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zheka24 [161]
3 years ago
12

5 (-3p +7) + 5 (p -1)

Mathematics
2 answers:
RSB [31]3 years ago
4 0
5(-3p + 7) + 5(p - 1) = 0
-15p + 35 + 5p - 5 = 0
-10p + 30 = 0
-10p = -30
p = 3
gtnhenbr [62]3 years ago
3 0
Well first u gotta simplify the equation by multiplying the outside number (the 5) into the parenthesis.

Original: 5(-3p+7)
simplified: -15p+35

and then you do the same for the other part.

Original: 5(p-1)
Simplified: 5p-5

Now thats done, you now have the new equation as -15+35+5p-5

And finally you combine like terms and your final answer should be -10p+30
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2 years ago
In ΔABC, m∠B = m∠C. The angle bisector of ∠B meets AC at point H and the angle bisector of ∠C meets AB at point K. Prove that BH
solniwko [45]

Answer:

See explanation

Step-by-step explanation:

In ΔABC, m∠B = m∠C.

BH is angle B bisector, then by definition of angle bisector

∠CBH ≅ ∠HBK

m∠CBH = m∠HBK = 1/2m∠B

CK is angle C bisector, then by definition of angle bisector

∠BCK ≅ ∠KCH

m∠BCK = m∠KCH = 1/2m∠C

Since m∠B = m∠C, then

m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH   (*)

Consider triangles CBH and BCK. In these triangles,

  • ∠CBH ≅ ∠BCK (from equality (*));
  • ∠HCB ≅ ∠KBC, because m∠B = m∠C;
  • BC ≅CB by reflexive property.

So, triangles CBH and BCK are congruent by ASA postulate.

Congruent triangles have congruent corresponding sides, hence

BH ≅ CK.

5 0
3 years ago
Look at this expression.
g100num [7]
Multiply x<span> and </span>3

<span>Multiply x and 1</span>

<span>The x just gets copied along.</span>

<span>The answer is x</span>

x

<span>3*x evaluates to 3x</span>

Because of the minus sign

<span>3x becomes - 3x</span>

<span>The answer is -3x</span>

<span>Multiply y and 2</span>

<span>Multiply y and 1</span>

<span>The y just gets copied along.</span>

<span>The answer is y</span>

y

<span>2*y evaluates to 2y</span>

<span>-3*x-2*y evaluates to -3x-2y</span>

<span>The answer is -3x-2y-2</span>

<span>-3*x-2*y-2 evaluates to <span>-3x-2y-2</span></span>

<span><span>so the first one is right</span></span>

<span><span>
</span></span>

4 0
3 years ago
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olya-2409 [2.1K]

Answer:

2/5, 4/7, 5/2

Step-by-step explanation:

5/2=2.5     2/5=.40    4/7= .59 that's aproximately  for 4/7

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