Simplify the left side of the equation.
(x + 10) + (4y - x - 10) = 180°
4y = 180°
y= 45°
Combine like terms.
Divide both sides by 4.
Therefore, x = 14 and y = 45.
Now find the measure of each angle. First, find the measure of ZBMQ. To do so, substitute the
value of x into the expression (x + 10)° and simplify.
(x + 10) = (14+ 10) Substitute.
Add.
Help

Given:

The date set for the number of public libraries in each of 14 cities is:

4, 5, 4, 6, 5, 6, 5, 8, 5, 4, 6, 6, 7, 4

To find:

The modes of this data set.

Solution:

We know that, the mode of a data is the most frequent value of data set.

Arrange the given data in ascending order.

4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8

In the given data set,

Frequency of 4 = 4

Frequency of 5 = 4

Frequency of 6 = 4

Frequency of 7 = 1

Frequency of 8 = 1

Clearly, the data values 4, 5, 6 have the largest frequency, i.e., 4.

Therefore, the modes of the given data set are 4, 5, 6.

Answer:

a

Step-by-step explanation:

Answer:

risk-adverse

Step-by-step explanation:

The term risk-averse describes the investor who chooses the preservation of capital over the potential for a higher-than-average return.

Answer:

85.72 is ur answer...

Hope it helps!!!

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27528 ft^3

Explanation:

24 x 31 x 37 = 27528

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

g(x) = 2e - 5

Step-by-step explanation:

f(x) = e

2 f(x) = 2e : vertical stretch by a factor 2

2 f(x) - 5 : transition 5 units down

g(x) = 2 f(x) - 5 = 2e - 5

Answer:

5:8

Step-by-step explanation:

water - 5 points

Rice - 3 points

total (rice + water) = 8 points.

Water:Total

5:8

Answer:

$320

Step-by-step explanation:

Answer:

∠ZB = 54°

Step-by-step explanation:

Given:

Pair of complementary angles

∠ZA = (2x + 10)° and m

∠ZB = (3x + 15)

Find:

Measure of ∠ZB

Computation:

complementary angles

a + b = 90°

∠ZA + ∠ZB = 90°

(2x + 10) + (3x + 15) = 90

5x + 25 = 90

x = 13

So,

∠ZB = (3x + 15)

∠ZB = 13(3) + 15

∠ZB = 54°

Answer:

12÷2=6

100÷1=100

Step-by-step explanation:

Answer: 6 and 1

Answer:

6

100

Step-by-step explanation:

in division:

12÷2=6

100÷1=100

Answer:

The correct option is;

Geometric constructions require the following tools;

A protractor, a straightedge, and a pencil

Step-by-step explanation:

The question relates to the tools required for a geometric construction. From the question options, the complete set  of tools with which a geometric construction is made comprises of the following

1) A protractor, which is used for angle measurements

2) A straightedge, which is used to draw lines which are straight or for checking the straightness of a line

3) A pencil, which is made up of a graphite stick reinforced by an enclosure of wood or other material, is used for creating visible marks of drawings or writing on paper or some other writing materials by physical abrasion

A compass is used for navigation of the geographic cardinal directions and comprises of a magnet.

Answer:

Answer is compass, straightedge, and a pencil

Step-by-step explanation

have a nice day :)

Answer:

24

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices

There are different types of triangles. They include :

Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²

1500+5%= 1505 that is the answer I got I hope this was helpful

Answer:

Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg

What in the flipping Jeapordy is this, but anyway:

1) Simran needs a 65% to score an 80 test average

2) The length is 13 centimeters

3) Jake purchased 4 gadgets

4) 100 candles would need to be sold

5) You bought 3 drinks

Answer:

Step-by-step explanation:

miss girl you need homework plugs sorry queen have a good day

Answer:

y = x - 1

Step-by-step explanation:

Put it in point-slope form:

y - 0 = 1(x - 1)

y = x - 1

Answer:

I’m pretty sure it’s 5/4

Step-by-step explanation:

Answer:

YW = ZW

Step-by-step explanation:

Answer:

YW=ZW otherwise I don't know

Answer:

5/6

Step-by-step explanation:

(-6 - 4) / (3 * -4)  [substitute a and b]

-10 / -12  [multiply the values in parenthesis]

5 / 6  [simplify by dividing by the common factor 2]

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]

Answer:

Slope = 1

y-intercept = 3

Step-by-step explanation:

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,

Slope = [tex]\frac{3-0}{0-(-3)}[/tex]

Slope = 1

y-intercept of the line = distance between the origin and point of intersection of the line with y-axis

y-intercept = 3

Answer:

y = 2x - 8

Step-by-step explanation:

y = 2x + b

8 = 2(8) + b

8 = 16 + b

-8 = b

check work:

6 = 2(7) - 8

6 = 14-8

6 = 6

it should be correct

[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]

or just (xy+8y+4)/2xy^2 if u can't see the equation

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

Simplify the expression, then we have

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]

⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]

⇒ (20y + 8 + 2xy - 4y) / (4xy²)

⇒ (16y + 2xy + 8) / (4xy²)

⇒ (8y + xy + 4) / (2xy²)

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

perpendicular

Step-by-step explanation:

To determine if AB and CD are  parallel, perpendicular, or neither, we need to get the slope of AB and CD first

Given A (−1, 3), B (0, 5),

Slope Mab = 5-3/0-(-1)

Mab = 2/1

Mab = 2

Slope of AB is 2

Given C (2, 1), D (6, −1)

Slope Mcd = -1-1/6-2

Mcd = -2/4

Mcd = -1/2

Slope of CD is -1/2

Take their product

Mab * Mcd = 2 * -1/2

Mab * Mcd = -1

Since the product of their slope is -1, hence AB and CD are perpendicular