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vladimir1956 [14]
3 years ago
5

Which best describes the relationship between the line that passes through the points (-6, 5) and (-

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0

Answer:

Line that passes through the points (-6,5) and (-2,7) is,

y=x/2+8, slope is 1/2

line that passes through the points (4,2) and (6,6) is,

y=2x-6, slope is 2

so, there is no relationship between those two lines,

intersection point is (28/3,38/3)

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ABCD is a rhombus, where m∠AED = 5x – 10. Use the properties of a rhombus to determine the value of x. Question 10 options: A) x
fomenos

Answer:

A) x = 20

Step-by-step explanation:

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\therefore \: m \angle AED = 90 \degree \\  \therefore \: (5x - 10) \degree = 90 \degree \\ \therefore \: 5x - 10 = 90  \\ \therefore \: 5x  = 90 + 10  \\ \therefore \: 5x  = 100  \\ \\  \therefore \: x  = \frac{100}{5}  \\  \\ \huge \red{ \boxed{ \therefore \: x  =20}}

5 0
3 years ago
A salesperson earns $450.20 per week plus 15% of her weekly sales. Which of the following describes the sales necessary for the
lapo4ka [179]
First we must construct an equation to model the problem. (In this case we will use an inequality instead) This is what I came up with:
         450.20+0.15s>=600.10

This equation shows how if her base earnings ($450.20) are added to 15% of her sales, represented by s, then the total will be greater than or equal to $600.10
Next, we simply solve for s. (steps shown below)

1) 450.20+0.15s>=600.10 (simply restating the inequality)
2) 0.15s>=149.90 (here I isolated the variable)
3)0.15s/0.15>=149.90/0.15 (Finally I solve for s by dividing both sides by 0.15, this will isolate s on the left and leave the answer on the right)
4) s>=999.33... (here I found the total sales the salesperson would need to reach his/her goal of earning a minimum of $600.10; the 3's after the decimal are repeating so in the next step I will round up to the nearest hundredth (b/c this is what money is rounded to and if I round down he/she would make less than her goal. This means i must round up.))
5) s>=999.34 (simple rounding; once again I rounded up b/c rounding down would slightly bring the total earnings to less than the goal)

<u>Therefore, the salesperson would need his/her sales to be $999.34 in order for his/her total earnings for the week to be at least $600.10</u> (greater than or equal to $600.10)

<u>Hope this helped!</u>
4 0
3 years ago
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