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3 years ago

Given that ABCD is a rhombus, what is the value of x?

Mathematics

1 answer:

SashulF [63]3 years ago

3 0

Answer:

Step-by-step explanation:

A rhombus is divided into four congruent triangles. The two given angles are complementary, meaning they add up to 90 degrees. Set up an equation:

$(4x-25)+x=90$

$4x-25+x=90$ Take out the parentheses

$5x-25=90$ Combine like terms

$5x=115$ Add 25 to both sides so as to isolate the variable

$x=23$ Divide both sides by 5

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20 weeks : 14 Days in simplest form? <br><br> Can you explain as well??

PilotLPTM [1.2K]

14 days = 2 weeks

20weeks : 14 days = 20 weeks : 2 weeks = 20 weeks / 2 weeks = 10:1

hope it helps!

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3 years ago

Kate has a rectangular garden that is 8 feet long by 3 feet wide. She wishes to extend the length and width by the same amount i

elena55 [62]

<span>Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0

Factorize using splitting the middle term method. X^2 +16x-5x-80=0 x(x+16)-5(x+16)=0 (x-5)(x+16)=0 either x-5 = 0 or x+16=0 x=5 or x=-16 length and width measure cannot be negative. Therefore, the extension of the length and width is 5 feet each.</span>

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3 years ago

Mr.Hanson makes a rope by stringing dozens of tennis balls together. He ties one end of the rope to a tree and makes waves by ra

Dahasolnce [82]

The Answer Is A: Moves Up And Down

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3 years ago

Read 2 more answers

In a batch of 100 parts, 40 are red, 50 are L-shaped and 22 are both red and L-shaped. What is probability that a part picked fr

Bogdan [553]

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Step-by-step explanation:

Let us revise some rules of probability

The addition rules are:

P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)

∵ A batch has 100 parts

∵ 40 are red

- Probability of an event is the [even occurs/total outcomes]

∴ P(red) = $\frac{40}{100}=0.4$

∵ 50 are L-shaped

∴ P(L-shaped) = $\frac{50}{100}=0.5$

∵ 22 are both red and L-shaped

∴ P(red and L-shaped) = $\frac{22}{100}=0.22$

This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule

∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)

∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22

∴ P(red or L-shaped) = 0.68

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Learn more:

You can learn more about the probability in brainly.com/question/2254182

#LearnwithBrainly

3 0

2 years ago

G(x) = x4 − 3x2 + 4x − 5

zloy xaker [14]

Let's solve for g.

gx=x4−3x2+4x−5

Step 1: Divide both sides by x.

x4−3x2+4x−5

Answer:

x4−3x2+4x−5

7 0

3 years ago