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anastassius [24]
3 years ago
5

Rewrite (x+4y)(2x+y-9) using distributive property

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

3x+5y-9  pls vote brain le est i hope it helped

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Geometry question, need help!
Anna35 [415]

Answer:

x = 7.5

Step-by-step explanation:

We first labelled the diagram we get

DC = 8

AD = 10

CE = 6

BE = x

∴ AC =AD + DC = 18

∴ BC = BE + ED = x + 6

To Find :

BE = x =?

Solution:

Let DE || AC

In  Δ ABC and Δ DEC

∠A ≅ ∠D    …………..{corresponding angles ∵ DE || AB }

∠B ≅ ∠E      ..............{corresponding angles ∵ DE || AB }

∠C ≅ ∠C    ……….....{Reflexive Property}    

Δ ABC ~ Δ DEC ….{Angle-Angle-Angle  Similarity test}

If two triangles are similar then their sites are in proportion.

\frac{AB}{DE} =\frac{BC}{EC} =\frac{AC}{CD}\ \textrm{corresponding sides of similar triangles are in proportion}\\

On substituting the given values we get

∴ \frac{8}{18} = \frac{6}{6+x} \\\\8(6+x) = 6\times 18\\\\\textrm{using distributive property we get}\\48+8x=108\\8x=108-48\\x=\frac{60}{8}\\ \\x=7.5\\\\\therefore x =7.5

4 0
4 years ago
Water use in the summer is normally distributed with a mean of 311.4 million gallons per day and a standard deviation of 40 mill
r-ruslan [8.4K]

Answer: 0.965

Step-by-step explanation:

Given : Water use in the summer is normally distributed with

\mu=311.4\text{ million gallons per day}

\sigma=40 \text{ million gallons per day}

Let X be the random variable that represents the quantity of water required on a particular day.

Z-score : \dfrac{x-\mu}{\sigma}

\dfrac{350-311.4}{40}=0.965

Now, the probability that a day requires more water than is stored in city reservoirs is given by:-

P(x>350)=P(z>0.965)=1-P(z

We can see that on comparing the above value to the given P(X > 350)= 1 - P(Z < b) , we get the value of b is 0.965.

4 0
3 years ago
The difference between 4,632 and 20,000 is what number
zysi [14]
The difference is subtraction. 

20,000 - 4,632 = 15,368

Answer:  15,368


3 0
4 years ago
Read 2 more answers
Peters glasses each hold 8 fluid ounces how many glasses of juice can peter pour from a bottle that holds 2 quarts
soldi70 [24.7K]
There are 4 cups in a quart so he can pour 8 glasses of juice :p
7 0
3 years ago
um?? #8 send help! Write an algebraic expression for two numbers with a sum of -10. Let one of the numbers be represented by x.
zepelin [54]

Answer:

Here is your answer.

Step-by-step explanation:

Sum: -10

Expression:

X = 2

m = -5

(multiplying X and M)

XM = -10 (X times M = -10) (-10 = negative 10)

7 0
3 years ago
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