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timurjin [86]
3 years ago
14

In order for the parallelogram to be a rhombus, x=?

Mathematics
1 answer:
Cloud [144]3 years ago
5 0

Answer:

Step-by-step explanation:

The diagonal must be an angle bisector for a rhombus.

That means that both bisected angles are equal.

2x + 16 = 5x - 8            Add 8 to both sides

2x + 16 + 8 = 5x

2x + 24 = 5x                 Subtract 2x from both sides

24 = 5x - 2x

24 = 3x                         Divide by 3

24/3 = x

x = 8

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Lea has 3/4 cup of laundry detergent left in detergent bottle. Each load of laundry requires 1/6 cup of detergent. How many load
Stells [14]
ANSWER

Lea can wash 4½ loads of laundry with the remaining detergent.

EXPLANATION

Quantity of detergent left
= \frac{3}{4}

Quantity required to watch each load
= \frac{1}{6}

Number of loads Lea can wash
= \frac{3}{4} \div \frac{1}{6}

We now simplify this by multiplying with the reciprocal

Number of loads Lea can wash

= \frac{3}{4} \times \frac{6}{1}

= \frac{3}{2} \times \frac{3}{1}

= \frac{9}{2}

= 4 \frac{1}{2}

Therefore Lea can wash 4½ loads of laundry with the remaining detergent.
3 0
4 years ago
According to the graph, what is the value of the constant in the equation
love history [14]

Answer:

The value of the constant is 3

Step-by-step explanation:

Let

y ----> the height

x ----> the width

we have

y=kx

This is the equation of a linear direct variation

The equation of the line passes through the origin

we have the points

(0.5,1.5), (2,6) and (3,9)

see the attached figure to better understand the problem

Find the value of the constant of proportionality k

k=\frac{y}{x}

For (0.5,1.5) ----> k=\frac{1.5}{0.5}=3

For (2,6) ----> k=\frac{6}{2}=3

For (3,9) ----> k=\frac{9}{3}=3

therefore

The value of k is equal to 3

The linear equation is

y=3x

or

Height=3Width

7 0
3 years ago
Roses are $2.50 each and lilies are $1.25 each. Ellis spent $28.75 for 15 of the flowers. How many of each type of flower did he
goldenfox [79]

Answer:

8 roses, 7 lilies

Step-by-step explanation:

8 roses = 20$

7 lilies = 8.25$

Added together they equal 28.75 $

3 0
3 years ago
Students in the sixth grade are raising money for an end of year camping trip. So far they have raised 240. This is 2/5 of the c
Sauron [17]

Answer: $600

Step-by-step explanation:

2/5 = 240 of the trip

1/5 = 120 of the trip

3/5 = 360 of the trip

4/5 = 480 of the trip

5/5= the whole trip $600

6 0
3 years ago
Could someone help, please?
statuscvo [17]

Answer:

Option B

Step-by-step explanation:

By using geometric mean theorem in the given right angle triangle RST,

\frac{RT}{ST}=\frac{ST}{VT}

\frac{RV+TV}{ST}=\frac{ST}{TV}

\frac{4.1+10.2}{ST}=\frac{ST}{10.2}

ST² = 10.2 × 14.3

ST = \sqrt{145.86}

ST = 12.077

ST ≈ 12.1

Therefore, Option B will be the correct option.

8 0
3 years ago
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