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lakkis [162]
3 years ago
15

I don't know what to write! Help me please​

Mathematics
1 answer:
Andrews [41]3 years ago
3 0
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Please explain how to solve for x in the attached photo.
natulia [17]

Answer:

x = 24°

Step-by-step explanation:

the sum of the interior angles in a triangle = 180°

so:

(2x + 5°) + 64° + 3x - 9° = 180°

combine like terms:

5x + 60° = 180°

subtract 60° from each side of the equation:

5x = 120°

x = 24°

5 0
2 years ago
You bike 1 mile the first day of your​ training, 1.3 miles the second​ day, 1.9 miles the third​ day, and 3.1 miles the fourth d
JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

d_1=1 mi is the distance travelled during the 1st day

d_2=1.3 mi is the distance travelled during the 2nd day

d_3=1.9 mi is the distance travelled during the 3rd day

d_4=3.1 mi is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2

Which can be rewritten using the general formula:

d_{n+1}-d_n=2(d_n-d_{n-1})

This means that

d_{n+1}=d_n+2(d_n-d_{n-1})

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi

So, the  distance travelled on the 7th day is 19.9 miles.

7 0
3 years ago
The graph below represents which system of inequalities?<br>​
Sav [38]

Answer:

the second one pretty sure

8 0
3 years ago
Read 2 more answers
A conveyor belt carries supplies from the first floor to the second floor, which is 26 feet higher. The belt makes a 60° angle w
tamaranim1 [39]
<h3>Answer:</h3>

30 ft; 0.4 min

<h3>Step-by-step explanation:</h3>

The mnemonic SOH CAH TOA reminds you ...

... Sin = Opposite/Hypotenuse

Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...

... Hypotenuse = Opposite/Sin

Filling in the values from this problem, we have ...

... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft

The time it takes to travel that distance is given by ...

... time = distance/speed

... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min

3 0
3 years ago
X squared plus 8 squared equals 9<br> What is X?
BabaBlast [244]

Answer:

x = i\sqrt{55} , -i\sqrt{55}

Step-by-step explanation:

x^2 + 8^2 = 9

Simplify the 8^2

x^2 + 64 = 9

Subtract 64 from both sides

x^2 = -55

Take the square root from both sides

x = +/- \sqrt{-55}

Simplify

x = i\sqrt{55} , -i\sqrt{55}

Hope this helps!

4 0
3 years ago
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