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Dafna11 [192]
3 years ago
14

In the parallelogram below find the value of each variable. Hint: find the value of t first

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

because this is a parallelogram

=> 3t - 15 = 2t + 10

⇔ t = 10 + 15

⇔ t = 25

with t = 25 => 3t - 15 = 3.25 - 15 = 60

we also have:

4r + (3t - 15) = 180°

⇔ 4r + 60° = 180°

⇒ 4r = 120°

⇔ r = 30

we also have;

4r = 3s

=> 4.30 = 3s

⇔ s = 4.10

⇔ s = 40

Step-by-step explanation:

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The angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the
Hatshy [7]

Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

3 0
3 years ago
taras car accelerated from 10 miles per hour to 70 miles per hour in 12 seconds. what is the approximate rate of change in the m
Rina8888 [55]

Answer:

60 mph

Step-by-step explanation:

70 - 10 = 60 miles per hour

5 0
3 years ago
5+7k>=-30 and -4k +4>20​
Slav-nsk [51]

Answer:

\large\boxed{-5\leq k

Step-by-step explanation:

5+7k\geq-30\ \wedge\ -4k+4>20\\\\5+7k\geq-30\qquad\text{subtract 5 from both sides}\\7k\geq-35\qquad\text{divide both sides by 7}\\\boxed{k\geq-5}\\\\-4k+4>20\qquad\text{subtract 4 from both sides}\\-4k>16\qquad\text{change the signs}\\4k

7 0
3 years ago
If angle 1 is 140°, then find the measure of the other angles.
Vlad [161]
<h2><u>Angles</u></h2>

<h3>If angle 1 is 140°, then find the measure of the other angles.</h3>

  • ∠2 = <u>40°</u>
  • ∠3 = <u>40°</u>
  • ∠4 = <u>140°</u>
  • ∠5 = <u>140°</u>
  • ∠6 = <u>40°</u>
  • ∠7 = <u>40°</u>
  • ∠8 = <u>140°</u>

<u>Explanation:</u>

  • The relationship between ∠1 and ∠2 are <u>supplementary angles</u>, so when you <u>add up their measurements, it will become 180°</u>. Simply subtract 180 and 140 to get the measure of ∠2. As well as ∠3, they're <u>linear pairs</u>. And they are also <u>supplementary</u>. To determine the measure of ∠6 and ∠7, notice the <u>relationship</u> between ∠2 and ∠6. As you noticed, it is <u>corresponding angles</u>. So they <u>have the same measurement</u>. If <u>∠2 = 40°</u>, then <u>∠6 = 40°</u>. As well as ∠7, because the relationship between ∠6 and ∠7 are <u>vertical pairs</u>. So the angle measurement of ∠7 is also <u>40°</u>.

  • Meanwhile, the relationship between ∠1 and ∠4 are <u>vertical pairs</u>. It means they also <u>have the same measurement</u>. So ∠4 = <u>140°</u>. The relationship between ∠1 and ∠5 are <u>corresponding angles</u>, so they also <u>have the same measurement</u>. If <u>∠1 = 140°</u>, then <u>∠5 = 140°</u>. The relationship between ∠1 and ∠8 are <u>alternate exterior angles</u>, and they also <u>have the same measurement</u>. <u>If ∠1 = 140°</u>, then <u>∠8 = 140°</u>.

Wxndy~~

8 0
2 years ago
Math please help me with it
seropon [69]
I hope this helps you

4 0
4 years ago
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