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jarptica [38.1K]
1 year ago
12

(SAT prep) Find the value of x in each case of the following exercises:

Mathematics
1 answer:
yKpoI14uk [10]1 year ago
8 0

The value of x from the figure is 70°

<h3>How to determine the value</h3>

It is important to note that alternate angles are equal and angles in a triangle sum up to 180°

We then have that,

x + 50 + 60 = 180 °

x + 110 = 180°

Make 'x' subject

x = 180 - 110

x = 70 °

Thus, the value of x from the figure is 70°

Learn more about alternate angles here:

brainly.com/question/24839702

#SPJ1

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Find the area of the triangle
BARSIC [14]

Answer:

The Area of Δ ABC = 219.13

Step-by-step explanation:

<em>The hard part about this problem is finding the area without the height</em>

The formula to do this is Area = \sqrt{S(S-A)(S-B)(S-C)}

A, B, C represent the sides

S represents \frac{1}{2} (A + B + C)

In this equation, we will make the base be A, and the other two sides will be B and C

<u>Sides B and C are the same length</u> because they meet at a 90° angle

Lets plug the numbers into the variables

A = 28

B= 21

C= 21

<u>Remember:</u> S represents  \frac{1}{2}  (A + B + C)

S =  \frac{1}{2} (28 + 21 + 21)

S =  \frac{1}{2} (70)

S = 35

<em>Lets plug the numbers into the Area Formula now!</em>

Area = \sqrt{35(35 - 28)(35 - 21)(35 - 21)}

According to the order of operations, we need to do the calculations in parentheses <u>first</u>

35 - 28 = 7

35 - 21 = 14

35 - 21 = 14

14 x 14 x 7 = 1372

1372 x 35 = 48020

\sqrt{48020} = 219.13

The Area of Δ ABC = 219.13

3 0
3 years ago
A rectangle has an area of 40 square units. The length is 6 units greater than the width.
vampirchik [111]
The length is 10
The width is 4
4 + 6 = 10
4 x 10 = 40
6 0
3 years ago
Read 2 more answers
What is the distance between...
katen-ka-za [31]
The distance between -4/12 and 9 is
-369/2

Step 1 :

41
Simplify ——
2
Equation at the end of step 1 :

41
((((0 - ——) • a) • n) • d) • 9
2
Step 2 :

Final result :

-369and
———————
2
6 0
3 years ago
The area of a square is 15.1 units². Estimate the length of the sides. Explain how you estimated.
kykrilka [37]

If it is just an estimate then it would be around <em>4</em>. 15.1 is pretty close to 16 which has a perfect square root of 4. Since it is a square both length and width would be the same. To check it you can just square 4 or 4 times 4 and get 16. Hopefully I helped! And sorry if I am wrong.

BTW the exact answer would be 3.88~ (square root of 15.1) just incase you needed that. :)

6 0
2 years ago
How do you know am equation has no solution?
Natasha2012 [34]
If u work it out and both sides don't equal, then there is no solution.
Example :
2x + 4 = 2x + 6
2x - 2x = 6 - 4
0 = 2....this is incorrect...therefore, there is no solution
7 0
3 years ago
Read 2 more answers
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