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zalisa [80]
3 years ago
14

What is the value of x? Enter your answer, as a decimal, in the box. m

Mathematics
2 answers:
UkoKoshka [18]3 years ago
7 0
X / 96.6 =  (80.5 - 35) / 80.5  ( because the small and large triangles are similar,  because of the parallel lines)

x / 96.6 =  45.5 / 80.5

x = 96.6 * 45.5  / 80.5 =  54.6 m (answer)
Lera25 [3.4K]3 years ago
7 0

Answer:

x = 54.6 m

Step-by-step explanation:

Comparing two sides of the two triangles in the diagram,

      \frac{/MB/}{/MP/} = \frac{/MA/}{/MN/}

       \frac{X}{96.6} = \frac{45.5}{80.5}

cross multiply,

80.5 x = 45.5 × 96.6

80.5 x = 4395.3

divide through by 80.5,

x = 54.6

∴x = 54.6 m

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Consider the two triangles. Triangles A B C and H G I are shown. Angles A C B and H I G are right angles. The length of side A C
zheka24 [161]

Answer:

Both are similar by SAS similarity.

This SAS similarity is equivalent to the congruence.

Step-by-step explanation:

Step 1:

To prove that ACB and HIG as similar triangles.

We have to look upon the corresponding sides.

SAS= Side angle sides , there the angle must be in between two sides.

\angle ACB = \angle HIG

Lets work on the corresponding sides.

IG/AC = IH/AC

\frac{9}{15} = \frac{12}{20}

Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.

We have

\frac{3}{5} = \frac{3}{5}

Both sides are equal.

So its proved that both are similar with SAS similarity theorem.

8 0
3 years ago
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Leah decided to paint some of the rooms at her 51 room hotel. She needs 1/5 of a can to paint per room.if Leah had 6 cans of pai
enyata [817]
If 1/5 can for 1 (each) room, then:
for 51 rooms, (51*1/5)=10.2 rooms.
Round to nearest whole number since you can't just paint 0.2 of a room: answer = 10
5 0
3 years ago
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I need help with my math
mrs_skeptik [129]

Answer:

A=28

B=18

C=18

D=28

E=28

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Step-by-step explanation:

3 0
2 years ago
The figure shows two parallel lines KL and NO cut by the transversals KO and LN.
Sever21 [200]

Answer:

(A)  

Step-by-step explanation:

From the given figure, we have to prove whether the two given triangles are congruent or similar.

Thus, From the figure, ∠3=∠4 (Vertically opposite angles)

Since, KL and NO are parallel lines and KO and LN are transversals, then

measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).

Thus, by AA similarity rule, ΔKLM is similar to ΔONM.

Thus, Option A that is Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5 is correct.

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3 years ago
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Find the value of x round to the nearest tenth
gayaneshka [121]
Tan inverse 3/5 is 30.96
so the answer is x = 31.0
3 0
3 years ago
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