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dmitriy555 [2]
3 years ago
14

A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem t

o determine whether it is a right triangle.
3^2 + 5^2 = 4^2
9 + 25 = 16
34 ≠ 16

Abe concluded that it is not a right triangle. Is Abe correct? ​
Mathematics
1 answer:
fgiga [73]3 years ago
8 0
No, Abe is incorrect.

If you don’t know which side is the hypotenuse, you have to try every possibility.

3^ + 4^ = 5^
25 = 25

The triangle is a right triangle. The side which is 5 cm long is the hypotenuse.
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Is segment ST tangent to circle P1
malfutka [58]

Answer:

B . Yes

Step-by-step explanation:

Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.

Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.

To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:

c² = a² + b², where,

c = longest side (hypotenuse) = 37

a = 12

b = 35

Plug in the value

37² = 12² + 35²

1,369 = 1,369 (true)

Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.

Thus, segment ST is a tangent to circle P.

7 0
3 years ago
At one farmer's market, bananas cost $0.80 per pound. At another farmer's market, bananas are sold in 5-pound bags for $4.50 per
kozerog [31]
Divide the second amount by five to find out how much it costs at the second farmers market to get 1 pound of bananas.
5/5=1
4.50/5=.9
.9>.8 so the first farmers market had a better deal.
3 0
3 years ago
Read 2 more answers
What does Draw and shade a figure that represents 100%. Label your 100%. Then describe the figure in words.
enot [183]
<span><span>In most statistical models to represent easy percentages, circle is mostly preferred. It is purposefully designed or rather allotted for functions that included 100%. A pie chart in technical terms. Imagine an uneaten cake would represent a 100%. </span></span>In most case scenarios, when you eat one slice of the cake. You take a portion that decreases it 100% or a whole presentation, for instance you took 25% slice of cake, what’s left will be 75% and then when you put back again, the 25% slice will present the whole 100%. In words, 25% slice of a cake you take, what’s left will just a portion 75% and unless you put it back it will be whole again.




6 0
3 years ago
What is the slope of the line shown?
Olin [163]

By using two arbitrary points on the line, we can find the slope using the slope formula:

\frac{y.2 - y.1}{x.2 - x.1} = m

We'll use the points (0, 4) and (5, 1) for this.

1 - 4 / 5 - 0

-3 / 5

The slope of the line is -3/5.

4 0
3 years ago
If x = 8 units, y = 3 units, and h = 10 units, find the area of the trapezoid shown above using decomposition.
kondaur [170]
If by decomposition you mean breaking it ino parts then

break it itno 2 triangles and 1 rectangle

left to right

triangle with base y and height h
h=10
y=3
area of traignel=1/2bh
aera=1/2(10)(3)
area=5(3)
area=15

rectangel of legnth x and height h
area=legnth timwe width
x=8
h=10
area=8 times 10
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last triangle
should be same as other sinces same base (y) and same height (h)
15

add
15+80+15=120
8 0
3 years ago
Read 2 more answers
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