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2 years ago

13

10. MP Persevere with Problems A survey found that

1 answer:

oee [108]2 years ago

3 0

question: A survey found that 80% of teens enjoy going to the movies in their free time. Out of 5,200 teens, predict how many said that they do not enjoy going to the movies in

their free time.

the answer: 1040 teens

explain:

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The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th

insens350 [35]

Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

$c^{2} = (c-2)^{2} + \frac{c-1}{2}\\$

$c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}$

$4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c$

$4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c$

$c^{2}-18c+17=0$

$c(c -17)-1(c-17)=0$

$(c -1)(c-17)=0$

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = $\frac{17-1}{2} = 8$

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0

2 years ago

Helloo!!! please help me on this !!!!

ivann1987 [24]

It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°

$\mathfrak{10x - 18 = 8x}$

$\mathfrak{10x - 8x = 18}$

$\mathfrak{2x = 18}$

$\mathfrak{x = \dfrac{18}{2}}$

$\underline{\mathfrak{x = 9}}$

Measure of ∠R :

$\mathfrak{8x}$

$\mathfrak{8(9)}$

$\boxed{\mathfrak{72^{\circ}}}$

ღ ꪑ꠸᥅ꫀꪊ

7 0

1 year ago

What's bigger? (6×5)⁷÷(-3)⁷ or (6×5)⁴÷(-3)⁴

max2010maxim [7]

The second one is bigger as the square is a even number with the negative whole

7 0

2 years ago

I need help plss its hard for me pls help and show the WORK plsss

My name is Ann [436]

Is there a picture of the question?

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2 years ago

Which is a unit rate?

stiv31 [10]

The answer A is the unit rate:)

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2 years ago

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