The sum of the measures of angle M and angle R is 90°.

1 answer:

3 0

X=5

55+(5x+10)=90

(this is a right triangle since all three angles must add up to 180 degrees)

55+5x+10=90
65+5x=90
-65 -65
——————
5x=25

(get the x alone by dividing both sides by 5)

x=5

You might be interested in

Three Texas drovers met on a highway and began to dicker as follows:

Alik [6]

Answer:

Jim's: 7
Duke's: 21
Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

3(D -14 +1) = (H +14 -1) . . . . Duke's offer

6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

2H - J = 15

3D - H = 52

6J - D = 21

<u>Solution</u>

Adding twice the second equation to the first gives ...

2(3D -H) +(2H -J) = 2(52) +(15)

6D -J = 119

Adding 6 times the third equation to this one gives ...

6(6J -D) +(6D -J) = 6(21) +(119)

35J = 245

J = 7

Using this value in the third equation gives ...

6(7) -D = 21

42 -21 = D = 21

Using the value of J in the first equation gives ...

2H -7 = 15

H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

5 0

3 years ago

Given the probability histogram pictured for a discrete random variable X, what is μx?

zubka84 [21]

Answer:

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Solve the quadratic equation 3x²+x-5=0

PIT_PIT [208]

This does not look easy to factor, so I'd suggest using the quadratic formula:
-1 plus or minus sqrt( 1-4(3)(-5) )
x = -----------------------------------------------
2*3

-1 plus or minus sqrt(61)
= ------------------------------------
6

Thus, there are 2 real, unequal, irrational roots / solutions.

8 0

3 years ago

Rationalise the denominator.

grin007 [14]

Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

$(5 -\sqrt{2})$