What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
Oy= 4x + 33
Oy=*x + 36
O y = 4x - 16
O y = 4x + 16

Answer:

  it would miss the point

Step-by-step explanation:

If the compass point were placed randomly on the line and arcs drawn, you might get a perpendicular by connecting the points where the arcs intersect, but it is not guaranteed to go through the desired point.

Answer:

  7.  ∠CBD = 100°

  8.  ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°

Step-by-step explanation:

7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.

Then the congruent base angles of isosceles triangle ABC will be ...

  ∠B = ∠C = (180° -20°)/2 = 80°

The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...

  ∠CBD = 180° -80°

  ∠CBD = 100°

__

8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:

  ∠CBD = ∠BCE = 100°

  ∠CED = ∠BDE = 80°

Answer:

x = 8.5

Step-by-step explanation:

In this question, we are to calculate the value of x.

To calculate this, we shall be utilizing one of the important properties of parallelogram.

This property is that opposite angles of a parallelogram are equal.

This means that mQSR = mSPQ = 4x + 90

Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.

This means that they add up to be 180

Since mQSR faces mQRS

This means that;

4x + 90 + 9x -20 = 180

13x + 70 = 180

13x = 110

x = 110/13 which is approximately 8.5

Answer:

180 ml oil

240 g onions

1.35 kg potatoes

1.8 l milk

Step-by-step explanation:

The recipe makes 6 portions and you need 18 portions. Since 6 is 3 times smaller than what you need, just times everything you've been given by 3.

*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.

1) 60 x 3 = 180 ml

2) 80 x 3 = 240 g

3) 450 x 3 = 1350 g

They want it in kilograms, so divide it by 1,000 to convert. this gives you 1.35 kg.

4) 600 x 3 = 1800 ml

They want it in l, so divide it by 1,000 to convert. this gives you 1.8 l.

Hope this helped : )

Answer:

8

Step-by-step explanation:

2×2×2=8

Answer:

8

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Here in this question, we are to estimate the experimental probability.

Now, to estimate the experimental probability, we shall be looking at previous attempts.

Thus, the probability that he would hit his next target would be; number of previous hits/number of total trials

From the question, number of previous hits were 10 and the number of total trials = 30

The probability he is hitting the next ball is thus 10/30 = 1/3

Answer:

2.195%

Step-by-step explanation:

Assuming that both planets are a sphere, we have to:

26590 * 28% = 7445.2

7445.2 miles would be the diameter of the moon, now to calculate the volume, we know that the radius is half the diameter, so:

r2 = d2 / 2 = 7445.2 / 2 = 3722.6

and the radius of the planet would be:

r1 = d1 / 2 = 26590/2 = 13295

now the volume of the planet we know is equal to:

v1 = 4/3 * pi * r1 ^ 3

and the volume of the moon would be:

v2 = 4/3 * pi * r2 ^ 3

We want to calculate the percentage by volume, therefore:

v2 / v1 = 4/3 * pi * r2 ^ 3 / 4/3 * pi * r1 ^ 3

v2 / v1 = 3722.6 ^ 3/13295 ^ 3

v2 / v1 = 0.021952

that is, the volume of the moon represents 2.195%

Answer:

1,800/7,200 as a percentage is 1/4 which is 25%.

Answer: 25%.

Step-by-step explanation:

because 1,800/7,200 as a simplyfly fraction

will be 1/4 and if you make it in persant it will be 25%

Hope this helps :)

Answer:

12+(t÷7)=V is the answer

Step-by-step explanation:

Answer

Answer:

y = -x + 3

Step-by-step explanation:

Slope intercept form is the form y = mx+b where m is the slope and b is the y intercept

Plugging in the values we get y=-x+3

Answer:

y = - x + 3

Step-by-step explanation:

y = mx + b

Slope m = -1.

y = - x + b

Point (0,3).

3 = 0 + b

b = 3

y = - x + 3

Answer:

N/2 + 7 = 2N - 5

N + 14 = 4N - 10

24 = 3N

N = 8

Answer:

1/2n + 7 = 2n - 5

2 · 1/2n + 7 · 2 = 2n · 2 - 5 · 2

n + 14 = 4n - 10

n - n + 14 = 4n - n - 10

14 = 3n - 10

14 + 10 = 3n - 10 + 10

24 = 3n

24 / 3 = 3n / 3

n = 8

Step-by-step explanation:

Answer:

441

Step-by-step explanation:

x^2 + 42x + c

Take the coefficient of x

42

Divide by 2

42/2 = 21

Square it

21^2 =441

This is the value of c

Answer:

33% or with 10th place decimal 33.3%

Step-by-step explanation:

1/3 has a continuous decimal form of .333333...

