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Artemon [7]
1 year ago
5

Please help me with math

Mathematics
1 answer:
Marat540 [252]1 year ago
4 0

The area of triangle BMN is 124.7 square centimeter.

<h3>What are similar triangles?</h3>

Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.

Analysis:

AB = AC = BC = 50cm

AH = AC/2 = 50/2 = 25cm

From Δ ABH, using Pythagoras theorem to find BH.

(BH)^{2} = (AB)^{2} - (AH)^{2}

(BH)^{2} = 50^{2} - 25^{2}

(BH)^{2} = 2500 - 625

(BH)^{2} = 1875

BH = \sqrt{1875} = 43.3cm

ΔBMN and BHC are similar,

so, BM/BH = MN/HC

BM/43.3 = 12/25

25BM = 12 X 43.3

BM = 519.6/25 = 20.78cm

Area of ΔBMN

= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter

Learn more about similar triangles: brainly.com/question/2644832

#SPJ1

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Jet001 [13]

Answer:  Choice C

Closed filled in circle at -3; shading to the right.

========================================================

Explanation:

Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.

-4x+8 \le 20\\\\-4x \le 20-8\\\\-4x \le 12\\\\x \ge 12/(-4)\\\\x \ge -3\\\\

Here's another way to isolate x

-4x+8 \le 20\\\\8 \le 20+4x\\\\4x+20 \ge 8\\\\4x \ge 8-20\\\\4x \ge -12\\\\x \ge -12/4\\\\x \ge -3\\\\

The inequality sign flip happens much earlier when we go from the format of A \le B to B \ge A  (in step 3)

The graph of this will have a closed filled in circle at -3, then shading to the right to describe all values -3 or larger.

This is why we go for choice C.

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