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Step2247 [10]
1 year ago
7

Look at thetriangles diagram. The value of x is ___ °

Mathematics
1 answer:
NemiM [27]1 year ago
4 0

By solving a linear equation we will see that the value of x is 10.

<h3></h3><h3>How to find the value of x?</h3>

Remember that for any triangle, the sum of all internal angles is always equal to 180°.

Here only look at triangle BCD, we know that:

m∠DBC = m∠ABC = 3x

m∠BCD = m∠ACB + m∠ABD = 2x + 65°

m∠ADC = 65°

Now we can write the linear equation as:

3x + 2x + 65° + 65° = 180°

5x + 130° = 180°

5x = 180° - 130°

5x = 50°

x = 50°/5 = 10°

The value of x is 10.

Learn more about triangles:

brainly.com/question/14285697

#SPJ1

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algol [13]
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6 0
3 years ago
A tree 12m high is broken by the wind in such a way that its top touches the ground and makes an angle 60° with the ground. at w
Katena32 [7]

The height of broken part of tree from ground is 5.569m.

Justification:

Let BD is a tree of height 12 m.

<u>Suppose it got bent at a point C and let the part CD take the position CA, meeting the ground at A</u>.

i.e., CD = AC = h m

<u>Broken part makes 60° angle from ground</u>

So, ∠BAC = 60°

<u>Now, height of remaining part of tree</u> = (12 – h)m.

In right angled ∆ABC,

sin 60° = BC/AC

⇒ √3/2 = (12 - h)/h

⇒ √3h = 2(12 – h)

⇒ √3h = 24 – 2h

⇒ √3h + 2h = 24

⇒ h(√3 + 2) = 24

⇒ h(1.732 + 2) = 24

⇒ h(3.732) = 24

⇒ h = 24/3.732 = 6.4308 m

<u>Hence, height of broken tree from ground</u>

⇒ BC = 12 – h

⇒ 12 – 6.4308 = 5.569m

<u>Hence, tree is broken 5.569 m from ground</u>.

<u>Note</u>: See attached picture.

4 0
3 years ago
7 | 6.3 | =<br><br><br><br> help meeeeee
MakcuM [25]

Answer:

i would say 1.111111111111 you get it it keeps going

6 0
3 years ago
Read 2 more answers
Please help click on the image below
Shtirlitz [24]
I believe that is c if I'm wrong I'm very sorry
6 0
3 years ago
there are 9 boys in a class of 14 students. a)what is the ratio of boys to girls. b) what is the ratio of girls to all students
ElenaW [278]

Answer:

a). 9 to 5

b). 5 to 14

Step-by-step explanation:

If there are 9 boys then there are 5 girls because 14 - 9 = 5.

So, there are 5 girls of 14 students in the class.

4 0
3 years ago
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