Which two triangles are congruent by ASA? MP bisects QO and angle MQP congruent angle ROP

Mathematics

2 answers:

konstantin123 [22]3 years ago

4 0

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Step-by-step explanation:

pogonyaev3 years ago

3 0

Triangle MQP and RPO

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HELP WITH THIS PLEASE

Flauer [41]

Step-by-step explanation:

1a.

$(2 {p}^{2} )^{3} = {2}^{3} {p}^{6} = 2p \times 2p\times 2p\times p\times p\times p$

(2p^2)^3 without exponents will represent 2p being multiplied by 2p 2 times and by p 3 times.

1b. Solve:

Include exponent outside parenthese:

${2}^{3} {p}^{2 \times 3}$

$8 {p}^{6}$

8p^6 is your answer for part B.

7 0

2 years ago

All the edges of a cube have the same length. Tony claims that the formula SA = 6s, where s is the length of

Darina [25.2K]

Answer:

Here's what I get

Step-by-step explanation:

a. Net of a cube

Fig. 1 is the net of a cube

b. Does the formula work?

Tony's formula works if you ignore dimensions.

There are six squares in the net of a cube.

If each side has a unit length s, the total area of the cube is 6s.

c. Will the formula work for any rectangular prism?

No, because a rectangular prism has sides of three different lengths — l, w, and h — as in Fig. 2.

d. Area of a rectangular prism

A rectangular prism has six faces.

A top (T) and a bottom (b) — A = 2×l×w

A left (L) and a right (R) — A = 2×l×h

A front (F) and a back (B) — A = 2×w×h

Total area = 2lw + 2lh + 2wh

If l = 5 m, w = 6 m and h = 8 m,

$\begin{array}{rl}A &=& \text{2$\times$ 5 m $\times$ 6 m + 2$\times$ 5 m $\times$ 8 m + 2 $\times$ 6 m $\times$ 8 m}\\&=& \text{60 m}^{2} + \text{80 m}^{2} + \text{96 m}^{2}\\&=& \textbf{236 m}^{2}\\\end{array}$