A forest ranger at the top of a 350-foot fire tower spots a forest fire. He
determines the angle of depression is 18º. How far is the forest ranger from the fire?

Answer:

The answer is option B, reflected over the y-axis and translated 2 units down.

Answer:

Y=5/2x-3

Step-by-step explanation:

The equation's slope is -4/10, which simplifies to -2/5. The reciprical of this, 5/2, is the slope of a perpendicular line. The first possibility you commented is the only one to have this slope.

Answer:

-9

Step-by-step explanation:

becuase 5/8/6=-9

Answer:

i guess the two numbers were obtuse angles

Angle 1 and angle 5 are corresponding angles.

When two parallel lines are crossed by another line, comparable angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).

Given:

Two lines cut by line t.

And lines are not parallel.

So, angle 1 and angle 5 are corresponding angles.

Therefore, corresponding angles is the required statement.

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Answer:

She spent 45 dollars on squeaky toys.

Step-by-step explanation:

If we divide 63 by 7 we would get 9, then if we multiply that number by 2 for the bones, we are left with 5/7, finally if we multiply the 5 by 9 you would get 45, or 45 dollars.

Answer:

I think the answer is A

Step-by-step explanation:

8x4=32

then A says 32xpi

8

+

6

4                HAVE A GREAT DAY!

Answer:

your answer will be 172.8m³

Step-by-step explanation:

have a nice day!!!

Answer: 22 m

Step-by-step explanation:

I think it's 22 but not sure though.

Answer:

Sorry, I can't see what your question is.

Step-by-step explanation:

Answer:

the hawk has flow 824.62 meters southwest of the mountain peak.

Step-by-step explanation:

In order to find the distance we need to use the Pythagoras theorem

d^2 = 800^2 + 200^2

d= 824.6 m

we can find the direction by using the eq for a tangent

he opposite side is 200 m and the adjacent side is 800m

tan theta = opposite / adjacent

theta = arc tan (800/200)

The hawk is at a distance of 824.6m flying at an angle 76 degrees NE of the mountain peak.

The final location will be southwest of the mountain peek.

a2+b2=c2

a = 200

b= 800

c = √(2002+8002) = 824.62

So the hawk has flow 824.62 meters southwest of the mountain peak.

Using the triangle similarity theorems, the given pairs of triangles can be proven to be similar:

1.  [tex]\triangle STR $ and $ \triangle PQN[/tex] are similar by the SSS similarity theorem

2.  [tex]\triangle EFG $ and $ \triangle JHG[/tex] are similar by the AA similarity theorem.

3.  [tex]\triangle XYZ $ and $ \triangle XWT[/tex] are similar by SAS similarity theorem.

4. [tex]\triangle ANF $ and $ \triangle SEH[/tex] are similar by the AA similarity theorem.

5. [tex]\triangle RNQ $ and $ \triangle MNL[/tex] are similar by the SAS similarity theorem.

6. [tex]\triangle ECD $ and $ \triangle LMN[/tex] are similar by the SSS similarity theorem.

7.  [tex]\triangle AEB $ and $ \triangle BDC[/tex] are not similar.

8.  [tex]\triangle JLN $ and $ \triangle KLM[/tex] are similar by the SAS similarity theorem.

9.  [tex]\triangle SUT $ and $ \triangle WUV[/tex] are similar by the AA similarity theorem.

10.  [tex]\triangle DHK $ and $ \triangle BAE[/tex] are similar by the SAS similarity theorem.

The following are triangle similarity theorems that can be used to prove that two triangles are similar if we don't have all the information about the two triangles:

Using the above stated similarity theorems, let's prove the given pairs of triangles are similar or not:

1. [tex]\frac{ST}{PQ} = \frac{SR}{NP} = \frac{TR}{NQ}[/tex]

Plug in the values

[tex]\frac{55}{25} = \frac{44}{20} = \frac{37.4}{17} = 2.2[/tex] (All three sides of one triangle are proportional to all three sides of the other triangle).

Therefore,  [tex]\triangle STR $ and $ \triangle PQN[/tex] are similar by the SSS similarity theorem.

