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bulgar [2K]
3 years ago
8

Solve below. The question is asking for the value of angle 1

Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Answer:

  ∠1 = 70°

Step-by-step explanation:

The three marked angles are vertical angles with the interior angles of a triangle. Vertical angles are congruent, hence the sum of the marked angles is 180°.

  ∠1 = 180° -60° -50° = 70°

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4<br> How many 3-cup servings are in 4 cups?<br> A. 1/2<br> B. 2/<br> C. 4<br> D. 12
anygoal [31]
This questions stated differently so I’m assuming it’s 4?
7 0
1 year ago
Find the equation of the lines perpendicular and parallel to 2x-3y=8 line through the point (-2,-4)
marysya [2.9K]

Answer:

y= -1.5x-7 is the equation of the perpendicular line

Here's why:

when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.

8 0
3 years ago
A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^
Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0
3 years ago
The Weston Laundry washes all the linens for local hotels. In 7 days, they washed 285.38 pounds of towels and 353.47 pounds of s
Serhud [2]
In the problem it is already given that Weston Laundry washed 285.38 pounds of towel and 353.47 pounds of sheets from local hotels in 1 day. Firstly we have to find the total pounds of linens that Weston Laundry has washed in 7 days. Then only will it be possible to find the amount of linen washed in a day.
Then t
Total linen washed by Weston Laundry in 7 days = (285.38 + 353.47) pounds
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Then
The amount of linen washed by Weston Laundry in 1 day = 638.85/7
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So Weston Laundry washed about 91.26 pounds of linen each day.


4 0
3 years ago
At a certain store, the taco sauce was on sale for 1/5 off. With a coupon for an additional 40 cents off, the final cost of the
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B) c - 1/5c - 40 = 120


c- (original cost) - 1/5c (sale) - 40(coupon)= 120(final cost)

Hope that helps! :)
7 0
3 years ago
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