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lesya [120]
3 years ago
10

Sum of two numbers is 38, one number is 36 more than the other. find the numbers

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0
One number is 1 and the other one is 37. Coz u can make two variables x and y then make two functions x+y=38 and x-y=36 then solve it
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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
A team of scientists estimate the current number of butterflies in a park to be 20 thousand. The butterfly population is expecte
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Triangle PQR has vertices P(-2,8), Q(2, 4), and R(4,6). Which best describes triangle PQR?
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Step-by-step explanation:

7 0
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Reika [66]

The perimeter of Jake window is 16x - 2 inches

<h3><u>Solution:</u></h3>

Given that height of Jake window is 5x - 3 inches

Also given that width is 3x + 2 inches

To find: perimeter of Jake window

We know that, in general a window is of rectangular shape

<em><u>The perimeter of rectangle is given as:</u></em>

Perimeter of rectangle = 2(length + width)

Substituting the values we get,

Perimeter of rectangle = 2(5x - 3 + 3x + 2)

Perimeter of rectangle = 2(8x - 1) = 16x - 2

Hence, the perimeter of the window is 16x – 2 inches

4 0
3 years ago
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