2. <F in [tex]\triangle EFG[/tex] is congruent to <H in [tex]\triangle JHG[/tex]

<EGF in  [tex]\triangle EFG[/tex] is congruent to <JGH in  [tex]\triangle JHG[/tex]

Therefore, [tex]\triangle EFG $ and $ \triangle JHG[/tex] are similar by the AA similarity theorem.

3.<YXZ in [tex]\triangle XYZ[/tex] is congruent to <WXT in [tex]\triangle XWT[/tex]

[tex]\frac{XY}{XW} = \frac{XZ}{XT}[/tex]

Substitute

[tex]\frac{35}{28} = \frac{38}{30} = 1.3[/tex]

This implies that the two corresponding sides of [tex]\triangle XYZ $ and $ \triangle XWT[/tex] are proportional to each other. Also the included angles are congruent.

Therefore, [tex]\triangle XYZ $ and $ \triangle XWT[/tex] are similar by SAS similarity theorem.

4. <A = <S = 29 degrees

<N = <E = 106 degrees (Note: <E = 180 - 29 - 45)

Therefore, [tex]\triangle ANF $ and $ \triangle SEH[/tex] are similar by the AA similarity theorem.

5. <RNQ in [tex]\triangle RNQ[/tex] is congruent to <MNL in [tex]\triangle MNL[/tex] (an included angle is congruent to each other)

[tex]\frac{MN}{NR} = \frac{LN}{NQ} = 1.25[/tex] (two sides of both triangles are proportional)

Therefore, [tex]\triangle RNQ $ and $ \triangle MNL[/tex] are similar by the SAS similarity theorem.

6. [tex]\frac{EC}{LM} = \frac{ED}{LN} = \frac{CD}{MN} = 1.8[/tex]  (three sides of both triangles are proportional).

Therefore, [tex]\triangle ECD $ and $ \triangle LMN[/tex] are similar by the SSS similarity theorem.

7. The information given is not enough to prove that the two triangles are similar by any of the similarity theorems.

Therefore, [tex]\triangle AEB $ and $ \triangle BDC[/tex] are not similar.

8. <JLN in [tex]\triangle JLN[/tex] is congruent to <KLM in [tex]\triangle KLM[/tex] (an included angle is congruent to each other)

[tex]\frac{JL}{KL} = \frac{NL}{ML} = 1.4[/tex] (two sides of both triangles are proportional)

Therefore, [tex]\triangle JLN $ and $ \triangle KLM[/tex] are similar by the SAS similarity theorem.

9. <T = <V = 72 degrees

<SUT = <WUV (Vertical angles)

Therefore, [tex]\triangle SUT $ and $ \triangle WUV[/tex] are similar by the AA similarity theorem.

10. <H = <A = 38 degrees (included angles)

[tex]\frac{AB}{HK} = \frac{AE}{HD} = 1.4[/tex]  (two sides of both triangles are proportional)

Therefore, [tex]\triangle DHK $ and $ \triangle BAE[/tex] are similar by the SAS similarity theorem.

In summary, using the triangle similarity theorems, the given pairs of triangles can be proven to be similar:

1.  similar by the SSS similarity theorem

2.  similar by the AA similarity theorem.

3. similar by SAS similarity theorem.

4. similar by the AA similarity theorem.

5. similar by the SAS similarity theorem.

6. similar by the SSS similarity theorem.

7.  not similar.

8. similar by the SAS similarity theorem.

9. similar by the AA similarity theorem.

10.  similar by the SAS similarity theorem.

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Answer:

Step-by-step explanation:

i do not know

Answer:

it's B

Step-by-step explanation:

(x + 5)^2 + (y - 2)^2 = 81

A. is not A

(1 + 5)^2 + (-4 - 2)^2

6^2 + -6^2

36 + (-36) = 0

B. is B

(-5 + 5)^2 + (11 - 2)^2

0^2 + 9^2

0 + 81 = 81

C. is not C

(-5 + 5)^2 + (2 - 2)^2

0^2 + 0^2

0 + 0 = 0

D. is not D

(-3 + 5)^2 + (-8 - 2)^2

2^2 + -10^2

4 + -100 = -98

Answer:

For #5: There are 3 children and 4 adults.

