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Allushta [10]
3 years ago
13

Can you help me with this? 7

Mathematics
1 answer:
andrezito [222]3 years ago
4 0

Answer:

65º

Step-by-step explanation:

  • The angle of a straight line is 180º, so ∠ABD=180º and ∠ABC=(180-6x)º
  • The sum of the interior angles of a triangle is 180, so (x+40)º+(3x+10)º+(180-6x)º=180
  • We can solve from there, x+40+3x+10+180-6x=180
  • Combine like terms, -2x+230=180
  • Subtract 230, -2x=-50
  • Divide by -2, x=25
  1. m∠CAB=(x+40)º=(25+40)º=65º
  2. m∠ABC=(180-6x)º=(180-150)º=30º
  3. m∠BCA=(3x+10)º=(75+10)º=85º
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If AB = 11 and AC = 26, find the length of BC
Finger [1]
15 since 26- 11 = 15 and the a is on one end and the c is on the other end, and the b is somewhere in the middle
4 0
3 years ago
A campsite is 12.88 miles from a point directly below Mt. Adams. If the angle of elevation is 15.5° from the camp to the top of
nata0808 [166]

Answer:

3.57 miles

Step-by-step explanation:

Please consider the attachment.

We have been given that a campsite is 12.88 miles from a point directly below Mt. Adams. The angle of elevation is 15.5° from the camp to the top of the mountain. We are asked to find the height of the mountain.

We can see from the attachment that h is opposite side to angle 15.5 degrees and 12.88 miles in adjacent side.

We know that tangent relates opposite side of right triangle with its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(15.5^{\circ})=\frac{h}{12.88}

\text{tan}(15.5^{\circ})\cdot(12.88)=\frac{h}{12.88}\cdot(12.88)

12.88\cdot\text{tan}(15.5^{\circ})=h

h=12.88\cdot\text{tan}(15.5^{\circ})

h=12.88\cdot(0.27732454406)

h=3.5719401274928

h\approx 3.57

Therefore, the mountain is approximately 3.57 miles high.

4 0
3 years ago
2x + 4(x+3)= 42 I just want to give people some points also I need this answer
NARA [144]
Reduces to 6x=30
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5 0
3 years ago
Read 2 more answers
1. How many ways are there to make an octagon with 19 different sticks when order DOESN’T matter?
Oksanka [162]

Answer:

1. 75582

2. 3047466240

Step-by-step explanation:

1.  If order does not matter, this is a combination problem.  You are choosing 8 sticks from a set of 19. (Octagons have 8 sides.)

The formula for combinations of n things chosen r at a time "n choose r" is

_nC_r = \frac{n!}{r!(n-r)!}

_19C_8=\frac{19!}{8!(19-8)!} = \frac{19!}{8!11!}=75582

2. If order matters, there are more possibilities. This is a permutation problem.  The number of permutations of 19 things taken 8 at a time, "19 permute 8" is

_nP_r=\frac{n!}{(n-r)!} \\ _{19}P_8=\frac{19!}{(19-8)!} = 3047466240

6 0
3 years ago
Need help will give brainliest!!!
ohaa [14]

Answer:

A

Step-by-step explanation:

they took the square root of both sides

4 0
4 years ago
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