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Vlad1618 [11]
3 years ago
9

What is the arc measure of AD in degrees?

Mathematics
1 answer:
ella [17]3 years ago
4 0
∠APD, ∠DPC, ∠CPB are supplementary angles (angles whose sum is 180°). ∠DPC is right angle (angle whose measurement 90°)

Make an expression based on the information above, then solve for x
∠APD + ∠DPC + ∠CPB = 180°
7x + 1 + 90 + 9x - 7 = 180

add like terms
7x + 9x + 1 + 90 - 7 = 180
16x + 84 = 180
16x = 180 - 84
16x = 96
 x = 96/16
 x = 6

The value of x is 6, substitute this value to APD's algebraic expression
∠APD = 7x + 1
∠APD = 7(6) + 1
∠APD = 42 + 1
∠APD = 43

The measurement of ∠APD is 43°
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AD = 4, BC = 5, AB + DC = 12. Найти AB, DC, AC.
Black_prince [1.1K]

Answer:

Im sorry but I ain't smart for this stuff

Step-by-step explanation:

lol

6 0
3 years ago
Find the inverse of f(x)=−3/2x+7/2.
timama [110]

Answer: f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

y=-\frac{3}{2}x+\frac{7}{2}                       [replace y with x and x with y]

x=-\frac{3}{2}y+\frac{7}{2}                       [subtract both sides by 7/2]

x-\frac{7}{2} =-\frac{3}{2}y                       [multiply both sides by -2/3]

-\frac{2}{3} (x-\frac{7}{2} )=y                     [distribute]

y=-\frac{2}{3}x+\frac{7}{3}

Now, we have our inverse function.

f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}

7 0
3 years ago
Will give brainly .Which statements are true regarding undefinable terms in geometry? Check all that apply.
babymother [125]

The true statements about terms in geometry that are undefinable are;

  • A point has no length or width
  • A point indicates a location on the coordinate plane
  • A line consists of an infinite set of points.
  • A plane consists of an infinite set of points.

<h3>How can the true statements be found?</h3>

Three undefinable terms in geometry are;

1) Point

2) Line

3) Plane

The above terms do not have a formal definition but they can be described based on their properties.

The other geometric terms are defined based on the above undefinable terms.

A point can be described as a location in space that is dimensionless and can be specified on the coordinate plane as an ordered pairs (x, y).

True statements about a point are therefore;

  • A point has no length or width
  • A point indicates a location on the coordinate plane

A line is infinitely long, that has no beginning or end. It has one dimension, with no thickness or height.

Given that a point is dimensionless, a line can be considered a set of points.

A true statement is therefore;

  • A line consists of an infinite set of points.

A plane is a two dimensional geometric figure that have infinite length and width.

An infinite set of lines that forms a two dimensional figure can be used to describe a plane.

The true statement with regards to a plane is therefore;

  • A plane consists of an infinite set of points.

Learn more about undefinable terms in geometry here:

brainly.com/question/1706041

#SPJ1

7 0
2 years ago
Bruh It's easy but plis help :/
Ugo [173]

Answer: 0

Explanation:

0 to the 5th power means 0 five times so

0 x 0 x 0 x 0 x 0

=0

3 0
3 years ago
Read 2 more answers
your planning to build a boat. you have a sample board of wood that you want to use . the board has an area of 1/3 ft squared an
frosja888 [35]
Given:
Area of sample board: 1/3 square ft.
Weight of sample board: 1/5 lbs

We need to get the weight of the whole square foot.

1/3 square foot is only a part of the whole square foot. Its corresponding weight is 1/5 pounds. We need to divide the area by its corresponding weight to get the total weight per square foot.

1/3 ÷ 1/5 

Rules of dividing fractions:
1st fraction: 1/3 ; 2nd fraction: 1/5

1) Get the reciprocal of the 2nd fraction. 1/5 ⇒ 5/1

2) Multiply 1st fraction to the reciprocal of the 2nd fraction
1/3 * 5/1 = 5/3

3) Simplify fraction.
5/3 is an improper fraction. To simplify it, it needs to become a mixed fraction.

5/3 = 1 2/3 pounds.



8 0
3 years ago
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