If:
JT = 22x +9,
CJ = 62 +4, and
CT = 37,
Find JT.

Answers

Answer 1

jt- 22x+9..

It clearly says JT=22X+9

try 22+9..?


Related Questions

pls help me my homework​

Answers

Answer:

[tex]1.\; \boxed{\sf x=12^o}[/tex]

[tex]\sf 2.\;\boxed{\sf \angle 2=60^o}[/tex]

Step-by-step explanation:

1)

Since ∠1 and ∠ (7x-20) are corresponding angle.

So, ∠1 =∠ (7x-20)

and, ∠1 and ∠(5x+16) are vertically opposite angles.

- - - - -

S0...

[tex]\sf 4x+16=7x-20[/tex]

Subtract 16 from both sides.

[tex]\sf 4x=7x-36[/tex]

Subtract 7x from both sides.

[tex]\sf 4x-7x=7x-36-7x[/tex]

[tex]\sf -3x=-36[/tex]

Divide both sides by -3.

[tex]\sf \cfrac{-3x}{-3}=\cfrac{-36}{-3}[/tex]

[tex]\boxed{\sf x=12^o}[/tex]

- - - - - - - - - - -

2)

∠1 and ∠2 are corresponding angles.

S0,

[tex]\sf \angle 1=\angle 2=\boxed{\sf 60^o}[/tex]

- - - - - - - - - - - - - - - - - -

Additional info:-

Any pair of angles on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.

Vertical angles are angles opposite each other where two lines cross.

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Answer:

x = 12

Step-by-step explanation:

The angles are equal as they are alternate exterior angles.

Solving :

⇒ 4x + 16 = 7x - 20

⇒ 7x - 4x = 16 + 20

⇒ 3x = 36

x = 12

A can has a height of 11cm and a volume of 486cm^3 . Find the radius of each can . Correct to two decimal places

Answers

If the height is 11 cm and the volume is486 cubic cm. Then the radius of the can will be 3.75 cm.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A can has a height of 11 cm and a volume of 486 cubic cm.

Then the radius of the can will be

We know that the volume is given as

Volume = πr²h

     486 = π r² x 11

         r² = 14.06

           r = 3.75 cm

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can anyone solve this step by step
[tex] - 6 \sqrt{243m {}^{4} } n {}^{5} p {}^{2} [/tex]

Answers

Answer:

[tex]-54m^{2} n^{2} p \sqrt{3n}[/tex]

Step-by-step explanation:

solved it using a software. check attachment for all the steps

How many 1-centimeter sugar cubes would be needed to form this rectangular prism?

Answers

Answer:

your question is not complete

I just need the length of the unknown side and why it makes sense

Answers

Answer:

Step-by-step explanation:

According to Pythagorean theorem, the square value of hypotenuse (the side length that sees angle measure 90) is equal to sum of square value of two legs:

let x represent the missing length

x^2 + 3^2 = 7^2

x^2 + 9 = 49 subtract 9 from both sides

x^2 = 40 find the root for both sides

x = [tex]\sqrt{40}[/tex] or 6.3 inches approximately

How many yards is 6 inches

Answers

Answer:  6 inches equals 0.16666667 yards, or about 0.2 yards.

Step-by-step explanation: 1 yard equals 36 inches. By that reasoning, we can divide 6 by 36, since we are trying to find out how many yards are in 6 inches.

6/36 = 0.16666667

The answer is 0.16666667 yards, or about 0.2 yards.

A right circular cone has a base radius of 4 and a height of 6. A right circular cylinder also has a base radius of 4 and a height of 6. Let A be the lateral surface area of the cone, and let B be the lateral surface area of the cylinder. Find A/B.

