2 years ago

Given/

Mathematics

1 answer:

larisa [96]2 years ago

7 0

Answer: x = 7

Step-by-step explanation: All the angles of a parallelogram add to 360°

Any two of the consecutive angles add to 180°

Using that information, we can create an equation with the angle measurements given:

(7x + 33) + (11x + 21) = 180 . Combine like terms:

7x + 11x + 33 + 21 =180

18x + 54 = 180 . Subtract 54 from both sides

18x = 126 Divide both sides by 18

x = 7

You might be interested in

2x – 3 = 6 if x=3<br> please help me im desperate

marissa [1.9K]

2x-3=6
2(3)-3=6
multiply the parenthesis
6-3=6
I hope this helped (:

5 0

3 years ago

Read 2 more answers

An item is priced at $13.26. If the sales tax is 5%, what does the item cost including sales tax?

mezya [45]

Answer:

13.92$

Step-by-step explanation:

13.26 times .05 (sales tax)

.66 + 13.26 = 13.92

7 0

3 years ago

Read 2 more answers

HELP!!!In the expression 100 a/b, if a is greater than b, which statements are true? b ≠ 0. Select all that apply.

MAXImum [283]

Answer:

$\large\boxed{\text{The expression is equal to}\ \sqrt[b]{100^a}}\\\boxed{\text{The expression is greater than 100}}$

Step-by-step explanation:

$a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\text{True statement:}\\\\100^\frac{a}{b}=\sqrt[b]{100^a}\\\\a>b\to\dfrac{a}{b}>1\to\dfrac{a}{b}=1\dfrac{a-b}{b}\\\\100^\frac{a}{b}=100^{1\frac{a-b}{b}}=100^{1+\frac{a-b}{b}}=100^1\cdot100^\frac{a-b}{b}=100\sqrt[b]{100^{a-b}}\\\\a>b\to a-b>0\to100^{a-b}>1\\\\\text{Therefore}\ 100\sqrt[b]{100^{a-b}}>100$