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2 years ago

Select the real-world problem that could be solved using a proportion.

Mathematics

1 answer:

AlekseyPX2 years ago

5 0

Answer:

Step-by-step explanation:

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Find the factors of 9q²-45pq+8q-40p

Elina [12.6K]

Answer:

(x−5y)(9x+8)

Step-by-step explanation:

9x^2−45yx+8x−40y

Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.

9x(x−5y)+8(x−5y)

Factor out common term x−5y by using distributive property.

(x−5y)(9x+8)

5 0

3 years ago

If aſc and a +b = C, prove that a|b.

mars1129 [50]

Answer with Step-by-step explanation:

Since we have given that

a + b = c

and a|c

i.e. a divides c.

We need to prove that a|b.

⇒ a = mb for some integer m

Since a|c,

So, mathematically, it is expressed as

c= ka

Now, we put the above value in a + b = c.

So, it becomes,

$a+b=c\\\\a+b=ka\\\\b=ka-a\\\\b=a(k-1)\\\\\implies a|b$

a=mb, here, m = k-1

Hence, proved.

7 0

3 years ago

Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by AA theorem.

So, correct answer is option B. AA

7 0

2 years ago

Pls help me What is the diagram?

olga nikolaevna [1]

Answer:

c/e = e/d

Step-by-step explanation:

These are similar triangles. When you flip the larger one clockwise to enable you to see which sides are corresponding, then you find that:

c corresponds to e'

a corresponds to b

e corresponds to d

Therefore, c/e in the original position = e'/d in the flipped position.

So c/e = e/d

8 0

3 years ago

The purpose of this form is so that your employer can withhold the correct amount of federal income tax from your pay.

Jet001 [13]

I-9 form, hope this helps

3 0

2 years ago