Answers

Answer:

A/B = 0.6

Step-by-step explanation:

Given dimensions of

Right circular cone: r = 4 and h = 6Right circular cylinder: r = 4 and h = 6

Find the lateral surface area of both figures

The cone[tex]A= \pi r\sqrt{h^2+r^2}=3.14*4\sqrt{6^2+4^2}= 90.57[/tex]The cylinder[tex]B=2\pi rh=2*3.14*4*6 = 150.72[/tex]

Find the ratio A/B

A/B = 90.57/150.72 = 0.6 (rounded0

Elias was given a lock for his school locker. The lock contains numbers between
O and 59 (60 different numbers). If 3 numbers are used to unlock the lock, and
the numbers can't repeat, how many codes can his lock have?

Answers

Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

[tex]\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220[/tex]

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.

How many more pairs of parallel sides does a regular octogon have then a regular hexagon

Answers

Answer:

1 more.

Step-by-step explanation:

A regular octagon has 4 pairs.

A regular hexagon has 3 pairs.

Hope this helped.    :)

A grocery store recently sold 48 cans of soup, 12 of which were minestrone soup. Based on experimental probability, how many of the next 24 cans sold should you expect to be minestrone soup?

Answers

Answer:

75% because the ratio is 1:4 so the probability of the next being minestrone is high.

Answer:

6

Step-by-step explanation:

A car traveled 200 miles on 8 1/2 gallons of gas. How much gas will it take to drive 1 mile?

Answers

Answer:

23 1/2 gallons of gas to travel one mile

Step-by-step explanation:

Given the car can travel 200 miles on 8 1/2 gallons of gas, we divide 200 by 8 1/2.

8 1/2 = 8.50 = 8.5

200/8.5 = 23.5 = 23.52 = 23 1/2

Answer:

17/400 gallons or 0.0425 gallons

Step-by-step explanation:

Take the ratio of the scale and the actual values :

200 miles : 8 1/2 gallons = 1 mile : x gallons200/(8.5) = 1/x400/17 = 1/xx = 17/400 gallons or 0.0425 gallons

misleading graph. help me how to make brand A popular than brand B

Answers

Answer:

  use a scale that starts at 0

Step-by-step explanation:

The graph is misleading because the vertical scale does not start at zero.

__

To better represent the brand relationship, the vertical axis should start at zero. The amounts differ by less than 1/2%, so the bars on that scale would appear to have virtually identical heights.

Can you solve all please

Answers

A) 3
B) 3
C) 3
D) 3
I think those are the first four

Answer:

A) 3

B) 3

C) 3

D) 3

I think those are the first four

Step-by-step explanation:

An online store typically ships packages at a rate of 15 orders every 5 hours. At this rate, how many hours will it take to ship 156 orders?

Answers

Answer:

52 hours

Step-by-step explanation:

figure it out genius

An online store ships 15 orders every 5 hours. It will take approximately 52 hours to ship 156 orders at this rate.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x : y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity is given after combining as x + y.

Given that,

Online store ships packages at a rate of 15 orders every 5 hours.

We need to determine how many hours it will take to ship 156 orders.

The rate can be expressed as 15 orders per 5 hours or 15/5.

To figure this out,

Set up a proportion.

If the online store ships 15 orders every 5 hours,

Then the rate is 15 orders per 5 hours, or 15/5.

Now, let's set up the proportion:

15/5 = 156/x

To solve for x, cross multiply:

15x = 5(156)

Now, divide both sides of the equation by 15 to isolate x:

x =780/15

Calculating that out, x is equal to 52.

Hence, it will take approximately 52 hours to ship 156 orders at the given rate.

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find the missing angles​

Answers

Answer:

the missing angles are 47,° 77,° 56°

Step-by-step explanation:

(133)+(x+13)= 180° (angles on a straight line)

133+x+13= 180°

146+x= 180°

X= 180-146

X= 34°

FOR ANGLE A

2X+9= 2(34)+9= 68+9= 77°

FOR ANGLE C

X+13= 34+13= 47°

FOR ANGLE B

47+77+Y= 180 (SUM OF ANGLES IN A TRIANGLE)

124+Y= 180

Y= 180-124= 56°

Y= 56°

the missing angles are 47,° 77,° 56°

If you divide a number by 8, the answer is
20. What is the number?

Answers

Answer:

160

Step-by-step explanation:

160 divided 8 =20

Answer:

The answer is 160

Step-by-step explanation:

Let the unknown number be x.

x/8=20

x and 8 are linked by a division so if 8 crossed the equality sign it becomes multiplication. So we'll have

x=20*8

x=160

Therefore x is equal to 160.

LET'S CHECK IF IT'S CORRECT

160/8=20

Write 8.6 x 10^-9 in Standard Form

Please help :)

Answers

Answer:

8.6 × 10-9

Step-by-step explanation:

Eight crore thirty four lakh twenty two thousand fifty seven

Answers

Answer: Number = 8,34,22,057

Mrs. Smith gave two classes the same quiz. She randomly selected 5 students from each class to compare the classes. The scores of the five students are shown below.


Class A: 80, 82, 74, 92, 94


Class B: 82, 80, 88, 86, 82


What are the mean and range for each class?
Using the information found in Part A, which class could Mrs. Smith report had the more consistent performance on the unit test? Explain what this means in terms of the situation.

Answers

Answer:

class B because every scores range is withing 6 or less

Answer:

See below ~

Step-by-step explanation:

Class A :

Mean = 80 + 82 + 74 + 92 + 94 / 5Mean = 422/5Mean = 84.4

Range = Highest score - Lowest scoreRange = 94 - 74Range = 20

Class B :

Mean = 82 + 80 + 88 + 86 + 82 / 5Mean = 418/2Mean = 83.6

Range = Highest - LowestRange = 88 - 80Range = 8

Class B had the more consistent performance because the range of scores is significantly less. This means that the students in Class B were more prepared than Class A for a quiz.

.
A baseball coach draws names to decide who will be the first player at bat There are 5 girls and 10 boys on the team Describe and explain the probability of each outcome

a. The first batter is a girl

b. The first batter is a boy

Answers

Using the probability concept, it is found that:

a) P(girl) = 1/3, which means that 1/3 = 33% of the time, the first batter will be a girl.

b) P(boy) = 2/3, which means that 2/3 = 67% of the time, the first batter will be a boy.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, in a total of 15 people, 5 are girls and 10 are boys, hence:

P(girl) = 5/15 = 1/3.P(boy) = 10/15 = 2/3.

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Help me please help me

Answers

Answer:

g= 8/21

Step-by-step explanation:

[tex]g=\frac{5}{7} -\frac{1}{3} \\g=\frac{15}{21} -\frac{7}{21} \\g=\frac{8}{21}[/tex]

I just need the equation. please help me find it ​

Answers

Answer:

y=5x

Step-by-step explanation:

As you can see for the numbers of minutes on the graph, it goes 2,4,6 and on. If you look at the miles you can see the numbers that connect with the numbers of minutes. You can see a pattern. If you multiple 2 x 5 you get 10, if you multiply 4 x 5 you get 20, and etc etc.

Hope this helps <3

Answer:

y = 5x

Step-by-step explanation:

Here :

y = distance covered (in miles)x = time taken (in minutes)

The standard form of an equation :

y = mx + cm = rate of change = slopec = y-intercept (which is 0 in this graph)

Finding m

Change in rise / Change in run10 - 0 / 2 - 010/2m = 5

Equation of the line

y = 5x

A motorboat travels 82 miles in 2 hours going upstream. It travels 106 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current

Answers

let's recall d = rt, or namely distance = rate * time.

