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grandymaker [24]
4 years ago
12

Greg and Lu are building a toy hydraulic crane, as shown in the picture.

Mathematics
2 answers:
iVinArrow [24]4 years ago
6 0
So,

Notice that there is a triangle with two of the angles given.  We know that the sum of any triangle's angles will always be 180°.  Thus, we can subtract the two given angles from 180, and that will give us the measure of angle ABC.

180 - 20 - 25 = 160 - 25 = 135

The measure of angle ABC is 135°.

The correct option is D.
Aleks [24]4 years ago
5 0

Answer:

D

Step-by-step explanation:

credit goes to the one that answered it


Notice that there is a triangle with two of the angles given.  We know that the sum of any triangle's angles will always be 180°.  Thus, we can subtract the two given angles from 180, and that will give us the measure of angle ABC.


180 - 20 - 25 = 160 - 25 = 135


The measure of angle ABC is 135°.


The correct option is D.

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On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/
den301095 [7]

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

Speed=\dfrac{Distance}{Time}

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

2.5=\dfrac{d}{t}

2.5t=d      ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

4=\dfrac{d}{t-15}

4(t-15)=d      ...(2)

From (1) and (2), we get

4(t-15)=2.5t

4t-60-2.5t=0

1.5t=60

t=40

Put t=40 in (1).

d=2.5(40)=100

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}

\text{Average speed}=\dfrac{200}{65}

\text{Average speed}\approx 3.08

Therefore, the average speed is 3.08 km/h.

3 0
4 years ago
On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephon
nalin [4]
E. 72
6 feet long cast shadow = 24 feet pole
18 feet long cast shadow = 72 feet pole
18/6=3
24x3=72
5 0
4 years ago
Find the derivative of<br> <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B6%7D%7Bx%7D%20" id="TexFormula1" titl
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8 0
3 years ago
Can u help me please :)
GuDViN [60]
She has to go down 4, back up to 0, and then up another 4, then back to 0.I<span>f positive 1 represents the first level above ground, negative numbers are a good choice to represent levels below ground. 8 flights; starting at -4 and moving to 4.</span>
7 0
3 years ago
Solve –4(6x + 3) = –12(x + 10).
Artist 52 [7]
<span>–4(6x + 3) = –12(x + 10)
 -24x - 12 = -12x - 120
24x - 12x = 120 - 12
12x = 108
x = 9

</span>
7 0
3 years ago
Read 2 more answers
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