Work out the value of x please

Answer:

Step-by-step explanation:

Similarity property,

" If the two triangles are similar then their corresponding sides will be proportional."

14). If ΔPQR ~ ΔUVW,

     [tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}

     [tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]

     [tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex]  [True}

Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]

15). If ΔFHE ~ ΔDHG,

     [tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]  

     [tex]\frac{24}{6}=\frac{36}{9}[/tex]

     4 = 4

Therefore, ΔFHE ~ ΔDHG [Theorem - AA]

Answer:

Option (1)

Step-by-step explanation:

Diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 to 0.2 cm greater than 1.5 cm.

Let the diameter of the bolt = x cm

Then the value of x will be,

(1.5 - 0.2) cm < x < (1.5 + 0.2) cm

When we plot the possible measures of the diameter of the bolt on a number line,

Measures of x will be between 1.3 cm to 1.7 cm

Option (1) will be the answer.

Answer:

A

Step-by-step explanation:

Its pretty self explainatory, it tells you that the line has to be anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm, so if you look at the graphs A is the only one that maches with what the question in asking.

Answer:

sin NOM = 3/5

Step-by-step explanation:

sin NOM = opposite/ hypotenuse = MN/OM

OM² = 4² + 3² = 25

OM = √25 = 5

sin NOM = MN/OM = 3/5

Answer:

Y = 170, Z = 64.

Step-by-step explanation:

Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.

Answer:

25 x 10^6 in standard form

= 25,000,000

Step-by-step explanation:

brainleist!

Answer:25,000,000

Step-by-step explanation:

Answer:

529 plan

Step-by-step explanation:

The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses

Answer:

529 plan

Step-by-step explanation:

A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

Answer:

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Step-by-step explanation:

For Ash's Train;

Distance travelled d1 = 80km

Time taken t1 = 50 minutes = 5/6 hour

Average speed = distance travelled/time taken

v1 = d1/t1

Substituting the values;

v1 = 80/(5/6)

v1 = 96km/h

For Misty's train;

Total distance travelled d2 = 160 km

Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes

t2 = 2.5 hours

v2 = d2/t2 = 160/2.5

v2 = 64 km/h

the difference, in km/h, between the average speed of their trains is;

∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Answer:

32km/h

Step-by-step explanation:

Answer:

Explanation:

I hope you understand this

To solve the given equation, we will use the addition property of equality.

The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation.

For numbers a, b, and c, if a = b then a + c = b + c.

Given is an equation, x - 5 = -14,

We are asked to identify, that, which property of equality was used to solve this equation,

Solving the equation,

x - 5 = -14

Add 5 to both sides,

x-5+5 = -14+5

x = -9

Since, we used addition, therefore, this property is addition property of equality.

Hence, to solve the given equation, we will use the addition property of equality.

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Answer:3

Step-by-step explanation:

The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.

The answer is 3

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

Answer:

Put the values into the formula....let me know if you need help....

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Sum of the first 9 terms = 9/2 (2a + 8d)

Sum of the first 11 terms = 11/2 (2a + 10d)

S9 = S11

9a + 36d = 11a + 55d

2a = -19d

2a + 19d = 0...........(1)

S20 = 20/2 (2a + 19d)

= 20/2 (0) . .. ............from (1)

S20 = 0

Answer:

Hope it helps:) 18j+10

Step-by-step explanation:

(2)(3j+5+6j)

(2)(3j)+(2)(5)+(2)(6j)

6j+10+12j

18j+10

Answer:

[tex]1 - p[/tex]

Step-by-step explanation:

Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that

[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].

So

[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].

But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.

Answer:

Last option is the correct choice.

Step-by-step explanation:

Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]

Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]

Lines A and B intersect, because their slopes have no relationship.

Best Regards!

Lines A and Line B intersect, because their slopes have no relationship.

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given,

Line A passes through the points (-8, 5) and (-5, 4)

Let

x₁ = -8, y₁ = 5

x₂ = -5, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

m₁ = (4 - 5)/(-5 - (-8))

m₁ = (4 - 5)/(-5 + 8)

m₁ = -1/3

So, the slope of the line A is -1/3

Line B passes through the points (0, 1) and (4, -1).

m₂ = (-1 - 1)/(4 - 0)

m₂ = (-2)/(4)

m₂ = -1/2

So, the slope of the line B is -1/2

Hence, Lines A and Line B intersect, because their slopes have no relationship.

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Answer:

y = -5x

Step-by-step explanation:

Answer:

sequence is 19, 15, 11 ....

so nth term is : -4n+(19+4)

therefore : -4n + 23

Answer:

-4n + 23

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

3 x 44= 132

11 x 12 = 132

Answer:

C)132

Hope this helps

Explanation) LCM(3, 11, 12) = 132

Answer:

The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:

x = 38 + 79 which simplifies to x = 117°.

Answer:

117 degrees

Step-by-step explanation:

38* is one inside angle

to find the other you got to find the rest if you do 180-101 you get 79.

all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117

OK sorry i had it wrong apparently i cant read

Step-by-step explanation:

I think D

But I am not sure

sorry unknowingly I typed option A

Answer:

D

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

h(-5) represents the y value when x is -5.

Answer: A. 94

Step-by-step explanation:

The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.

w=3

l=4

h=5

A=2((3*4)+(5*4)+(5*3))

A=2(12+20+15)

A=2(47)

A=94

Answer:

12

Step-by-step explanation:

The interior angle and exterior angle sum to 180° , thus

exterior angle = 180° - 150° = 30°

The sum of the exterior angles of a polygon = 360° , thus

number of sides = 360° ÷ 30° = 12

Answer:

160 ounces

Step-by-step explanation:

32 ounces x 5=160  ounces

Answer:

the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)

Step-by-step explanation:

Answer:

The median would be 10. The number in between 9 and 11 would be 10

Step-by-step explanation:

The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.

Hope this helped!!!

Answer:

He's wrong, he should have divided both sides by 3

b≤8.66666

Step-by-step explanation:

Answer:

Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2/3, makes the most sense?

Step-by-step explanation:

Answer:

D: The median of Box B is greater than the median of Box A.

Step-by-step explanation:

edg2020

The median of Box B is greater than the median of Box A. Then the correct option is D.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The mean is given as the ratio of the sum of the observation and the number of the observation.

The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.

The mean of Box A will be

⇒ (32 + 32 + 28 + 28 + 28 + 28 + 25 + 25 + 35 + 32) / 10

⇒ 29.3

The mean of Box B will be

⇒ (48 + 20 + 32 + 20 + 32 + 32 + 40 + 20 + 21 + 28) / 10

⇒ 29.3

The median of Box A will be

⇒ 25

The median of Box B will be

⇒ 30

The median of Box B is greater than the median of Box A.

Then the correct option is D.

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Answer:  A) stretched vertically by 2 and shifted up 6 units

Step-by-step explanation:

y = A log(Bx - C) + D    where

Given: f(x) = log x

          g(x) = 2 log x + 6

→ A = 2   vertical stretch by a factor of 2

→ D = +6  vertical shift UP 6 units