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3 years ago

9

List all angles that are congruent to angle 1.

1 answer:

Tasya [4]3 years ago

8 0

1, 3, 5, 7. 1 and 3 they are vertical meaning they are congruent. 3 and 5 are alternate interior angles meaning they are congruent. 7 and 5 are vertical so they are congruent.

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Andrea baked h muffins. violet baked 8 fewer muffins then andrea. find the average number of muffins baked by both girl, in term

Nana76 [90]

This is the concept of algebra, the average number of muffins baked by each girl will be given as follows;
Muffins baked by Andrea=h muffins
Muffins baked by Violet =h-8

Average=(Total sum of numbers)/(Number of items)
total sum=h+(h-8)=2h-8
Number of items=2
thus;
average=(2h-8)/2=h-4
the answer in terms of h is (h-4)

4 0

3 years ago

Read 2 more answers

7) Original price: ?<br> Discount: 25%<br> Sale price:<br> $28

Studentka2010 [4]

Answer:

Step-by-step explanation:

let be x the price before the discount

original price= 28/(1-0.25)=28/0.75=37.33

original price=37.33

3 0

3 years ago

Read 2 more answers

1. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an exte

gregori [183]

Answer:

900 g

Step-by-step explanation:

let e be extension and w be weight

given e varies directly as w then the equation relating them is

e = kw ← k is the constant of variation

to find k use the condition w = 150 , e = 2.9 , then

2.9 = 150k ( divide both sides by 150 )

$\frac{2.9}{150}$ = k , that is

k = $\frac{29}{1500}$

e = $\frac{29}{1500}$ w ← equation of variation

when e = 17.4 , then

17.4 = $\frac{29}{1500}$ w ( multiply both sides by 1500 )

26100 = 29w ( divide both sides by 29 )

900 = w

3 0

3 years ago

Find a equation for the slope 3/2 and Y intercept -1

Mashcka [7]

Answer:

$\large\boxed{y=\dfrac{3}{2}x-1}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em> - <em>y-intercept</em>

We have

$m=\dfrac{3}{2},\ b=-1$

Substitute:

$y=\dfrac{3}{2}x+(-1)=\dfrac{3}{2}x-1$

5 0

3 years ago

Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.

tester [92]

Given:

Polynomial is $3x^2+15x-56$ .

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

$3x^2+15x-56+(x-8)^2$

$=3x^2+15x-56+x^2-2(x)(8)+8^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

$=3x^2+15x-56+x^2-16x+64$

On combining like terms, we get

$=(3x^2+x^2)+(15x-16x)+(-56+64)$

$=4x^2-x+8$

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is $4x^2-x+8$ .

7 0

3 years ago