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bulgar [2K]
2 years ago
8

Given the figure, find the values of x and z.

Mathematics
1 answer:
I am Lyosha [343]2 years ago
3 0

Step-by-step explanation:

  • (8x-38°)=90° {because of being vertically opposite angles}
  • 8x-38°=90°
  • 8x=90°-38°
  • 8x=52°
  • x=52°/8
  • x=6.5°

  • z°+90°=180° {being linear pair}
  • z°=180°-90°
  • z°=90°
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3 years ago
Solve the inequality. 1/3+x+2/9>5/6
Anettt [7]

Answer:

5⁄18 < x

Step-by-step explanation:

Start by adding like-terms [⅓ and 2⁄9] with 9 being the Least Common Denominator [LCD]. Since 2⁄9 already has a 9 in the denominator, it does not get touched, so in order to make ⅓ a denominator of 9, we simply multiply both terms by 3, to get 3⁄9. So, adding that to 2⁄9 gives you 5⁄9, also giving you <em>5⁄9</em><em> </em><em>+</em><em> </em><em>x</em><em> </em><em>></em><em> </em><em>⅚.</em><em> </em>Now, we have to find the LCD again because we have two unlike fractions. Now, our Least Common Denominator is 18, so multiply both terms in ⅚ by 3 [15⁄18] and multiply both terms in 5⁄9 by 2 [10⁄18]. Now you have two like fractions to work with, and you can clearly see that your answer is <em>x</em><em> </em><em>></em><em> </em>5⁄18. Although the answer is written in reverse, it is still the same concept.

I am joyous to assist you anytime.

4 0
3 years ago
The present age of the father and his son is 32 years and 7 years respectively.
Romashka-Z-Leto [24]

Answer:

ok so im so confused but like you know i tried and i got this:

X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.

(32 - x)(7 - x) = 116

(x - 32)(x - 7) = 116

x^2 - 39x + 224 = 116

x^2 - 39x + 108 = 0

(x - 3)(x - 36) = 0

x = 3, 36

But (32 - x) > 0, so x does not equal to 36.

x = 3

3 years ago, the father would be 29 years old, and the son 4 years old.

i know it sounds crazy but i think its wrong lol

3 0
3 years ago
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S_A_V [24]

Yo sup??

The x intercept can be found out by putting y=0 in the equation

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similarly the y intercept can be found out by placing x=0

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the y intercept is -4

Hope this helps

8 0
2 years ago
How do I solve system of equations by subsitution<br><br>​
ValentinkaMS [17]
You need to solve for x or y in one equation and and substitute it into the other equation in place of the variable that corresponds to it.

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