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maw [93]
3 years ago
14

Find m A.)38 B.)22 C.)52 D.)12

Mathematics
2 answers:
sp2606 [1]3 years ago
8 0

Answer:

x =12

Step-by-step explanation:

The two angles add to 90 degrees

4x+4 + 5x-22 = 90

Combine like terms

9x - 18 = 90

Add 18 to each side

9x -18+18 = 90+18

9x = 108

Divide each side by 9

9x/9 = 108/9

x =12

MariettaO [177]3 years ago
5 0

Answer:

C.) 52°

Step-by-step explanation:

<u>find x first</u>

4x + 4 + 5x - 22 = 90

9x - 18 = 90

9x = 108

x = 12

<u>plug it into the expression</u>

4(12) + 4

= 48 + 4

= 52°

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At a competition with 7 runners, medals are awarded for first, second, and
il63 [147K]

Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and  third places. Each of the 3 medals is different.

To find : How many ways are there to  award the medals?        

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is ^7P_3

We know, ^nP_r=\frac{n!}{(n-r)!}

Substitute the values,

^7P_3=\frac{7!}{(7-3)!}

^7P_3=\frac{7\times 6\times 5\times 4!}{4!}

^7P_3=210

Therefore, Option A is correct.

Permutation; number of ways = 210

6 0
2 years ago
Plz help me!!!!!!!!!!!
Elenna [48]

Answer:

triangle d

Step-by-step explanation:

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8 0
3 years ago
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What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).
Aliun [14]

The solution of the system of equation is (-7, -2).

<h2>Given</h2>

The system of the equations;

\rm y^2 + x^2 = 53 \\\\y -x = 5

From equation 1

\rm  y -x=5\\\\y = 5+x

Substitute the value of y in equation 1

\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0     \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2

The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

y = 5 +2

y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2

Hence, the solution of the system of equation is (-7, -2).

To know more about System of Equation click the link given below.

brainly.com/question/1495351

6 0
2 years ago
one angle of a triangle is 2 / 3 of a right angle . the greater of the other to exceed the lesser by 20 degree. Find the angles
jarptica [38.1K]
2/3 of a right triangle is 60 degrees.  Then x + (x+20) + 60 = 180 total.

2x + 80 = 180, so 2x = 100 and x = 50.  The angles are 50, 70 and 60 (degrees)

What do you mean by "grades?"
4 0
3 years ago
Wolf Slayer21 Has 165 Subscribers. He Got 5 More Subscribers. How Many Subscribers Does He Have?
Arada [10]

Answer:

170 Subscribers.

Step-by-step explanation:

He had 165 then he got 5 more so you need to add the amount so 165 and 5 would give you the answer of 170 subscribers. Hope This Helps.

6 0
3 years ago
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