These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?

Answer:

Option (3)

Step-by-step explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

[tex]\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{4}{7}=\frac{7}{4}[/tex]

But [tex]\frac{7}{4}\neq \frac{4}{7}[/tex].

Therefore, this option is not the answer.

Option (2),

[tex]\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}[/tex]

[tex]\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}[/tex]

[tex]\frac{4}{7}=\frac{7}{4}=\frac{7}{4}[/tex]

But [tex]\frac{4}{7}\neq \frac{7}{4}[/tex],

Therefore, this option is not the option.

Option (3),

[tex]\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{7}{4}=\frac{7}{4}[/tex]

Therefore, this option is the answer.

Option (4),

[tex]\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}[/tex]

[tex]\frac{4}{7}=\frac{4}{7}=\frac{10}{21}[/tex]

But, [tex]\frac{4}{7}\neq \frac{10}{21}[/tex]

Therefore, this is not the correct option.

I NEED HELP ASAP

Acellus
Find the value of x. Round to the
nearest tenth.
X
372
6
x = [ ?

Jeff is buying books at a used bookstore. He wants to approximate the total cost of his purchase before checking out. Which amount is the most reasonable approximation of the total price of the 5 books?

Write the number in scientific notation.
98,000
X10^

Please help me with this

Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

-3×1/4-6 please help im losing my mind

Karen and Max tracked the number of emails that they received each day over the last month. Which statement is supported by the data?


A. Max and Karen’s IQR values are the same.
B. Max’s median is greater than Karen’s median.
C. Max’s maximum is greater than Karen’s maximum.
D. Max’s data is more symmetrical than Karen’s data.

Find the volume of the pyramid. Someone help plz

What is the Theoretical Probability of landing on red? *
(10 Points)
43%
40%
36%
33.3%

Jane borrowed $800 from a bank for 4 years and was charged simple interest. The total interest that she paid on the loan was $160. As a percentage, what was the annual interest rate of her loan?

HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSS

Help I pick you for brainlist

Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is modeled by v(t)=4t^2-24t-28v(t)=4t 2 −24t−28v, left parenthesis, t, right parenthesis, equals, 4, t, squared, minus, 24, t, minus, 28 Tom wants to know when his company will be at its lowest net value. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

Which function is represented by the graph below?

graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 3, 1. Then the graph begins to increase quickly throughout the graph

(5 points)


f(x) = 3x
f(x) = 3x − 3
f(x) = 3x + 3
f(x) = 3(x − 3)

Simplify -8+4(-3)/5

A.) -4
B.) 4
C.) -4/5

Each side of a square is 62/3 m long. Find its Area

How do you find a factor in a graph?

Can someone pleaseeee help and if you’re correct i’ll give brainliest

What is the value x of 4×+67=143

Question is in the screenshot...

HELP DUE IN 10 MINS!

x =??

I'll give BRAINLIEST PLEASE ANSWER

5 dividido en 1.35.

The radius of a cylinder is measured in inches. What unit will the volume be measured in?
will give brainlist
cubic inches
feet
square inches
inches

Can someone answer this

plssssss helpppppppppppppppppppp

How is an equation like an expression? How is it different?

what is x? Options: 81, 57, 143, 66.

What is the sum of ( 3 . 4 × 10 8 ) + ( 7 . 5 × 10 8 ) ?
A.
1
.
09
×
10
9
B.
1
.
09
×
10
8
C.
1
.
09
×
10
17
D.
1
.
09
×
10
16

Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.