So, it is usually rounded to .33

Hope this helps!

Answer: 33.33%

Step-by-step explanation:

Answer:

(1,3) maximum

Step-by-step explanation:

As you can see from the graph the tip of the parabola is the vertex which is at the point (1,3) which is a maximum because it is the tallest point on the graph.

Answer:

Triangle C and Triangle D

Step-by-step explanation:

If you look closely at all of the different triangles, you can see that there are two pairs of congruent triangles.

Triangle A and Triangle E are congruent, both being right triangles and approximately the same size.

Triangle B and Triangle F are congruent, as both of them are isosceles triangles, and again, the same size.

The two that remain, Triangles C and D, are both scalene triangles, but they are not congruent to one another. Triangle C clearly has a smaller obtuse angle than Triangle D.

Hope this helps!

Answer:

[tex]26cm[/tex]

Answer D is correct

Step-by-step explanation:

[tex]l = \sqrt{ {r}^{2} + {h}^{2} } \\ = \sqrt{{10}^{2} + {24}^{2} } \\ = 26 \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: bjehdfgufgudhj

Step-by-step explanation:

Answer:

96 sq yards

Step-by-step explanation:

40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area

Answer:

55°

Step-by-step explanation:

In circle with center O, OA and OB are radii and PA and PB are tangents drawn from external point P.

Since, tangent is perpendicular to the radius of the circle.

[tex] \therefore m\angle PAO = m\angle PBO = 90°\\

m\angle APB = 70°....(GIVEN) \\[/tex]

In quadrilateral PAOB,

[tex] m\angle PAO + m\angle PBO+ m\angle APB \\+m\angle AOB = 360°\\

\therefore 90° + 90° + 70° +m\angle AOB = 360°\\

\therefore 250° +m\angle AOB = 360°\\

\therefore m\angle AOB = 360°- 250°\\

\huge \purple {\boxed {\therefore m\angle AOB = 110°}} \\[/tex]

Since, angle subtended at the circumference of the circle is half of the angle subtended at the centre of the circle.

[tex] \therefore m\angle ACB = \frac {1}{2} \times m\angle AOB\\\\

\therefore m\angle ACB = \frac {1}{2} \times 110°\\\\

\huge \orange {\boxed {\therefore m\angle ACB = 55°}} [/tex]

Answer:

  b.  b = 15.0, A = 113.2°, C = 300°

Step-by-step explanation:

The given sides are either side of the given angle, so the Law of Cosines can be used to find the unknown side.

  b² = a² +c² -2ac·cos(B)

  b² = 23² +12.5² -2(23)(12.5)cos(36.8°) = 224.829

  b = √224.829 = 14.99 ≈ 15.0 . . . . . matches choice B

__

For the purpose of selecting the correct multiple-choice answer, this is sufficient working.

__

If you want to find the remaining angles, you can use the law of sines to find one of them. The smallest angle* will be ...

  sin(C)/c = sin(B)/b

  C = arcsin(c/b·sin(B)) = arcsin(12.5/14.9942·sin(36.8°)) ≈ 30.0°

Then angle A can be found from the sum of angles in a triangle:

  A = 180° -36.8° -30° = 113.2° . . . . . also matches choice B

_____

* We choose to find the smallest angle because the largest one may be more than 90°. The Law of Sines is ambiguous in that case. Finding the smaller angle first resolves the ambiguity immediately.

Answer:

12000 x 0.015 = 180

12000 + 180 = 12180

12180 x 0.015 = 182.7

12180 + 182.7 = 12362.7

$12,362.7

Hope this helps

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The measure of the angle is 48 degrees and the triangle BCD is isosceles.

What is a Circle?

A circle is a round-shaped figure with all the points on one plane, the distance between the center and all the points on the circumference is the same.

Thre arc mBC inscribes angle BDC

According to the theorem, the angle made by the arc on the center is double that made at the circumference.

mBDC = (1/2) * mBC

mBDC = (1/2) * 118 = 59°

It is also known from the secant theorem that, the angle made by the two secants is equal to half of the angle inscribing the arc.

mA = (1/2) * (mBC - mDE)

35 = (1/2) * (118 - mDE)

70 = 118 - mDE

The measure of DE = 48°

The sum of all the arcs in a circle is 360°

So,

mBC + mCD + mDE + mBE = 360

mCD = 360 - 118 - 48 - 76 = 118°

The angle CBD is inscribed by the arc mCD

mCBD = (1/2) * mCD = (1/2) * 118 = 59°

The angles CBD and BDC are equal, so the triangle is isosceles.

