In $\triangle PQR,$ the sum of $\angle P$ and $\angle Q$ is $60^\circ.$ What is the measure of $\angle R?$

Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

60 + angle4 = 180

angle4 = 180 - 60

angle4 = 120

Also,

angle2 = 120 (vertically opposite angles)

angle1 + angle2 = 180 (linear pair)

angle1 + 120 = 180

angle1 = 180 - 120

angle1 = 60

Answer:

2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

The slope is -2.

Step-by-step explanation:

m=y2-y1/x2-x1            (also, y1-y2/x1-x2 is also true.)

=23-15/6-10                  m=15-23/10-6

= 8/-4                            =-8/4

=4/-2                             =-4/2

= 2/-1                             =-2/1

m=-2                             m=-2

Answer:

If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.

In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.

The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.

The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.

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Answer:

1

Step-by-step explanation:

Answer:

The slope of the given line is -4

Step-by-step explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In the given figure

∵ The line passes through the points (-6, 5) and (-4, -3)

∴ x1 = -6 and y1 = 5

∴ x2 = -4 and y2 = -3

→ Substitute them in the formula of the slope above

∵ m = [tex]\frac{-3-5}{-4--6}[/tex]

∴ m = [tex]\frac{-8}{-4+6}[/tex]

∴ m = [tex]\frac{-8}{2}[/tex]

∴ m = -4

∴ The slope of the given line is -4

Answer:

its is (b) turns the oven on

Answer:

D

Step-by-step explanation:

I did the test

Answer:

f(5)=3(5)+2 = 17

Step-by-step explanation:

Answer:

#11) D) x<0 or x≥7

Step-by-step explanation:

Hope this helps

Answer:

b

Step-by-step explanation:

Answer:

The correct answer would be the second option y-2=1/3(x-3)

the perimeter of the field is 442

width=w

the length of the field is 9 yards less than quadruple W

L=4x - 9

the perimeter is P=2L+2W

you can plug in the values

P= 2(4w-9) + 2W

plug in 442 for P

442= 2(4w- 9) + 2W

442= 8w - 36 + 2W

478 =8w + 2W

478= 10W

47.8 is your answer!!!

answer:

1/2 bc 2/3-1/6 is equal to 4/6-1/6=3/6.

3/6=1/2

Step-by-step explanation:

love the oikawa pfp

The coefficient of {q} in the sum of the given expressions is 7.

A mathematical expression is a combination of terms both constants and variables. For example, we can write -

2x + 3y + 5

4x + 5

Given are the expressions as -

(23q – 34) and (–16q – r)

We can write the sum of the given expressions as -

(23q – 34) + (–16q – r)

(23q - 16q) - r - 34

7q - r - 34

Here -

(7)q - r - 34

(7) is the coefficient of {q}.

Therefore, the coefficient of {q} in the sum of the given expressions is 7.

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8. x= 7

9. x= 9

10. x= -10

11. x= -18

Answer:

The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).

Step-by-step explanation:

Note: The question contains some error. The question is therefore rewritten before is answered as follows:

A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.

The explanation of the answer is therefore given as follows:

Given;

12n > 135 + 4.50 .................... (1)

Where n represents the number of necklace that must be sold by the artist to make a profit.

Solving for n from equation, we have:

12n > 139.50

n > 139.50 / 12

n > 11.625 ..................... (2)

Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.

When the artist sells 15 necklaces, it implies that n = 15.

Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).

Answer:

f(x)=43

Step-by-step explanation:

you put the 5 in the places where the x is so

F(5)=9(5)-2

45-2=43

If a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that the rectangle has vertices (0,0), (2k,0), and (0,k).

A(0,0)
B(2k,0)

C(0,k)

D(x,y)

Since the opposite of the rectangle is the same it will be opposite to one of the coordinates shown in the graph.

To uniquely identify points on a plane, use ordered pairs and the rectangular coordinate system (x,y). Pairs that are ordered show position in relation to the origin.

The x-coordinate shows the left and right sides of the origin. Y-coordinate positions are above or below the origin.

Thus, if a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

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Answer:

28−7x

i think :]

Answer:

x = 27

STEP BY STEP:

3 = x/9

3 = x/3 x 2

9 x 3 = x

27 = x

x = 27

Hope this helped! Have a good day!

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

30 dollars is the amount of change she will have

Answer:

$30 is the amount of change she will have.

Step-by-step explanation:

Answer:

x = 10.296

y = 5.831

Step-by-step explanation:

You can use the Pythagorean theorem to solve the triangles shown in various ways.

9²+5²=x²

x = 10.296

5²+3²=y²

y = 5.831

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

d-13=5 is actually suppose to be solved liek this:

d - 13 = 5

   +13   +13

The absoulte value of 13 is 13, it is negative so you have to add 13 to get to 0 so it can be cancelled out.

Answer:

x=2x-5

Im pretty sure that's it

Answer:

B .  She is incorrect because when substituting 2 for m the result was a false statement.

Step-by-step explanation:

Edge. 2020

Answer:

B

Step-by-step explanation: