Identify the three similar triangles in the figure. Be sure to name the vertices in the correct order

Triss [41]

Equation for perimeter is 2L +2W

perimeter of the lot is 390 ft

so we have 390 = 2L +2w

divide all terms by 2:

195 = L + W

rewrite this as L = 195-W ( eq.1)

cost of fence for the length = 36 per foot so we have 36L
cost of fence for width = 6 per foot so we have 6W

the fence was 1 length and 2 sides
so we have 36l + 6w +6w = total cost

total cost is 4980

so we have 4980 = 36L + 6w +6w

combine like terms:

4980 = 36L +12w

replace L with eq1 from above:

4980 = 36(195-w) +12w

distribute:

4980 = 7020 -36w +12w

combine like terms:

4980 = 7020-24w

subtract 7020 from both sides:

-2040 = -24w
divide both sides by -24:

-2040 / -24 = 85
width = 85 feet

using eq1 L = 195 - 85

Length = 110 feet

lond = 110 feet
short = 85 feet

7 0

2 years ago

PLEASE HELP I DONT KNOW THE ANSWER !! THIS IS ALGEBRA 2

Korolek [52]

Answer:

f(g(x)) = (5x)^2 = 25x^2

Step-by-step explanation:

If f(x) = x^2 and g(x) = 5x, then

f(g(x)) = (5x)^2 = 25x^2

5 0

2 years ago

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>

$\texttt{ }$

<em>Equation 1 ↔ Equation 2 :</em>

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

$\texttt{ }$

$C = 6 + M$

$C = 6 + 2$

$C = 8$

$\texttt{ }$

<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0

2 years ago

2 intersecting lines are shown. A line with points M, H, K intersects a line with points L, H, J at point H. 4 angles are create

yulyashka [42]

Answer:

m = 10

Step-by-step explanation:

According to the picture attached, we can see the angles formed.

The angle on the top (5m+100) is sided with the angle 2m+10. This means that they are supplementary angles, their sum is 180°.

So,

5m+100+2m+10 = 180

5m+2m=180-100-10

7m = 70

m = 10

5 0

2 years ago

Read 2 more answers

Can you solve this :-)? Identify the equation that means "eleven less than x is twenty-three" (A) x = 23 - 11. (B) x + 11 = 23.

mart [117]

Hey user!!

your answer is here (-:

given :- eleven less than x ( x - 11 ) = twenty three

final answer = x - 11 = 23

correct option is D. x - 11 = 23

if u need the value of x too, then Answer is :-

x - 11 = 23

x = 23 + 11

x = 34

cheers!!

3 0

3 years ago