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
Lelu [443]
3 years ago
12

An angle is 9 more than half of its supplement. Find the measure of the smaller angle.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

The smaller angle = 66°

let x be the angle then \frac{1}{2} (180 - x) + 9 represents 9 more than half of it's supplement

equating the 2 expressions gives

x = \frac{1}{2} (180 - x ) + 9 → (distribute and simplify right side )

x = 90 - \frac{1}{2} x + 9 = 99 - \frac{1}{2} x

add \frac{ 1}{2} x to both sides

\frac{3}{2} x = 99

multiply both sides by 2 and divide by 3 gives

x = 66

the supplement of 66° is 180° - 66° = 114°

Thus the smaller angle is 66°



You might be interested in
In rectangle ANGL, AN = 16 and AG = 34. Find the perimeter of ANGL.
Viktor [21]
In a rectangle, opposite sides are equal so you can multiply the side lengths by 2 and add them so 16(2)+34(2) and yu get 32+68. The perimeter is 100
8 0
3 years ago
Read 2 more answers
a car uses 57 liters of gasoline for every 644 kilometers traveled. it takes 8 hours to use all the gasoline in the tank. what i
devlian [24]

Answer:

80.5 kilometers/h

Step-by-step explanation:

S=80.5km/h

D644

T8 hours

8 0
3 years ago
Pls help i cant get this question :(
sukhopar [10]

Answer:

A

Step-by-step explanation:

X<2

Everything before 2 on the X-Axis will be shaded.

< are broken lines, ≤ are solid lines.

3 0
3 years ago
The scale of the room design shows that 1" = 3 feet. How big is the actual room if the design shows a square that is 6 inches wi
adoni [48]

Answer:

arah is at a miniature exhibit. There is a model of a skyscraper. Underneath the model was a ratio. It said:

1 inch=30 feet.

If the model is 38 inches tall, how Sarah use this information to find the actual height of the skyscraper?

In this concept, you will learn how proportions are used to find actual and scale dimensions using a scale ratio.

Using Proportions to Find Dimensions

A scale is a ratio that shows the relationship between the representation of an object and the real measurement of an object. Toy makers use scale ratios to make models of cars and airplanes that are proportional to the real thing. Architects use scale drawings to plan the design of buildings.

A scale drawing is a drawing that is used to represent and object that is too large to be drawn in its actual dimensions. If a drawing is to scale, you can use proportions to determine the actual dimensions of the scale drawing.

Let’s look at a scale drawing of a sculpture. In the drawing, the sculpture is 4 inches tall. The scale is 1 inch : 4 feet. It scale can be written as

1 in4 ft

(Note: Inch is abbreviated “in.” or with the double prime mark, ″. Foot/feet is abbreviated “ft” or with the single prime mark, ′.)

A drawing with this scale tells you that 1 inch on paper is equal to 4 feet in real life. If the drawing is 4 inches tall, use the scale to find the actual height of the sculpture.

First, create a proportion using equivalent ratios. Remember to write the corresponding units in the numerator and in the denominator. The actual height of the sculpture is represented by the variable x.

1 in.4 ft.=4 in.x ft.

Then, cross multiply and simplify the equation to find the value of x.

xx==4(4)16

The sculpture will be 16 feet tall.

Let’s make a scale drawing. Use the scale 1′′=2′. Draw a room that is 8′×12′.

First, write a proportion to find the measurement of the width.

1′′2′=x′′8′

Next, cross multiply and simplify the equation to find the value of x.

2x2xx===1(8)84

The drawing will be 4

4 0
3 years ago
What is the measure of ∠x
julsineya [31]

Answer90 degrees

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • WILL GIVE 100 POINTS AFTER YOU ANSWER
    12·2 answers
  • One teacher wants to give each student 1/5 of slice of pizza. if the teacher has 9 slices of pizza then how many student will sh
    12·1 answer
  • Is negative two less than negative one?
    8·2 answers
  • Gabriella swims 2 laps per minute. What is the rate unit?
    5·2 answers
  • Which of the two triangles has the greatest area?
    8·1 answer
  • 500+x is less than or equal to 4500
    12·2 answers
  • ]HI THIS MY FAV SONG WHTS URS? WILL GIVE BRAINLIEST
    9·2 answers
  • Someone help, geometry is so hard
    5·1 answer
  • Find the perimeter and area of the rectangle
    12·2 answers
  • Amber had 6 cousins. Her friend Ashley has 2 fewer than 3 times as many cousins as Amber has. Which expression represents the nu
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!