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sweet [91]
2 years ago
7

Exercise 2 Determine the measures of the angles marked with letters. (Note: Lines with arrowheads are parallel)

Mathematics
1 answer:
-Dominant- [34]2 years ago
6 0

Answer: n⁰ = 70⁰

Ok done. Thank to me :>

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Could someone explain this to me ??
hodyreva [135]
<h3>Answer: C) 12</h3>

========================================================

Explanation:

Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.

For now, let's focus on triangle DEC.

The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.

For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.

For any triangle, the three angles always add to 180

y+65+65 = 180

y+130 = 180

y = 180-130

y = 50

So angle DCE is 50 degrees.

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

Now we move onto triangle ABC.

Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.

So triangle ABC has the three angles y = 50, y = 50 and 7x-4

We can solve for x like so

y+y+(7x-4) = 180

50+50+(7x-4) = 180

7x+96 = 180

7x = 180-96

7x = 84

x = 84/7

x = 12

This points to choice C as the final answer.

3 0
3 years ago
What is the answer to this -3m=-9+-2m
ikadub [295]
1. <span>Simplify -9 + -2m to -9 - 2m

-3m = -9 - 2m

2. </span><span>Add </span>2m <span>to both sides

-3m + 2m = -9

3. </span><span>Simplify -3m + 2m to -m

-m = -9

4. </span><span>Multiply both sides by </span><span><span>−<span>1

m = 9

Done! :) our answer is m = 9</span></span></span>
5 0
2 years ago
Answer A, B, C, Please, and Thanks!
DochEvi [55]

A) The variable on the horizontal axis of the graph (the independent variable) is "pounds of rice". That is what the first number in the ordered pair (6, 18) represents.

The variable on the vertical axis of the graph (the dependent variable) is "total cost in dollars". That is what the second number in the ordered pair represents.

(6, 18) represents that the total cost of purchasing 6 lbs of rice is $18.

B) The unit price is found at the point where the independent variable has the value 1. That would be at the point (1, 3), which indicates the unit price is $3 per pound.

C) You would have to buy 4 lbs of rice for the total cost to be $12. There are at least two ways to find the answer.

  1. Draw a horizontal line on the graph at cost = $12. It intersects the graph at lbs = 4.
  2. Divide the total cost by the unit price. $12/($3/lb) = 4 lb.
7 0
2 years ago
What is the equation of a line that is parallel to y=47x−3 and passes through (14, 4)?
Shtirlitz [24]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where

m = slope

c = intercept

The equation of the given line is

y = 47x - 3

Comparing with the slope intercept equation, m = 47

If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47

We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes

4 = 47× 14 + c

4 = 658 + c

c = 4 - 658 = - 654

The equation becomes

y = 47x - 654

6 0
3 years ago
Plz help I will give brainliest!
elena55 [62]

Answer:

b, 1 5/8

Step-by-step explanation:

the area is 4 15/32 square meters, and you find the area by doing length x width. the length is provided, 2 3/4. so all you have to do is divide 4 15/32 by 2 3/4 and you get 1 5/8

6 0
2 years ago
Read 2 more answers
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