How do you do this? Find M

Mathematics

1 answer:

Luden [163]3 years ago

3 0

Answer:

Step-by-step explanation:

Let angle ABZ be angle 1 and angle ZBC be angle 2.

Angle 1 = 85 degree

Angle 2 = 6x + 9

measure of angle ABC = 24x+4

Angle 2 = ABC - 85

6x + 9 = 24x + 4 - 85

6x - 24x = 4 - 85 - 9

-18x = -90

x = -90/-18 = 90/18 =

x = 5

Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree

Therefore the measure of angle ZBC = 39 degree

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Chris bought "c" tickets to a movie for $9 each. Michael bought " m" tickets to another movie for $10 each. Write an expression

Fynjy0 [20]

<u>Answer:</u>

9c + 10 (see below)

<u>Step-by-step explanation:</u>

To find how much Chris spent on tickets, you can write an expression to represent the situation:

$9c

You can do this to find how much Michael spent as well:

$10m

To find how much Chris and Michael spent combined, add their two costs:

9c + 10

5 0

3 years ago

Which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?

Kruka [31]

Answer:

B. $\frac{67}{10} x + 9$

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

$3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)$

$\frac{21}{5}x + 12 - \frac{6}{2} + \frac{10}{4} x$

$\frac{21}{5} x + 12 - 3 + \frac{10}{4} x$

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

$\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9$