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&82&b-c&2\\ Downstream&106&b+c&2 \end{array}\hspace{5em} \begin{cases} 82=(b-c)2\\\\ 106=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{82=(b-c)2}\implies \cfrac{82}{2}=b-c\implies 41=b-c\implies \boxed{41+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{106[~(41+c)+c~]2}\implies \cfrac{106}{2}=41+2c\implies 53=41+2c \\\\\\ 12=2c\implies \cfrac{12}{2}=c\implies \blacksquare~~ 6=c ~~\blacksquare~\hfill \blacksquare~~ \stackrel{41~~ + ~~6}{47=b} ~~\blacksquare[/tex]

(x - 2)^2/36-(y+1)^2/64=1The vertices for the hyperbola are (2,5) and (2,-7) true or false​

Answers

Answer: False

Step-by-step explanation:

I checked with a graphing app huhu... sorry TT

The vertices are (8, -1) , (-4, -1).

simplify
[tex]\sqrt{29-12\sqrt{5} }[/tex]

Answers

Answer:

[tex] \sqrt{29-12\sqrt{5} }[/tex]

[tex]\sqrt{9 - 12 \sqrt{5} + 4 \times 5}[/tex]

[tex]\sqrt{ {3}^{2} - 12 \sqrt{5} + {(2 \sqrt{5}) }^{2} }[/tex]

[tex]\sqrt{{(3 - 2 \sqrt{5} )}^{2}}[/tex]

[tex]{(3 - 2 \sqrt{5} )}[/tex]

Keyshawn buys 100 baseball cards to start a collection. He purchases 25 more baseball cards
each week. Which equation could be used to represent the number of baseball cards (b) in
Keyshawn's collection after w weeks?
A. w = 25b + 100
B. w = 100b+25
C. b = 25w + 100
D. b = 100w + 25

Answers

Answer:

C. b = 25w + 100

Step-by-step explanation:

Keyshawn starts off with 100 baseball cards. Each week he buys 25 more baseball cards. Given this we want to find an equation that would represent the number of baseball cards (represented by "b") he would have after a number of weeks (represented by "w")

We know that keyshawn buys 25 baseball cards weekly so the number of baseball cards purchased after w weeks can be represented by 25w.

We also know that he started of with 100 baseball cards so the total amount of baseball cards keyshawn has (b) can be represented by the expression b = 25w + 100

Find the domain and range of f^-1 given f(x)=1/4-9x 

Answers

A *function* (f) takes in some *input* (x) and transforms it into an *output* (f(x)). An *inverse function* (f^-1) goes the other way around. You can feed it in an *output* of f and get back the original input (f^-1(f(x)) = x). In practice, we find this inverse function by solving for the input of the original function. See the picture for the work!

determine if the shape is a polyhedron using eulers formula​

Answers

Answer:

Yes

Step-by-step explanation:

Euler's Formula for Polyhedrons :

Faces + Vertices = Edges + 2

Given :

Vertices = 12Edges = 18Faces = 8

Verifying using Euler's Formula :

F + V = E + 2(8) + (12) = (18) + 220 = 20It is a polyhedron

The given shape is a polyhedron using the Euler's formula.

What is Polyhedron?

Polyhedron is defined as the three dimensional shape which consists of flat shapes which are polygons.

Cubes, pyramids are all polyhedrons.

Euler's formula for polyhedron states that,

V - E + F = 2

where V, E and F are the number of vertices, number of edges and the number of faces respectively.

For the given polyhedron,

Number of vertices, V = 6 + 6 = 12

Number of edges, E = 6 + 6 + 6 = 18

Number of faces, F = 1 + 6 + 1 = 8

So, V - E + F = 12 - 18 + 8 = -6 + 8 = 2

Hence the given shape is a polyhedron.

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x2 + 3x + 1 = 5. know the answer but need to understand how?

Answers

Answer:

[tex]x=-4,\: x=1[/tex]

Step-by-step explanation:

[tex]x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1[/tex]

Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.

LAST CHANCE FOR TONS OF POINTS!!!!!!! AND BRAINLIEST!!!
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?

Answers

Answer:

6

Step-by-step explanation:

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