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1 year ago

Can someone help me here

Mathematics

2 answers:

vodka [1.7K]1 year ago

3 0

Answer:

Step-by-step explanation:

Problem 12

Comment

A cyclic quadrilateral (a 4 angled quadrilateral where all 4 corners touch the circumference of a circle), has the property that opposite angles add up to 180 degrees.

Formula

4x + 9 + 3x + 3 = 180 Collect like terms

Solution

4x + 3x + 9 + 3 = 180 Combine

7x + 12 = 180 Subtract 12 from both sides

7x + 12 -12 = 180 - 12 Combine

7x = 168 Divide by 7

7x/7 = 168/7

x = 24

Answer

x = 24

Problem 13

Comment

Same comment as was given for problem 12

Formula

3x + 2 + 3x - 32 = 180 Collect like terms

Solution

3x + 3x +2 - 32 = 180 Combine

6x - 30 = 180 Add 30 to both sides

6x -30+30 = 180 + 30

6x = 210 Divide by 6

6x/6 = 210/6

x = 35

Answer

x = 35

tiny-mole [99]1 year ago

3 0

Hey there!

[QUESTION #12]
EQUATION: 4x + 9 + 3x + 3 = 180°

4x + 9 + 3x + 3 = 180°

COMBINE the LIKE TERMS

(4x + 3x) = (9 + 3) = 180°
4x + 3x + 9 + 3 = 180°

7x + 12 = 180°

SUBTRACT 12 to BOTH SIDES

7x + 12 - 12 = 180 - 12

SIMPLIFY IT!
7x = 180 - 12

7x = 168

DIVIDE 7 to BOTH SIDES

7x/7 = 168/7

SIMPLIFY IT!
x = 168/7

x = 24

Therefore, the answer should be:

x = 24

[QUESTION #13]

EQUATION: 3x + 2 + 3x - 32 = 180°

3x + 2 + 3x - 32 = 180°

COMBINE the LIKE TERMS

(3x + 3x) + (2 - 32) = 180°
3x + 3x + 2 - 32 = 180°

6x - 30 = 180°

ADD 30 to BOTH SIDES

6x - 30 + 30 = 180 + 30

SIMPLIFY IT!
6x = 180 + 30

6x = 210

DIVIDE 6 to BOTH SIDES

6x/6 = 210/6

SIMPLIFY IT!
x = 210/6

x = 35

Therefore, the answer should be:

x = 35

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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3 years ago

What number makes the expressions equivalent? Enter your answer in the box. 1/2(–1.4m + 0.4) =__m + 0.2A) -1.4B) 1.4C) -0.7D) 0.

Snowcat [4.5K]

Answer:

C. -0.7

Explanation:

Given the equation:

$\frac{1}{2}(-1.4m+0.4)=\boxed{\square}_{}m+0.2$

First, distribute the bracket on the left-hand side:

$\begin{gathered} \frac{1}{2}(-1.4m)+\frac{1}{2}(0.4) \\ =-0.7m+0.2 \end{gathered}$

The number that makes the given expressions equivalent is -0.7.

The correct choice is C.

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10 months ago

Susie use the one have to help compare 1/3 to 3/5 and to help in comparing 3/7 with 2/3 explain how 1/2 helps determine which fr

gogolik [260]

The fraction $\frac{3}{5}$ and $\frac{2}{3}$ are the greatest in each combination.

Explanation:

Comparing the fraction $\frac{1}{2}$ with $\frac{1}{3}$ and $\frac{3}{5}$ to find the greatest value.

The fraction $\frac{1}{2}>\frac{1}{3}$ and $\frac{1}{2}$

Thus, $\frac{1}{3}$

Hence, $\frac{3}{5}$ is the greatest value in this combination.

Also, Comparing the fraction $\frac{1}{2}$ with $\frac{3}{7}$ and $\frac{2}{3}$ to find the greatest value.

The fraction $\frac{1}{2}>\frac{3}{7}$ and $\frac{1}{2}$

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8 0

3 years ago

Help me please and thank you

posledela

Answer:

m∠N = 85°

Step-by-step explanation:

Properties of a parallelogram

opposite sides are parallel and equal in length
opposite angles are equal
interior angles that lie on the same side of the transversal are supplementary - their sum is 180°

Therefore,

m∠M + m∠N = 180°

⇒ 95° + m∠N = 180°

⇒ m∠N = 180° - 95°

⇒ m∠N = 85°

--------------------------------------------------------------------------------------

Additional calculations

m∠M = m∠P = 95°

m∠N = m∠L = 85°

MN = LP

ML = NP

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