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timama [110]
3 years ago
8

The questions are below:

Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer:

See below in BOLD.

Step-by-step explanation:

<u>The first part:</u>

Applying the Pythagoras theorem to both triangles.

The one on the left:

13^2 = 12^2 + x^2

x^2 = 169 - 144 = 25

x = 5 units.

The one on the right:

x^2 = 5^2 + 12^2 = 169

x = 13 units.

(a) So the 2 shorter sides in the triangles have the same length.

(b) The 3 sides of each triangle have the same length so they are congruent by SSS.

<u>The Second Part.</u>

(a) F. They<u> could be congruent</u> because the angles are all equal but we don't know anything about the lengths of the sides.

(b). C. Congruent. by ASA.  The angles at each side of the line of length 9.2 are equal in measure.

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3 years ago
Cher wraps 40 presents in 2 hours. At that rate, how many presents would she wrap in 15 minutes
gavmur [86]

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5 presents

Step-by-step explanation:

40 presents in 2 hours

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2 years ago
What's the slope of the line passing through the points -1, 8 - 7, 3​
tatuchka [14]

Answer:

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Step-by-step explanation:

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y₁ - y₂ = m(x₁ - x₂)

In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.

Point 1: (-1, 8)

Point 2: (-7, 3)

y₁ - y₂ = m(x₁ - x₂)                          <----- Original formula

8 - y₂ = m(-1 - x₂)                           <----- Plug in "x" and "y" values from Point 1

8 - 3 = m(-1 - (-7))                           <----- Plug in "x" and "y" values from Point 2

5 = m(-1 - (-7))                                <----- Simplify left side

5 = m(6)                                        <----- Simplify inside parentheses

5/6 = m                                       <----- Divide both sides by 6

5 0
1 year ago
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nadezda [96]
3/4 a mile is the answer
4 0
2 years ago
15 crackers weigh 69 grams. how many kilograms is this?
Marrrta [24]

Answer:

0.069\ kg

Step-by-step explanation:

we know that

1 kg=1,000 g

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using proportion

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Let

x -----> the weight in kg

\frac{1}{1,000}\frac{kg}{g} =\frac{x}{69}\frac{kg}{g}\\\\x=\frac{69}{1,000}\\\\x=0.069\ kg

6 0
3 years ago
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