1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nasty-shy [4]
3 years ago
10

If angle 1 and angle 2 are complementary angles and if the measures of angle 1 is 8 more than the measure of angle 2 determine t

he measures of angle 1 and 2
Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

41° and 49°

Step-by-step explanation:

Given:

Angle 1 and angle 2 are complementary angles.

The measures of angle 1 is 8 more than the measure of angle 2.

Question asked:

Determine the measures of angle 1 and 2.

Solution:

Let ∠1 = x

Then ∠2 = x+8   (given)

As we know that sum of complementary angles are 90° and here given that angle 1 and angle 2 are complementary angles which means,

∠1 + ∠2 = 90°

x+x+8=90°

2x +8=90°

Subtracting both sides by 8,

2x=90°-8

2x = 82°

Dividing both sides by 2,

x=41°

∠1 = x=41°

∠2 = x+8

∠2 = 41+8 = 49°

Therefore, the measures of angle 1 and 2 are 41° and 49°

You might be interested in
Simplify x + 1/2 (x-5) =20
Aneli [31]

Answer: x=15

Step-by-step explanation: Let's solve your equation step-by-step.

x+ 1 /2

(x−5)=20

Step 1: Simplify both sides of the equation.

x+ 1 /2

(x−5)=20

x+( 1 /2 )(x)+( 1 /2 )(−5)=20(Distribute)

x+ 1 /2

x+  −5 /2 =20

(x+ 1 /2 x)+( −5 /2 )=20(Combine Like Terms)

3 /2 x +  −5 /2 =20

3 /2 x +  −5 /2 =20

Step 2: Add 5/2 to both sides.

3 /2 x +  −5 /2  +  5 /2 =20+ 5 /2

3 /2 x=  45 /2

Step 3: Multiply both sides by 2/3.

( 2 /3 )*( 3 /2 x)=( 2 /3 )*( 45 /2 )

x=15

5 0
3 years ago
Which of the following are solutions to the equation below 4x^2+20x+25=49
KATRIN_1 [288]
( 2x +5)^2 =4

2x+5=2

2x=-3

X=-3/2
4 0
3 years ago
Read 2 more answers
jake scored 2 goals in soccer this season.jaime scored 4 times as many goals as jacke edgar scored 3 times as many goals as jaim
elena55 [62]
Edgar scored 24 goals
Because 2x4=8 3x8=24
7 0
3 years ago
Which of the following expressions is a factor of the polynomial x 2 +3/2x-1
Elodia [21]

Answer:

\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }

Step-by-step explanation:

Hello,

let's solve

x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\

\Delta=b^2-4ac=9+4*2*2=9+16=25

There are two solutions

x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}

And

x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}

So we can write

x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
In which of the following cases would you add 7?
amid [387]
Umm. i am not sure if this will help but, i would pick the first one. mainly because, i like to think of it as money, like for example. If i had two separate banks, and in both of them i had seven dollars. If i give seven dollars to a charity and there is nothing left in my bank, i would add my other money from my second bank into my first one. that way i will have money in the bank i would normally go to.
3 0
3 years ago
Read 2 more answers
Other questions:
  • A worker can assemble 3 shelf units each hour. During the fifth hour of the shift, there were 115 shelf units in the warehouse.
    6·1 answer
  • Click or touch the graph to plot the points.
    15·1 answer
  • Directions for constructing the centroid of a triangle? ​
    14·1 answer
  • A cylinder has a diameter of 22 cm and a height of 9 cm. Identify the volume of the cylinder to the nearest tenth. HELP PLEASE!!
    13·1 answer
  • Set up the following word problem as a proportion and solve. Then write your answer as a complete sentence.
    7·1 answer
  • a summer camp has 250 campers. there are 32 more boy campers than girl campers. which system of equations represents the situati
    5·2 answers
  • Please please please help! Fast
    12·1 answer
  • Please help!!! I need to get this done by today really soon but I’m really confused.
    11·2 answers
  • Help me guys! 50 points!​
    6·2 answers
  • Monique is going to give away 35% of her orange harvest to her neighbors. If she picked 480 oranges, how many will she be giving
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!