Design An art class is making a mural for their school which has a triangle drawn in the middle. The
length of the bottom of the triangle is x. Another side is 13 more than two times the length of the
bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an
expression for the perimeter of the triangle.
What is the expression for the perimeter of the triangle?

Answer:

The answer is 27t - 12.

Step-by-step explanation:

1) Remove parentheses.

[tex] \frac{1}{2} \times 18t + 2t \times 9 - 12[/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{1 \times 18t}{2} + 2t \times 9 - 12[/tex]

3) Simplify 1 × 18t to 18t.

[tex] \frac{18t}{2} + 2t \times 9 - 12[/tex]

4) Simplify 18t/2 to 9t.

[tex]9t + 2t \times 9 - 12[/tex]

5) Simplify 2t × 9 to 18t.

[tex]9t + 18t - 12[/tex]

6) Collect like terms.

[tex](9t + 18t) - 12[/tex]

7) Simplify.

[tex]27t - 12[/tex]

Thus, the answer is 27t - 12.

Answer:

Step-by-step explanation:

attach an image

Answer: Segment (of a Circle) A segment is a region bounded by a chord of a circle and the intercepted arc of the circle. A segment with an intercepted arc less than a semicircle is called a minor segment. A sector with an intercepted arc greater than a semi-circle is called a major segment.

I hope this helped you but, I didnt know the ones on your assignment :)

9514 1404 393

Answer:

  8

Step-by-step explanation:

F(-8) is found by locating x = -8 on the x-axis, then determining the y-coordinate the graph has at that point.

  f(-8) = 8

Answer:

They Sold 100 General Tickets And 250 Student Tickets.

Step-by-step explanation:

100x8= 800

250x5=1250

1250+800=2050

Hope This Helped!

Answer:

51 girls

Step-by-step explanation:

85 represents the total amount of students in 5th grade, including boys and girls.

0.6 or 60% of the 85 students in 5th grade are girls.

0.6 x 85 = 51

Therefore, there are 51 girls out of the 85 students in 5th grade.

Answer:

C I think

Step-by-step explanation:

sin a= opp/ hypotanuese

= 2 root 10/11

so C

if my answer helps please mark as brainliest.

Answer:

x is greater than or equal to -7 and is less than 7

Answer:42.7in^2

that what answer i am sure of

Answer:

3 days

Step-by-step explanation:

20 day x 300 dollar ＝6000 dollars

6000 dollar - 5910 dollar ＝90 dollar

Can be fined 80 dollar because 20 is even number

So,days can be fined:

60 dollar divide 20 dollar ＝3 days

Answer:

Which language is this I don't understand

ots shjshdhusksjbsu8osjd

Answer:

0.144

Step-by-step explanation:

[tex] \sqrt[250]{36} [/tex]

Answer: 420.25in^2

Step-by-step explanation:

Area of Square = s^2

20.5^2 = 420.25

Answer:

f(x)=9x-7

when x=-1

f(-1)=9×-1-7=-9-7=-16

when x=0

f(0)=9×0-7=-7

other are similar to this

Answer:

x = 36

Step-by-step explanation:

x/48 = 48/64

64x = 2304

x = 36

Answer:

b hope it help

Step-by-step explanation:

Answer:

1. 8

2. 9

3. 1

4. 3

5. 125/1000

Step-by-step explanation:

hope I  helped :)

Answer:

the fraction is already in its simplest form

Answer:

red box       5, 3, 0, -9, 4, 0, 2, -37

Step-by-step explanation:

9514 1404 393

Answer:

  $91.56

Step-by-step explanation:

We can simplify Nancy's cost expression to ...

  c +0.09c = c(1 +0.09) = 1.09c

The the total cost of the item of interest is ...

  (1.09)($84) = $91.56

Answer:

C, m angle 1 = 60°, m angle 2 = 30°, m angle 3= 60°

Step-by-step explanation:

Each of the 6 triangles in the hexagon are equilateral, meaning that each angle is 60 degrees (180 degrees in a triangle / 3).

9514 1404 393

Answer:

  77.3 cm

Step-by-step explanation:

The distance FA is the diagonal of rectangle ABFE. We know the length AB, so we need to find the length BF. That is found using the trig relation ...

  cos(25°) = BC/BF

  BF = BC/cos(25°) ≈ (60 cm)/0.906308 ≈ 66.203 cm

Then the diagonal length FA is found using the Pythagorean theorem:

  FA = √(AB² +BF²)

  FA = √(40² +66.203²) ≈ √5982.79 ≈ 77.349 . . . cm

The diagonal length FA is about 77.3 cm.

Answer:

give me brainliest

Given a line AB with Point C outside it.

Mark point D on the line AB. Join CD

With D as center, and any radius, draw an arc intersecting AB at E, and CD at F.

With C as center, and same radius as before, draw an arc intersecting CD at G.

Open a compass to length EF

Now,with G as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at H.

Draw a line m passing through C and H.

Thus m is the line parallel to AB, and passing through point C

∴m∣∣AB

Step-by-step explanation:

Answer:

a) 3m + m

b) 2m + 2m

Answer:

Step-by-step explanation:

a) 3m + m

b) 2m + 2m

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

2x+1=30x-20

Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .