LIVE is a parallelogram,EL is a diagonal that divides the parallelogram into two...

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October 2022 1 15 Report

LIVE is a parallelogram,

EL is a diagonal that divides the parallelogram into two Congruent triangles.

1. If LIVE, What is the value of x ?
a. 5
b. 10
C. 15
d. 20

2. What is the measure of segment VE ?

a. 27 cm
b. 28 cm
c. 29 cm
d. 30 cm

3. Which of the following equation is correct to find the value of y?

a. y = 2
b. y-25-5
c. y 25+5
d. y=5(25)

4. What is the value of y from the given figure?
a. 5
b. 20
c. 30
d. 125

5. What is the dimension of segment EL?
a. 10 cm
b. 15 cm
c. 20 cm
d. 25 cm

Answers & Comments

chirilu

LIVE is a parallelogram, EL is a diagonal that divides the parallelogram into two Congruent triangles.

$\overline{\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad}$

1. If LI=VE, What is the value of x ?

$\sf{SOLUTION:}$

Given LI=VE, we will equate their given measures to find the value of x.

$\tt LI=VE \\ \\\qquad \qquad\tt 2x - 3 = x + 13 \\ \\\qquad \qquad \tt 2x - x = 13 + 6 \\ \\ \red{ \boxed{ \tt x = 16}}$

$\begin{array}{l}\footnotesize \textsf{Ps. Although 16 is not included in the choices,} \\ \footnotesize\textsf{rest assured, x=16} \end{array}$

$><img src=$

2. What is the measure of segment VE?

$\sf{SOLUTION:}$

We will substitute the value of x to the given measure of segment VE.

$\begin{array}{l}\qquad\qquad\tt \overline{VE}=x + 13 \: cm \\ \\\qquad\qquad \tt \overline{VE} = (16) + 13 \: cm \\ \\ \qquad\qquad\red{ \boxed{ \tt \overline{VE} = 29 \: cm}}\end{array}$

$><img src=$

3. Which of the following equation is correct to find the value of y?

$\sf{SOLUTION:}$

To formulate an equation to find the value of y, we will equate the given measure of LE and IV and simplify until the variable y is isolated on one side of the equation.

$\qquad\qquad\qquad \tt LE=IV\\\\\qquad \qquad\qquad\tt 5y = 25 \\ \\\qquad\qquad\qquad \tt \frac{5y}{5} = \frac{25}{5} \\ \\ \qquad\qquad\qquad\red{ \boxed{ \tt y = \frac{25}{5} }}$

$><img src=$

4. What is the value of y from the given figure?

$\sf{SOLUTION:}$

We will use the equation we have formulated in number 3 to find the value of y.

$\qquad\qquad\qquad \tt y = \frac{25}{5} \\ \\\qquad \qquad\qquad \red{ \boxed{ \tt y = 5}}$

$><img src=$

5. What is the dimension of segment EL?

$\sf{SOLUTION:}$

We substitute the value of y to the given measure of segment EL.

$\begin{array}{l}\qquad\qquad\tt \overline{EL}=5y \: cm \\ \\ \qquad\qquad\tt \overline{EL} =5 (5) \: cm \\ \\ \qquad\qquad \red{ \boxed{ \tt \overline{EL} = 25 \: cm}}\end{array}$

$\overline{\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad}$

$>#CarryOnLearning <div class=$

7 votes Thanks 31

kentonanamicutie chirilu, kaya mo pong sagutan question ko sa math?

kentonanamicutie yung nasa second po na makikita mong question pagkatingin mo sa questions ko

kentonanamicutie kung kaya mo I'll create another question po para dun mo po sagutan

kentonanamicutie thankyou

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