Given the figure below, find the values of x and z.
(7x + 61)
(15x – 35)
Х
Z

Answer:

165°

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Answer:

20 miles :)

Step-by-step explanation:

Pythagorean theorem formula: 16^2 + 12^2 = c^2

256 + 144 = c^2

400

[tex]\sqrt{400}[/tex] = 20

C = 20

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Answer:

1.5

Step-by-step explanation:

9 times 4 = 36

1.5 times 4 = 6

If x = 9 when y = 36 and x is directly proportional to y, then x will be 1.5, when y = 6.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

We know that

36 / 9 = 6 /x

Cross multiply;

36 · x = 9 · 6

Simplify;

36x = 54

Divide each side by 36;

36x ÷ 36 = 54 ÷ 36

Simplify;

x = 1.5

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The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

m = (280 - 140)/ (4 - 2) = 70

The equation of the line from the graph.

y = 70x

The heart's resting heart rate is 70 beats per minute.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates are from the given graph.

(1, 70), (2, 140), (3, 210), and (4, 280)

Now,

m = (280 - 140)/ (4 - 2) = 140/2 = 70

The equation from the graph can be written as,

y = mx + c

(1, 70) = (x, y)

70 = 70 x 1 + c

c = 70 - 70

c = 0

So,

The equation of the line from the graph.

y = 70x

1 minute = 70 heartbeats.

The heart's resting heart rate is 70 beats per minute.

Thus,

m = (280 - 140)/ (4 - 2) = 140/2 = 70

The equation of the line from the graph.

y = 70x

The heart's resting heart rate is 70 beats per minute.

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Answer:

d. $1162.50

Step-by-step explanation:

485 ÷ 2 = 242.50

1150 = 5/5 (100%)

÷ 5

230 = 1/5 (20%)

× 4

920 = 4/5

920 + 242.5 = $1162.50

Answer:

Adam's share is £590

Step-by-step explanation:

Given

Return Ticket = £1460

Accommodation = £720

Car Hire = £180

Required

Determine Adam's share

First, we need to determine the total cost.

Total = Return Ticket + Accommodation + Car Hire

Total = £1460 + £720 + £180

Total = £2360

Next, is to determine the average.

[tex]Average = Total/4[/tex]

[tex]Average = 2360/4[/tex]

[tex]Average = 590[/tex]

Hence;

Adam's share is £590

Answer:

Approximately [tex]58.2\; \text{nautical miles}[/tex] (assuming that the bearing is [tex]{\rm S$29^{\circ}$W}[/tex].)

Step-by-step explanation:

Let [tex]v[/tex] denote the speed of the ship, and let [tex]t[/tex] denote the duration of the trip. The magnitude of the displacement of this ship would be [tex]v\, t[/tex].

Refer to the diagram attached. The direction [tex]{\rm S$29^{\circ}$W}[/tex] means [tex]29^{\circ}[/tex] west of south. Thus, start with the south direction and turn towards west (clockwise) by [tex]29^{\circ}[/tex] to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of [tex]v\, t[/tex]. The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly [tex]29^{\circ}[/tex].

Since the hypotenuse is of length [tex]v\, t[/tex], the dashed line segment opposite to the [tex]\theta = 29^{\circ}[/tex] vertex would have a length of:

[tex]\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}[/tex].

Substitute in [tex]\begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned}[/tex] and [tex]t = 6\; \text{hour}[/tex]:

[tex]\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}[/tex].

Answer:

6/14

Step-by-step explanation:

There are 14 marbles in total.

Out of the 14 marbles, 6 are blue.

Answer:

7

Step-by-step explanation:

63-56 = 7

Answer:

ED: 6.5 cm BE = 14.4 cm

Step-by-step explanation:

Add 20 and 5 to get side AC.

25/20 gives us the scale factor to go from 25 triangle ABE to triangle ACD.

Multiply 26 by the SF to get AD.

Subtract length of AD by AE to get ED. You should get 6.5 cm (don't forget units!!!!)

To go from triangle ACD to triangle ABE, we can do 20/25 to get the scale factor.

Using that number, multiply it with 18 to get BE.

The answer should be 14.4 cm.

This is possible because the two triangles ACD and ABE are similar via the angle angle angle similarity theorem depicted in my screenshot.

Answer:

ED = 6.5 cm , BE = 14.4 cm

Step-by-step explanation:

Δ ABE and Δ ACD are similar ( by the AA postulate ) then the ratios of corresponding sides are in proportion, that is

(a)

[tex]\frac{AD}{AE}[/tex] = [tex]\frac{AC}{AB}[/tex] ( substitute values )

[tex]\frac{AD}{26}[/tex] = [tex]\frac{25}{20}[/tex] ( cross- multiply )

20 AD = 650 ( divide both sides by 20 )

AD = 32.5

Then

ED = AD - AE = 32.5 - 26 = 6.5 cm

(b)

[tex]\frac{BE}{CD}[/tex] = [tex]\frac{AB}{AC}[/tex] ( substitute values )

[tex]\frac{BE}{18}[/tex] = [tex]\frac{20}{25}[/tex] ( cross- multiply )

25 BE = 360 ( divide both sides by 25 )

BE = 14.4 cm

Answer:

4c=12

Step-by-step explanation:

In the chart, it shows 12 and 4 c. Since they equal the same thing, the equation is 4c=12.

Answer:

y = -12

Step-by-step explanation:

Plug the value of x (-4) into the original equation and solve:

y = 3(-4)

y = -12

Answer:

ROTATION IS THE CORRECT ANSWER!

Step-by-step explanation:

Cuz

Answer:

rotation is correct! :))

Step-by-step explanation:

bc when i clicked rotation, the answer was valid and correct.

Answer:

The interest is 4,500

Step-by-step explanation:

We use the simple interest formula,

I = Prt

where

I = interest

P = principal amount = 12,500

r = interest rate = 12% = 0.12

t = time = 3 years

I = Prt

I = 12,500 × 0.12 × 3

I = 4,500

Answer:

Undefined

Step-by-step explanation:

It is undefined because the x value equals multiple y values so the slope is undefined :)

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Answer: Choice B

Undefined

Reason:

Vertical lines always have undefined slopes.

This is because slope = rise/run, but run = 0 for vertical lines. The "run" describes how much the line moves to the right, but such a thing doesn't happen since it's stuck on one x value only.

So we could have something like slope = rise/run = 1/0 = undefined. Dividing over zero is not allowed.

Answer: to find the answer you need to

Step-by-step explanation:

Create a table with headings n and an where n denotes the set of consecutive positive integers, and an represents the term corresponding to the positive integers. You may pick only the first five terms of the sequence. For example, tabulate the series 5, 10, 15, 20, 25, . . .

Solve the first common difference of a. Consider the solution as a tree diagram. There are two conditions for this step. This process applies only to sequences whose nature are either linear or quadratic.Condition 1: If the first common difference is a constant, use the linear equation ax + b = 0 in finding the general term of the sequence.

And yeah

Answer:

we find first slope

m=(-5+1)/(0+5)

m=-4/5

y-y1=m(x-x1)

y+ 5=(-4/5)(x-0)

5y+25=-4x

so equation is. 4x+5y+25=0

Answer:

y=[tex]-\frac{4}{5}[/tex]x-5

Step-by-step explanation:

The coordinates (0,-5) tells us the y intercept of the line, which is -5.

To find the equation of the line, we  have to use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex] to find the slope of the line. Plug in the values of the other coordinates (-5,-1) into the equation, which would then leave you with :

m=[tex]\frac{(-1)-(-5)}{(-5)-0}[/tex]

we then solve for m(the slope) and we get:

m=[tex]-\frac{4}{5}[/tex]

so the equation of the line is y=[tex]-\frac{4}{5}[/tex]x-5

Answer:

3/36 and 7/36

Step-by-step explanation:

The new fractions with common denominator are 27/36 and 28/36

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, rewrite 3/4 and 7/9 so that they have a common denominator.

To make their denominator common, multiply, the first fraction by 9 and second denominator by 4,

Then,

3×9/4×9 = 27/36

7×4/9×4 = 28/36

Hence, the new fractions with common denominator are 27/36 and 28/36

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Answer:

74

Step-by-step explanaction

Formula=multiply the length value by 10

Answer is attached

Which grade you in btw?

Answer:

2 cans of paint

Step-by-step explanation:

Surface area of an open cylinder = [tex]2\pi rh[/tex]

(where r is the radius and h is the height)

⇒ SA = 2 × [tex]\pi[/tex] × (15 ÷ 2) × 10 = 150[tex]\pi[/tex] ft²

Surface area of an open cone = [tex]\pi r\sqrt{h^2+r^2}[/tex]

(where r is the radius and h is the height)

⇒ SA = [tex]\pi[/tex] × (15 ÷ 2) × √(4² + 7.5²) = 63.75[tex]\pi[/tex] ft²

Total surface area = 150[tex]\pi[/tex] + 63.75[tex]\pi[/tex] = 213.75[tex]\pi[/tex] = 671.52 ft² (nearest hundredth)

If one can of paint covers approx. 400 ft² then 2 cans of paint needed to cover 671.52 ft²

Answer:

theres four lines of symmetry goes up, side, and both diagonal ways

Step-by-step explanation:

Answer:-87

Step-by-step explanation

-24.91 times 3 1/2 equals -87

The change in height after 3 and 1/2 seconds will be 87 meter.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that remote-control airplane is descending at a rate of 24.91 meters per second.

We need to multiply the rate and height will be;

-24.91 x 7/2 = -87 m

Hence, the change in height after 3 and 1/2 seconds will be 87 meter.

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Answer:

x=10

Step-by-step explanation:

Since the two given expressions are alternate interior angles ( as a result of the parallel line, which are indicated by the arrows on the two lines going through the middle line, the transversal) you can set them equal to each other.

5x-10 = 3x+10

add 10 on both sides

5x = 3x + 20

subtract 3x on both sides

2x=20

divide by 2 on both sides

x=10

Answer:

10=x

40 degrees for both

Step-by-step explanation:

3x+10=5x-10

3x+20=5x

20=2x

10=x

3(10)+10=40

5(10)-10=40

Answer:

Today: Monday, 12 October 2020

Hour: 17.31 WIB (in Indonesian)

_________________________

2⁴ × 2⁵ - (2²)²

= 2⁹ - 2⁴

= 512 - 16

= 496

Answer:

52°

Step-by-step explanation:

complementary angles sum to 90° , then the measure of the other angle is

90° - 38° = 52°

Answer:

Plug in a = x, b = 16, c = 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

19-12=7x3=21