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3 years ago

Which of the following is not part of the Converse of the Triangle Proportionality Theorem?

Mathematics

2 answers:

Musya8 [376]3 years ago

5 0

Answer:

D. A perpendicular line to one side of a triangle.

Step-by-step explanation:

THe converse of the Triangle Proportionality Theorem states that every straigh line that cuts two sides of a triangle proportionally then it will be parallel to the othe side of the triangle. So AA similarity theorem is involved because given line would create two equal similar triangles, a big one and a small one, so the only one that is not part of the Converse would be A perpendicular line to one side of a triangle.

beks73 [17]3 years ago

4 0

D. A perpendicular line to one side of a triangle is not part of the Converse of the Triangle Proportionality Theorem

Hope this helps!

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melamori03 [73]

Answer:

b and e

Step-by-step explanation:

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3 years ago

A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.

f) $f(t)=16.2−0.062t =12$

$0.062t = 16.2-12 = 4.2$

$t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7$ years to 1 decimal place.

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3 years ago

Which rule explains why these triangles are congruent? (A) ASA (B) AAS (C) SAS (D) These triangles cab not be proven congruent

DerKrebs [107]

Answer:

These triangles cannot be proven congruent.

They are similar but NOT congruent.

Step-by-step explanation:

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3 years ago

The 45°- 45° - 90° Triangle Theorem states that the length of the hypotenuse is ________ times the length of one leg.

Airida [17]

This is an isosceles triangle. If each side is 1, we can find the hypotenuse using the Pythagorean theorem.

a^2 + b^2 = c^2
1^2 + 1^2 = c^2
1 + 1 = c^2
2 = c^2
root 2 = c

Thus, the answer is root 2.

Hope this helps :)

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3 years ago

Eli is buying a townhouse that costs $276,650. He has $28,000 in savings and earns $4,475 a month. Eli would like to spend no mo

lutik1710 [3]

Answer:

The answer is: a. 30 year FHA, 3.5% down at a fixed rate of 6.5%.

Step-by-step explanation:

If Eli wants to pay as little as possible, and we start with a 30-year mortgage, among the percentages that must be paid, the lowest is 3.5%, in terms of the fixed rate, the lowest is 5%, but if we see the amount of 30 years, it is 10%, so although the fixed rate of 6.5% is higher than that of 5%, the payment is only made once, and the difference is not so much compared to 10% for 30 years.

The answer is: a. 30 year FHA, 3.5% down at a fixed rate of 6.5%.

7 0

3 years ago

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