To know more about Circle

https://brainly.com/question/11833983

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Answer:

EF, FG, AB and BC are perpendicular to BF.

Step-by-step explanation:

In the figure attached, a rectangular prism has been given.

Line BF is contained in the face BCGF of the prism.

Therefore, all the faces perpendicular to the face given are,

ABFE, EFGH, ABCD and CGHD.

But the line segments contained in these faces and perpendicular to the line segment BF are EF, FG, AB and BC.

Therefore, answer is the line segments EF, FG, AB and BC are perpendicular to BF.

Line segments perpendicular to BF are:

GF, EF, AB, and CB

Perpendicular lines are the two distinct lines that intersect at each other at 90°. A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square.

Given,

In figure ABCDEFGH is a rectangular prism

BF is an edge of the prism

All faces of the rectangular prism are perpendicular to each other

Face EFGH is perpendicular to face BCGF

⇒ GF⊥BF and EF⊥BF

Face ABCD is perpendicular to face BCGF

⇒ AB⊥BF and CB⊥BF

Hence, line segments GF, EF, AB, and CB are perpendicular to BF.

Learn more about perpendicular here:

https://brainly.com/question/11707949

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Answer:

1)

c.

18,700

2)

a.

46,900

3)

a.

84,500

4)

a.

12,000

Step-by-step explanation:

1) 1 mile = 5280 ft.

Area of both sides = 5280 ft × 8 ft × 2 sides = 84480 ft²

Since 1 person for each 4.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{4.5}[/tex]

the size of a crowd = [tex]\frac{1}{4.5} *84480=18773.33[/tex] ≈ 18700

2) 1 mile = 5280 ft, therefore 2 mile = 10560 ft (5280 × 2)

Area of both sides = 10560 ft × 10 ft × 2 sides = 211200 ft²

Since 1 person for each 4.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{4.5}[/tex]

the size of a crowd = [tex]\frac{1}{4.5} *211200=46933.33[/tex] ≈ 46900

3) 1 mile = 5280 ft, therefore 2 mile = 10560 ft (5280 × 2)

Area of both sides = 10560 ft × 10 ft × 2 sides = 211200 ft²

Since 1 person for each 2.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{2.5}[/tex]

the size of a crowd = [tex]\frac{1}{2.5} *211200=84400[/tex] ≈ 84500

4) 1 yard = 3 ft, therefore 100 yard = 300 ft (100 × 3)

Area of both sides = 300 ft × 50 ft × 2 sides = 30000 ft²

Since 1 person for each 2.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{2.5}[/tex]

the size of a crowd = [tex]\frac{1}{2.5} *30000=12000[/tex]

Answer:

Yes the equation is a linear one because it is an equation for a straight line.

Step-by-step explanation:

Answer:

Yes. Read below for explanation.

Step-by-step explanation:

y=3x+1 is in-fact linear. It is not a function though as it's y-intercept is 1 not 0. If you graphed this on a graphing calculator such as Desmos, it would create a line. It also uses slope-point formula which definitely makes it a line.

Answer:

A handyman need 34 rows of 18 tiles.

How many total tiles does he need?

lets start off by saying that each row has 18 tiles

and there are supposed to be 34 rows

so you can multiply the number of tiles in each row (18) by the number of rows (34)

34 x 18 = 612

the handyman needs a total of 612 tiles to cover the floor.

plz hit the thx button and plz mark me brainliest if this helped :)

Answer:

The rate of each train is 74 miles per hour and 90 miles per hour respectively.

Step-by-step explanation:

Given;

distance between the two trains, d = 492 miles

total time traveled by each train before meeting the other, t = 3 hours

Let the speed for the first train = p

Let the speed for the second train = q

Assuming the first train is 16 mph slower than the second train, then;

q = p + 16

Distance = speed x time

492 miles = (p + q) x 3

492 = 3p + 3q

but, q = p + 16

492 = 3p + 3(p + 16)

492 = 3p + 3p + 48

492 - 48 = 6p

444 = 6p

p = 444 / 6

p = 74 miles per hour

q = 74 + 16

q = 90 miles per hour

Therefore, the rate of each train is 74 miles per hour and 90 miles per hour respectively.