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2 years ago

PLEASE HELP ASAP What is the missing statement for the sixth step in the proof below?

Mathematics

1 answer:

alexira [117]2 years ago

4 0

Answer:

Step-by-step explanation:

The last reasoning is the side angle side theorem. In the whole proof, there is no mention of an angle. So the answer has to involve prooving that the angle in between the two sides that have been proven similar is the same in both traingles. This is best accomplished by statement C.

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Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing

Cloud [144]

Answer:

See below

Step-by-step explanation:

Sides of the garden

16 feet and 8 feet

New dimensions of the garden

16 + 2x and 8 + x

1. The area of the new garden

(16 + 2x)(8 + x) =
2x^2 + 32x + 128

2. The difference in area

2x^2 + 32x + 128 - 16*8 =
2x^2 + 32x

3. x= 2 effect on the area

2*2^2 + 32*2 =
8 + 64 =
72 ft²

4. Area difference = 160

2x^2 + 32x = 160
x^2 + 16x - 80 = 0
Solving we get positive root of 4 ft

5. Area difference = 4 times

2x^2 + 32x = 128*3
2x^2 + 32x - 384 = 0
x^2 + 16x - 192= 0
Solving we get positive root of 8 ft

3 0

3 years ago

Shade the model to 0.5 x 0.3

stellarik [79]

What model? also it would be 1/2 and 1/3

6 0

3 years ago

Read 2 more answers

The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is

notsponge [240]

Since the three angles of a triangle add to give 180°

The the size of the largest angle 4 = 180° × $\frac{4}{2+3+4}$
= 180° × $\frac{4}{9}$

∴ the size of the largest angle = 80°

8 0

3 years ago

A flood a creek's water level changes by −4 7/10 feet in 2 hours. What is the average change in the creek's water level per hour

dezoksy [38]

Answer:

-2.35

Step-by-step explanation:

Divide -4.7/2 = -2.35

3 0

2 years ago

Write an equation in slope-intercept form for the following line: (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$

Finally, we know b-value. Then we substitute it in our equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }$

4 0

2 years ago