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Jet001 [13]
3 years ago
14

Select the correct answer.

Mathematics
2 answers:
Ivan3 years ago
7 0

Diagram needed please!!

trapecia [35]3 years ago
4 0

Answer:

<h2>The correct option is B. Alternate Exterior angles theorem</h2>

Step-by-step explanation:

Let name the marked angles in the figure as x and y

Given that : x = y

So, to state which theorem does the diagram illustrate, we first need to find the relation between the angles x and y

Alternate interior angles : The angles which lie interior to the parallel sides but on the opposite side of the transversal.

But x and y lie exterior to the parallel lines, So this option is rejected.

Alternate exterior angles : The angles which lie exterior to the parallel sides but on the opposite side of the transversal.

But x and y lie exterior to the parallel lines, So this option is correct.

Same side interior angles theorem : This theorem states that the sum of same side interior angles in 180.

So it can't be said angle x = angle y by using this theorem. So, this option is rejected

Corresponding angles theorem : The angle which lie at same relative position of the transversal.

But, angle x and angle y lie on the opposite side. So, this option is rejected

So, B. Alternate Exterior angles theorem

Also, next time including the diagram would be very helpful.

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joe and james are selling pies for a school fundraiser. Customers can buy blueberry pies and blackberry pies. Joe sold 5 blueber
dimulka [17.4K]
This is a system of equations problem.

Blueberry = X, blackberry = Y

Joe:
5x + 10y = 135

James:
x + 9y = 104

Let’s isolate x from James’ equation.
x = 104 - 9y

Now substitute that into the first equation.
5(104 - 9y) + 10y = 135

520 - 45y + 10y = 135

-35y = -385

y = -385/-35. The negatives cancel out, leaving us with $11 for blackberries.

Now we can substitute that value into James’s equation.

x + 9(11) = 104

x = 104 - 99

x = $5

Final answer: Blueberry pies cost $5, blackberry pies cost $11.
3 0
3 years ago
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
vladimir2022 [97]
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. 
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. 
Therefore:
r + y ≤ 15
r ≥ 5
We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? 
Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.
If she worked all 15 hours in the restaurant, she would make 8*15 = 120.
The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 
Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 
5*8 + 10*12 = 40 + 120 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
7 0
3 years ago
Please help me I will mark u as brainlyest answer
dsp73

Answer:

D, D, G, G,

Step-by-step explanation:

1st. Decay: This is decay because number being multiplied is less than 1.

2nd. Decay:This is decay because number being multiplied is less than 1.

3rd. Growth: This is growth because the number being multiplied is greater than 1.

4th.Growth:This is growth because the number being multiplied is greater than 1.

8 0
3 years ago
E=mc2 Solve for C<br><br> Can someone help me solve for C?
zepelin [54]
C = sqrt(e/m)

You can get this by first dividing away the m and then taking the square root of both sides. 
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3 years ago
Read 2 more answers
Write a two-step equation that involves multiplication and subtraction, includes a negative coefficient, and had a solution of x
Contact [7]
9x - 21 = -42
This should be the type of equation that you're looking 4
7 0
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