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Ede4ka [16]
2 years ago
15

Fill in the blanks. Use lower case.

Mathematics
1 answer:
ankoles [38]2 years ago
7 0

Mathematical proofs are used to determine if a conjecture or statement is true, or otherwise.

The blanks will be filled with the following texts

  1. Given
  2. \mathbf{\angle 1 \cong \angle 2}
  3. Proved

From the question, the following parameters are given:

\mathbf{\angle 1 \cong \angle 2} and \mathbf{l \perp 1}

This means that, the first blank will be completed with given.

By converse of alternate interior angles theorem

\mathbf{\angle 1 \cong \angle 2} --- angle 1 and angle 2 are congruent

So, the second blank will be completed with \mathbf{\angle 1 \cong \angle 2}

The above statement means that:

\mathbf{l \perp 1} has been proved

Hence, the last blank will be completed with proved.

Read more about mathematical proofs at:

brainly.com/question/2010495

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The Great Pyramid has a height (h) of about 480 ft, a slant height (l) of about 560 ft and a square base of 756 ft. What is the
suter [353]

Answer: 91,445,760 ft³

Step-by-step explanation:

You know that the base of this pyramid is a square, then you can use the following formula to calculate its volume:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the base of the pyramid and "h" is the height of the pyramid.

You know that:

h=480ft\\s=756ft

Then, you can substitute these values into the formula. So, you get that the volume of The Great Pyramid is:

V=\frac{(756ft)^2(480ft)}{3}=91,445,760ft^3

5 0
3 years ago
Use substitution to solve the system of equations. Write your solution in decimal form
Lera25 [3.4K]

Answer:

(1.6, 7.02)

Step-by-step explanation:

5 more brainliest for expert : )

4 0
2 years ago
CAN SOMEONE PLZzzz Plzzzz HELP!!!???
umka21 [38]
First plot the points. Let’s just use the first graph. When you have done that. Draw a triangle. Find the right angle and look at what line is across from that. That is the hypotenuse. That is the length that you are trying to find. So you have to do your equation: a^2 + b^2 = c^2. A and B have to be the length of the other 2 lines(just count it). When you have done that repack you a and b with your #s. And what ever is equal to you c. Then that is you answer. (Im sorry if this was confusing)
8 0
3 years ago
Given: ΔPSQ, PS = SQ Perimeter of ΔPSQ = 50 SQ – PQ = 1 Find: Area of ΔPSQ
Lana71 [14]

Answer:

  120 units²

Step-by-step explanation:

Perimeter = PS + SQ + PQ

50 = SQ + SQ + (SQ -1)

51 = 3SQ

17 = SQ

17 -1 = 16 = PQ

The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...

  h = √(17² -(16/2)²) = √225 = 15

Then the area is ...

  A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units

8 0
3 years ago
Solve the quadratic by factoring. x to the power of 2+ 12x + 32 = 0​
Ne4ueva [31]

Answer:

x = - 8, x = - 4

Step-by-step explanation:

x² + 12x + 32 = 0 ← in standard form

(x + 8)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x + 4 = 0 ⇒ x = - 4

7 0
2 years ago
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