Find x. Round to the nearest tenth if needed.

Answers

Answer 1

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

Answer 2

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

Related Questions

A bicycle is traveling at 14 miles per hour.
How many feet will it cover in 35 seconds?

Answers

Answer:

The answer is 31 how that help

HELPPPPPP MEEEEEE PLEASEEEEEE!!!!!!

Answers

B i think not sure but I’d put b

Matthew went to a amusement park during his summer vacation. He went
with four of his best friends. The admission fee for the park was $10.50. The cost of each ride
ticket is $5.50. His favorite ride was the tilt-O-whirl. Matthew had $36.75 to spend at the
amusement park. How many ride tickets can Matthew buy?

Answers

Answer:

4 rides

Step-by-step explanation:

36.75-10.5= 26.25 cost of admission

26.25 divded by 5.5= 4.7777777

so 4 rides with left over change

Answer:he can buy 4 tickets

Solve -3(5x-9) please

Answers

Answer:

Step-by-step explanation:

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220. What is the probability that the actual expenses will exceed $1560 in 20 or more weeks during the next year?

Answers

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

[tex]P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})[/tex]

[tex]P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})[/tex]

[tex]P(X > 1560) = P(Z > \dfrac{110}{220})[/tex]

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean [tex]\mu_x[/tex] = np = 52 × 0.3085 = 16.042

The standard deviation = [tex]\sqrt {n \time p (1-p)}[/tex]

The standard deviation = [tex]\sqrt {52 \times 0.3085 (1-0.3085)}[/tex]

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

[tex]Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})[/tex]

[tex]Pr ( Y > 20) = P(Z >1 .338)[/tex]

From z tables

P(Y > 20) [tex]\simeq[/tex] 0.0903

Please help it’s due

Answers

1 = 70

2 = 20

3 = 70

4 = 20

5 =110

Help please thank you.

Answers

Answer: pick the third one

Step-by-step explanation:

-4 2/3 x -1 1/2 with work shown pls

Answers

Answer:

Step-by-step explanation:

I need step by step help on how to work out this percentage question

Answers

Answer:

$15.7, $141.3

Step-by-step explanation:

Discount

157*0.1 = $15.7

Sale price

157 - 15.7 = $141.3

1 Which expression is equivalent to 1/3y?
• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)

Answers

Answer:

The answer is 1/6y+1/6(y+12)-2

Answer:

1/6y+1/6(y+12)- 2

Step-by-step explanation:

Distribute [tex]\frac{1}{6}[/tex] through the parentheses : [tex]\frac{1}{6}[/tex]y + [tex]\frac{1}{6}[/tex]y + 2 - 2Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) : [tex]\frac{1}{6}[/tex]y + [tex]\frac{1}{6}[/tex]yCalculate the sum : [tex]\frac{1}{3}[/tex] y

Solution : [tex]\frac{1}{3}[/tex] y

What is the Inverse Point of (1,5)?

Answers

Answer:

The Inverse point of (1,5)=(5,1)

The inverse of (1,5) is (5,1)

Graph the line y=-3/4x+1

Answers

Step-by-step explanation:

That is what your line should look like :)

The equation of line is y = ( -3/4 )x + 1 , where the slope is m = ( -3/4 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = ( -3/4 )x + 1 be equation (1)

On simplifying the equation , we get

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And , the line is plotted in the graph

Hence , the equation of line is y = ( -3/4 )x + 1

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Approximately 1 in 28 people of Ashkenazi Jewish descent are Tay-Sachs carriers. In randomly sampling one man and one woman from this population, what is the probability neither is a Tay-Sachs carrier? What is the probability both are carriers?

Answers

Answer:

a) probability that neither is Tay-Sachs carrier is 0.9298

b) the probability that both are carriers is 0.001276

Step-by-step explanation:

Given that;

1 in 28 people of Ashkenazi jewish descent are Tay-Sachs carrier.

so P(Carrier) = 1/28 =

also P( Not a carrier) = 1 - 1/28 = 0.9643

Now After Sampling 1 man and 1 woman from the population;

the probability neither is Tay-Sachs carrier

P( Neither is a Carrier) = 27/28 × 27/28 = 0.9298

Therefore probability that neither is Tay-Sachs carrier is 0.9298

the probability both are carriers

P( Both are Carriers) = 1/28 × 1/28 = 0.001276

Therefore the probability that both are carriers is 0.001276

Please help ASAP!!
What is the sum of the square root of 676 and square of 24

Answers

Step-by-step explanation:

square root of 676 is equal to 26

square of 24 is equal to 576

576+26 = 602

Step-by-step explanation:

[tex] \sqrt{676 } = 26[/tex]

[tex] {24}^{2} = 576[/tex]

576+26=602

Do the ratios 8/16 and 1/2 form a proportion?

Answers

Answer:

yes

Step-by-step explanation:

They both equal to one half, which makes them proportional

Find an equation of the line described. Write the equation in slope-intercept form when possible. Through (2,9) and (0,0)

Answers

Answer:

y=9/2x

Step-by-step explanation:

I used my notes.

Solve the equation 7 − 2x = 19.

Question 11 options:

x = −13

x = −6

x = 6

x = 13

Answers

Answer:

-6

Step-by-step explanation:

firstly arrange whole equation,

-2x+7=19

Now, Transpose 7 to RHS (right hand side)

-2x=19-7

-2x=12

Further, seperate coefficient -2 from x

and transpose it to RHS and divide them

x=12/-2

Hence, x= -6

A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x^2−6x+9 yd^2.

Area of the flagpole plot: x^2−6x+9

Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x, the length of the base will also involve the variable x.)

The length of the base of the flagpole is

Answers

Answer:

[tex]x-3[/tex]

Step-by-step explanation:

The area of the flagpole base is [tex]x^2-6x+9\ \text{yd}[/tex]

where the factor of the equation is the length of the base.

In order to find the length we need to factorize the equation

[tex]x^2-6x+9[/tex]

[tex]=x^2-3x-3x+9[/tex]

[tex]=x(x-3)-3(x-3)[/tex]

[tex]=(x-3)(x-3)[/tex]

The length of the base of the flagpole is [tex](x-3)\ \text{yd}[/tex].

The area of a square base is the product of the side lengths.

The length of the base is x - 3

The area is given as:

[tex]\mathbf{Area =x^2 - 6x + 9}[/tex]

Expand

[tex]\mathbf{Area =x^2 - 3x - 3x + 9}[/tex]

Factorize

[tex]\mathbf{Area =x( x- 3) - 3(x - 3)}[/tex]

Factor out x - 3

[tex]\mathbf{Area =( x- 3) (x - 3)}[/tex]

Express as squares

[tex]\mathbf{Area =( x- 3)^2}[/tex]

Rewrite the area as:

[tex]\mathbf{Length^2 =( x- 3)^2}[/tex]

Take square roots of both sides

[tex]\mathbf{Length =x- 3}[/tex]

Hence, the length of the base is x - 3

Answers

Answer:

y=0x-5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Please help it’s due

Answers

5 = 60

6 = 150

7 = 30

if you have any more questions let me know

Please help me please and fast

Answers

Answer:

Step-by-step explanation:

sorry if wrong

Which ordered pair is a solution to the equation y=5x-25?
(12,50)
(5,10)
(2,25)
(10,25)

Answers

Answer:

c bye

Step-by-step explanation:

y=5x-25
25=5x10-25

Answer: (10,25)

find each percent increase
from 20 teachers to 30 teachers ___

Answers

20 to 30 is a 10% increase

I thought it was a 50% increase cause half of 20 is 10 and than 20 plus 10 is 30

produstof 2/4 ×1/2 is

Answers

Answer:

1/4

Step-by-step explanation:

2/4 *1/2

(2/4 = 1/2)

1/2 * 1/2

1/4

answer: 1/4
explanation:

what is the correct standard form for 30+2+0.1+0.005

Answers

Answer:

32.105

Step-by-step explanation:

+ 0.1

0.005

32.105 so answer is 32.105

Which choice is equivalent to the expression below √50-√2

Answers

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

When sawdust is poured into a pile, it takes the shape of a cone where the proportion of height to base diameter is always the same. The volume of a cone can be found using the formula 1 V = ar-h, where r is the radius of the base circle, and h is the height of the cone. 3 A particular sawdust pile has a base diameter of 35 feet when the height is 30 feet. Find the volume of this sawdust pile when it is 55 feet high. ft3 Give your answer as an expression (using pi for 7), or as a value accurate to the nearest whole number.

Answers

Answer: i really don’t u derstans this

Step-by-step explanation:

Georgia said she could make 11 out of 20 blankets for a craft show. She has already made 3 blankets. What percent of the 20 blankets does she still have to make? helppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeee i wil give you 100 0point i swerare

Answers

Answer:

Step-by-step explanation:

Total she can make = 11

Amount she has already made = 3

Amount she still have to make = 11-3 = 8

% of the 20blanket she still have to make = 8/20×100

= 8×5

= 40%

Hence she Still need to make 40% of the 20blanket

Answer:

11-3=8

40% of 20 is 40/100*20 = 8

Step-by-step explanation:

brainliest please

What is the equation of the line showed in this graph?

Answers

Answer:

y=1

Step-by-step explanation

Can someone help plz helpppp!!!!!

Answers

Answer:

4N left

5N left

0N (balanced)

9N right

Step-by-step explanation:

The net force is the vector sum of all of the forces acting on an object. To find the net force when there are two opposite forces subtract the smaller number from the larger, for example, 7-2. Then take to total, 5N, and add the direction of the stronger force. If the equation equals zero that means you have a balanced force. To find the force of two actions in the same direction simply add them.

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