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Agata [3.3K]
3 years ago
9

Could someone help me with this please!

Mathematics
2 answers:
zvonat [6]3 years ago
8 0
A. 42 degrees
The measure or angles 1, 3, and 4 add up to 180 degrees. because angle 1 is 3x and and 4 is 3x-6 and the measure of angle 3 is 90 degrees, it can be rewritten as 3x+90+3x-6=180, which can then be simplified to 6x+84=180, which using algebra proves that x is equal to 16. since the measure of angle 2 and 4 are the same, the measure of angle 2 can also be written as 3x-6, and substituting x for 16, the measure of angle 2 is equal to 42 degrees.

sertanlavr [38]3 years ago
6 0
Angles 1, 3, and 4 make up a straight line.
Thus, 3x + 90 + 3x - 6 = 180 (angle sum of straight line)
6x - 6 = 90
6x = 96

x = 16
Now angle 1 becomes 3(16) = 48
Angle 1, 2, and 3 also make up a straight line.
Thus, angle 2 + 48 + 90 = 180
angle 2 + 138 = 180
angle 2, therefore, becomes 42. In essence, (A)
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3 years ago
Solve for x. Please help
Feliz [49]

Answer:

<u><em>x = 37/45</em></u>

Step-by-step explanation:

Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B

Ok, so these 2 triangles are similar, so we can set up a butterfly equation:

Side 1a would be 8x

Side 1b would be 5x +3

Side 2a would be 10x - 2

Side 2b would be 7x

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Our equation would be

8x/(5x+3) = (10x-2)/7x

We cross multiply to get 8x(10x-2) = 7x(5x+3)

Instead of solving and getting squares, we can x on both sides and we get:

8(10x - 2) = 7(5x+3) ----> we simplify to get

80x - 16 = 35x + 21 ----> it's easy sailing from here.

45x = 37

<u><em>x = 37/45</em></u>

<u><em>gosh i hope it's right...</em></u>

4 0
3 years ago
Ariel snowboarded down a mountain that has a vertical height of 1,200 feet. She traveled a distance of 2,400 feet from the top o
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The angle of elavation would be 45°, this is because straight up would be represented by 180°, and 90°, would remain as 1200 ft traveled, and half of 90°, is 45° which would double the distance traveled
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3 years ago
Jennifer made 5l of punch for her party . her brother made another 750 ml.if the combined the two batches , how many 180 ml serv
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n = 5750 / 180 = 31.94 or about 31 servings of 180 ml was made.

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3 0
3 years ago
1. Find the area of the region bounded above by y = e^x, bounded below by y = x, and bounded on the sides
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The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.

<h3>What is the significance of "Area under the curve"?</h3>

This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.

<h3>What is the justification for the above answer?</h3>

Area = \int\limits^1_0 {(e^x-x)} \, dx

= \int\limits^1_0 {e^x-x} \, dx - \int\limits^1_0 {(x)} \, dx

= e¹-(1/2-0); or

Area = e -1.5 Squared Unit

The related Graph is attached accordingly.

Learn more about area bounded by curve:
brainly.com/question/27866606
#SPJ1

3 0
2 years ago
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