EFGH is a rhombus,Given EG = 16 and FH = 12, what is the length of one side of
the rhombus?
6 units
8 units
10 units
14 units

Answers

Answer 1

Answer:

The length of one side of the rhombus is 10 units.

What is Rhombus?

A rhombus is a two dimensional shape which consists of four equal sides with opposite side being parallel and opposite angles being equal.

Given that,

EFGH is a rhombus.

Length of the two diagonals are also given.

EG = 16 and FH = 12

In a rhombus, the diagonals bisect each other at right angles.

Let the intersection point of the diagonals be O.

Consider ΔOFG.

Using Pythagoras Theorem,

(FG)² = (OG)² + (OF)²

OG = EG / 2 = 16 / 2 = 8

OF = FH / 2 = 12 / 2 = 6

(FG)² = 8² + 6²

= 100

FG = √100 = 10

Hence the length of one side of the rhombus is 10 units.

Learn more about Rhombus here :

brainly.com/question/12665650

#SPJ7

Answer 2

Answer:

Answer:

C. 10 units

Step-by-step explanation:

The half diagonals of a rhombus are the legs of a right triangle with the hypotenuse being the side of the rhombus.

EG and FH are the diagonals of the rhombus. The half-diagonals measure 8 and 6.

We can use the Pythagorean theorem to find the hypotenuse length with is the length of the side of the rhombus.

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

c^2 = 100

c = 10

Answer: 10 units

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Sarita showed the steps to solving the equation. 5 (x minus 3) + 7 (x + 4) = 73 Steps Sarita’s Solution Sarita’s Verification 1 5 x minus 15 + 7 x + 28 = 73 5 (5 minus 3) + 7 (5 + 4) = 73. 5 (negative 2) + 7 (9) = 73. Negative 10 + 63 = 73. 53 not-equal-to 73. 2 (5 + 7) x + (negative 15 + 28) = 73 3 12 x + 13 = 73 4 12 x + 60 5 x = 5 When Sarita tried to verify her answer, she found it was wrong. Which explains her mistake? Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step. Sarita added +13 instead of Negative 13 in the fourth step. Sarita was supposed to use the division property of equality in the third step.

Answers

Answer: First option.

Step-by-step explanation:

The complete exercise is attached.

Given the following equation:

$5 (x-3) + 7 (x + 4) = 73$

The steps to solve it are:

1. Apply the Distributive property:

$5x-15+7x+28=73$

2. Add the like terms:

$12x+13=73$

3. Subtract5 13 from both sides of the equation:

$12x+13-(13)=73-(13)\n\n12x=60\n\n$

4. Divide both sides of the equation by 12:

$(12x)/(12)=(60)/(12)\n\nx=5$

To verify it, let's substitute $x=5$ into the equation:

$5 (5-3) + 7 (5 + 4) = 73$

Evaluating, we get:

$5 (2) + 7 (9) = 73\n\n10+63=73\n\n73=73$

Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that $5-3\neq -2$ )

Answer:A

Step-by-step explanation:

Witch equation could be used to show the relationship between x answer y?

Answers

Yay, I love these.

We see the difference between all values in Y is 1/4.

Putting this into the base equation "y = mx + c" we put the 1/4 where m is.

So we get y=(1/4)x + c

Because this works and there is nothing to add we take out the C.

That means the answer is: y= (1/4)x

Please remember to give me 5 stars if I was helpful.

48 is the product of Carlos's age and 3.

Answers

Answer:

Step-by-step explanation:

48= 3x

48/3 = x

x= 16

'product and' means multiply I googled it

Mia has a rectangle clothShe dips 5/8 of it in blue dye
She dips 9/20 in yellow
The part of the cloth that is dipped in both colours turns green.
Work out the fraction of cloth that turns green.
plz show working

Answers

Answer:

Fraction of cloth that turns green = $(3)/(40)$

Step-by-step explanation:

Let total cloth be of length = 1 unit

Given $(5)/(8)$ of it is dipped in blue dye.

Fraction which is not dipped in blue is given as:

⇒ $1-(5)/(8)$

Taking LCD to subtract fractions.

⇒ $(8)/(8)-(5)/(8)$

⇒ $(3)/(8)$

She dips $(9)/(20)$ in yellow.

Comparing the fraction dipped in yellow which is $(9)/(20)$ and fraction which is not dipped in blue i.e. $(3)/(8)$

$(9)/(20),(3)/(8)$

Taking LCD between 8 and 20 = 40

We have:

$(9* 2)/(20* 2),(3* 5)/(8* 5)$

$(18)/(40),(15)/(40)$

Thus, we can say $(9)/(20)>(3)/(8)$

Since $(9)/(20)>(3)/(8)$ , so the part dipped in yellow will also cover some part which is blue.

Thus, fraction dipped in yellow and blue which turns green will be given as:

⇒ $(9)/(20)-(3)/(8)$

Subtracting by taking LCD =40.

⇒ $(9* 2)/(20* 2)-(3* 5)/(8* 5)$

⇒ $(18)/(40)-(15)/(40)$

⇒ $(3)/(40)$ (Answer)

3.14 rounded to the nearest 1 decimal place

Answers

3.1 (it is the tenth place)

3.1 because 5 or up the number goes up 4 of low the number goes down

George spins a spinner 108 times. The spinner lands on a green section 9 times. What is the best estimate of the probability that a spin will land on green? Explain pargraph please