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ipn [44]
3 years ago
5

Match the reasons to the statements in the proof. Given: m 1 + m 5 = 180° m 1 + m 4 = 180° Prove: | |

Mathematics
1 answer:
Elden [556K]3 years ago
3 0

Answer and Step-by-step explanation:

Since we have given that

1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180° - Given

2. m∠1 + m∠5 = m∠1 + m∠4 - Substitution

3. m∠5 = m∠4 -

Subtraction property of equality

4. Ray YZ is parallel to Ray UV - If alternate interior angles equal, then line are ||

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1/3 of 7 as a fraction
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Hey There! Whoever we see the keyword “of”, we know that it’s multiplication Therefore we’re multiplying 1/3 and 7/1 that gives us 7/3

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2 years ago
A landscaper has enough cement to make a patio with an area of 150 Sq ft. The homeowner wants the length of the patio to be 6 ft
Natasha_Volkova [10]
A=lw=150\\l=w+6\\(w+6)w=150\\w^2+6w=150\\w^2+6w-150=0\\w=\frac{-b+-\sqrt{b^2-4ac}}{2a}\\w=\frac{-(6)+-\sqrt{(6)^2-4(1)(-150)}}{2(1)}\\w=\frac{-6+-\sqrt{36+600}}{2}\\w=\frac{-6+-\sqrt{636}}{2}\\w=\frac{-6+-2\sqrt{159}}{2}\\w=-3+-\sqrt{159}>0\\w=-3+\sqrt{159}\\\\l=(-3+\sqrt{159})+6\\l=3+\sqrt{159}

Width = -3 + sqrt(159)
Length = 3 + sqrt(159)
4 0
3 years ago
Write an inequality and solve the problem the sum of a number and 19 is at least 8.2.
Sunny_sXe [5.5K]
When you write it as an inequality you get x + 19 ≈ 8.2 and when you solve it it should look like x + 19 ≈ 8.2
                             19 ≈ - <u>19
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4 0
2 years ago
What is the equation ?
andreev551 [17]

Answer:

y=x-5

Step-by-step explanation:

y-2=(7-2)/(12-7)(x-7)

y=1(x-7)+2

y=x-5

3 0
2 years ago
Find the x and y intercepts for the following equation. 2x– 7y=-14
Kisachek [45]

Answer:

C: Xint = 2, Yint. = -7

Step-by-step explanation:

Given the equation, 2x - 7y = -14:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0.  To solve for the y-intercept, set x = 0:

2x - 7y = -14

2(0) - 7y = -14

0 - 7y = -14

-7y = -14

Divide both sides by -7 to solve for y:

-7y/-7 = -14/-7

y = 2

Therefore, the y-intercept = 2.

Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:

2x - 7y = -14

2x - 7(0) = -14

2x - 0 = -14

2x = -14

Divide both sides by 2 to solve for x:

2x/2 = -14/2

x = -7

x-intercept = -7.

Therefore, the correct answer is C: Xint = 2, Yint. = -7

Please mark my answers as the Brainliest if you find this helpful :)

7 0
2 years ago
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