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never [62]
3 years ago
7

Plzzz help plzzzzzzzzzzzzzz

Mathematics
1 answer:
mezya [45]3 years ago
7 0

Given:

The figure of two quadrilaterals.

In ABCD,AB=18,BC=20,CD=22,AD=24

In EFGH,EF=27,FG=30,GH=34, EH=36

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

\dfrac{AB}{EF}=\dfrac{18}{27}

\dfrac{AB}{EF}=\dfrac{2}{3}

Similarly,

\dfrac{BC}{FG}=\dfrac{20}{30}

\dfrac{BC}{FG}=\dfrac{2}{3}

\dfrac{CD}{GH}=\dfrac{22}{34}

\dfrac{CD}{GH}=\dfrac{11}{17}

And,

\dfrac{AD}{EH}=\dfrac{24}{36}

\dfrac{AD}{EH}=\dfrac{2}{3}

Clearly, \dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}.

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

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A 20 foot ladder is resting against the side of the house the base of the latter is 4 feet away from the house approximately how
notka56 [123]

The ladder resting against the house forms a triangle similar to the one in the image below

To answer this question you must use Pythagorean theorem

a^{2} +b^{2}=c^{2}

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = x

b = 4

c = 20

^^^Plug these numbers into the theorem

x^{2} +4^{2} =20^{2}

solve for x

x^{2} + 16 = 400

x^{2} = 384

x = 8√6

or

x ≈ 19.5959....

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
Write the exponential equation for this scenario. Georgiana invests $3000.00 in a CD. The CD earns 10% annual interest. How much
Dmitry_Shevchenko [17]

Answer:

The exponential equation is;

F = 30,000(1.01)^30

The value is;

$40,435.50

Step-by-step explanation:

Here, we are to write an exponential equation

Exponential equations generally take the form;

F = I(1 + r)^t

where F is the future value

I is the initial value

r is the growth percentage

t is the time

with respect to the question;

F = ?

I = 3,000

t = 30

r = 10% = 10/100 = 0.1

Writing the equation, we have

F = 30,000(1.+ 0.1)^30

F = 30,000(1.01)^30

F = $40,435.50

5 0
3 years ago
A security expert claims that exactly 13​% of all homeowners have a home security alarm. State H0 and Ha in words and in symbols
soldi70 [24.7K]

Answer:

Two tailed

Step-by-step explanation:

Given that a security expert claims that exactly 13​% of all homeowners have a home security alarm.

Here we have to check whether the contention of security expert is correct or not

The test is to be done for the proportion of homeowners who have a home security alarm to total homeowners.

Let p be the proportion.

For this we set up hypotheses as:

H_0 = p = 13%=0.13\\H_a: p \neq 0.13

This is a two tailed test

Because alternate is for not equal to.  If alternate is for > or < we say one tailed and if not equal to we say two tailed.

3 0
3 years ago
What is the product?
FinnZ [79.3K]
Hey there!

In order to solve this problem, you'll look at (x⁴)(3x³ – 2) first. You need to multiply 4x by both numbers in the binomial to get the distributed version that you'll use later on. 

(x⁴)(3x³) = 3x⁷
(x⁴)(–2) = –2x⁴

Now, your problem is (3x⁷ – 2x⁴)(4x² <span>+ 5x). You will complete the distributing by multiplying the first term of the first binomial by both terms of the second binomial, then repeating this with the second term. You'll then want to add or subtract any repeated terms to combine them, if applicable. Remember that to multiply exponents together, all you need to do is add the numbers. x is the same as x</span>¹.<span>

</span>(3x⁷)(4x²) = 12x⁹
(3x⁷)(5x) = 15x⁸
(–2x⁴)(4x²) = –8x⁶
(–2x⁴)(5x) = –10x⁵

So, your final expanded product will be (12x⁹ + 15x⁸ – 8x⁶ – 10x⁵). Your answer should be letter A. Hope this helped you out! :-)
7 0
3 years ago
(08.05) What conclusion can be determined from the dot plot below?
sertanlavr [38]

Answer:

the answer is d the person above is wrong.

Step-by-step explanation of the wrong answers: b is wrong because it will be 3,3,3,3,3,3,3,4,4,4,5,5,5,6,6. A is wrong because 3 isn't in the middle. C is wrong because then 6-2 is 4. There's your explanation.

5 0
3 years ago
Read 2 more answers
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