fraction)
15/4 times 8/5 = 120/20
120/20 can be simplified to 6/1=6
The answer is 6

8 0

3 years ago

Read 2 more answers