All categories

4 years ago

Question- In triangle QRS, angle R is 20 degrees more than angle Q and angle S is 70 degrees more than angle Q.Find angle R.

Mathematics

1 answer:

Kazeer [188]4 years ago

8 0

Answer:

R = 50

Step-by-step explanation:

The sum of the angles of a triangle equal 180 degrees

S + R + Q = 180

x+70 + x+ 20 + x = 180

Combine like terms

3x +90 =180

Subtract 90 from each side

3x+90-90 = 180-90

3x= 90

Divide by 3

3x/3= 90/3

x = 30

We want to find angle R

R = x+20

R = 30+20

R = 50

You might be interested in

Scores on the ACT exam have a N(μ = 18,σ = 6) distribution, while scores on the SAT

elena-14-01-66 [18.8K]

Answer:

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.

Step-by-step explanation:

Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.

Xiaoyu:

z = $\frac{27 - 18}{6}$ = 1.5

Emily:

z = $\frac{720 - 500}{100}$ = 2.2

______

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.

3 0

3 years ago

A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from

EastWind [94]

Answer:

11.37 lb-ft

Step-by-step explanation:

We are given that

Force,F=3 pounds

$\theta=42^{\circ}$

Let Point A (3,7) and point B(8,8)

We have to find the work done by the force.

$d==$

$r=\mid d\mid=\sqrt{x^2+y^2}=\sqrt{5^2+1^2}=\sqrt{26}$ feet

We know that Work done by the force

$W=Frcos\theta$

Substitute the values

$W=3\times \sqrt{26}cos42=11.37 lb-ft$

Hence, the work done by the force =11.37 lb-ft

6 0

3 years ago

Debra travels a distance of 2 miles in 1 minute how much distance can she cover in 25 minutes

Marta_Voda [28]

Debra will travel 50 miles in 25 minutes

Step-by-step explanation:

Given

distance = 2 miles

Time = 1 minute

Other time = 25 minutes

We can use the proportions to find the number of miles debra will travel in 25 minutes

So,

$Distance:Time::Distance:Time\\2:1::Distance:25\\\frac{2}{1} = \frac{Distance}{25}\\Distance = 25 *2\\= 50\ miles$

Hence,

Debra will travel 50 miles in 25 minutes

Keywords: Proportion, rate

Learn more about proportion at:

#LearnwithBrainly

8 0

3 years ago

Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?

Umnica [9.8K]

Answer:

The correct answer is A or 2(x+1/2x)=105

Step-by-step explanation:

3+2(x+1/2x)=105

3 0

3 years ago

What is the anser for 194*33333

kkurt [141]

(the answer is) = 6466602

8 0

3 years ago