Step-by-step explanation:

Let x= number of children

y= number of adults

y = x + 1

x + y = 7

x + (x+1) = 7

x + x + 1 = 7

2x + 1 = 7

2x = 7 - 1

2x = 6

x = 6/2

x = 3

y = x + 1

y = 3 + 1

y = 4

Therefore, the number of children is 3 and the adults are 4.

Answer:

your answer will be option A. 6.28

Step-by-step explanation:

C=3.14 x 2

C=6.28

hope it helps

Answer:

R'(40, -8)

A'(-16, 32)

T'(48, 24)

Step-by-step explanation:

For this question, simple multiply all the points by 8.

Answer:

All answers could be B, C and D

Step-by-step explanation:

According to the triangle inequality theorem, the combined length of two sides of a triangle cannot exceed the length of the third side. so:

13+8=21

Which means the sides that are less are A, B, C and D

Now A is smaller terms, if we try to use this to apply to a different way:

8+5=13

13=13

This means that the combined terms are NOT as small as the third side, and therefore this length cannot work. Therefore, the only ones left are lengths B, C and D

the line is tangent because it comes from the outside and touches the outer rim of the circle

Answer:

= -30

Step-by-step explanation:

−2+(7)(−4)

=−2+−28

=−30

Answer:

SAS

Step-by-step explanation:

Answer:

15 in

Step-by-step explanation:

(basexheight)/2=area

basex6=45x2

base=45/3

base=15

Answer:

15

Step-by-step explanation:

A if Triangle= 0.5×(b×h)

0.5×(b×6)=45

b×6=45÷0.5

b×6=90

b=90/6=15

Answer:

( x - 1 ) ( 3 x − 4 )

Step-by-step explanation:

3 x 2 − 7 x + 4

For a polynomial of the form  

a x 2 + b x + c

, rewrite the middle term as a sum of two terms whose product is  

a ⋅ c = 3 ⋅ 4 = 12

and whose sum is

b = − 7 .

3 x 2 − 3 x − 4 x + 4

Factor out the greatest common factor from each group.

3 x ( x − 1 ) − 4 ( x − 1 )

Factor the polynomial by factoring out the greatest common factor,  

x − 1 . ( x − 1 ) ( 3 x − 4 )

2=8X

Step-by-step explanation:

I got this online XD

Answer:

d

Step-by-step explanation:

Answer:

358in

Step-by-step explanation:

Use CAH or Cos()=(adj/hyp)

So Cos(36)=(290/h)

Re-Write the equation as h=(290/cos(36)) to get 358 inches

Answer:

The answer is 48.9 cm^2.

Step-by-step explanation:

Let's find the surface areas of the faces other than the base;

triangle area: b x h / 2

4 x 7 = 28, 28/2 = 14

in this case, there are three faces, so 14 x 3 = 42, and we add that with the base to get 48.9

:) hope this helps!

Answer:

yes

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Believe me, dawg!

The series is (d)

A series is the cumulative sum of a given sequence of terms.

Given:

2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87

If we look at the power it is always one less the term i.e., for first term the value of k=0.

So, the series in the form of summation can be written as

[tex]^{88}\sum_{k=1}[/tex] 2.5 (1.2)^(k-1)

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Answer:

The measure of angle B in the triangle is 22

Step-by-step explanation:

have a nice day !!

Answer:

m∠B= 22°

Step-by-step explanation:

∴ ∠A+∠B+∠C= 180

→ [tex]120+x+(x+16)=180[/tex]

→ [tex]x+x+16=180-120[/tex]

→ [tex]2x=60-16[/tex]

→ [tex]2x=44[/tex]   ⇒ [tex]\frac{44}{2} =22[/tex]

So, m∠x°=22°

[tex]------------[/tex]

hope it helps...

have a great day!!

Answer:

tru

Step-by-step explanation: