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aleksley [76]
2 years ago
10

HURRY PLEASE What is measure of

Mathematics
1 answer:
Blizzard [7]2 years ago
3 0

First, find the supplement of the angle that is 105 degrees.

105 + 75 = 180

Now, we can find complete the lower left triangle's angles.

39 + 75 + ? = 180

? = 66 degrees

The 66 degree angle of the lower left triangle and angle x are vertical angles. Vertical angles are congruent.

Therefore, the measure of angle x is 66 degrees.

Hope this helps!

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Find the distance from the line passing through points P(0,0,0) and Q(9,0,0) to the line passing through points R(3,-2,4) and S(
Alika [10]

Answer:

Step-by-step explanation:

Let the I line be PQ and II line be RS

Direction ratios  of PQ = (9,0,0) and direction ratios of RS = (0, -4, -12)

Distance between skew lines

=(a1-a2).(b1xb2)/|b1xb2|

where a1 and a2 are points

Here a1-a2 = (-3,2,-4) taking P and Q as points.

b1 = (9,0,0) and b2 = (0,-4,-12)

Shortest Distance = (a2-a1).(b1xb2)/|b1xb2|

De\left[\begin{array}{ccc}-3&2&-4\\9&0&0\\0&-4&-12\end{array}\right]

Numerator = -9(-24-16)=360

Denominator vector = i(0)-j(-108)+k(-36)

Modulus  of vector =\sqrt{108^2+36^2} =36\sqrt{10}

Hence Shortest distance = \sqrt{10}

4 0
3 years ago
The temperature was 8°C then the temperature feel 9°C what was the temperature after it fell?
Vladimir79 [104]

Answer:

-1°C

Step-by-step explanation:

8°C - 9°C = -1°C

Hope it helps

4 0
4 years ago
When you are multiplying powers, what are you actually doing with the exponents?
givi [52]
If you have (3^4)^3 then you multiply the two exponents to get 3^12. if you have 3^4 x 3^3 then you add the exponents to get 3^7
8 0
3 years ago
Read 2 more answers
What is the area of the figure below ?
Airida [17]

Answer:

Step-by-step explanation:

Area of the figure = area of the down triangle + area of trapezium + area of the upper triangle

Down triangle:

Base b = 8 in

Height = 6 in

Area = \frac{1}{2}bh\\=\frac{1}{2}*8*6\\\\=4*6

= 24 in²

Trapezium:

bases a = 4 in & b = 6 in

Height h =  5 in

Area=\frac{(a+b)h}{2}\\\\=\frac{(4+6)*5}{2}\\\\=\frac{10*5}{2}\\\\=5*5

= 25 in²

Area of the upper triangle:

Base b = 6 in

Height = (8 - 5) = 3 in

Area=\frac{1}{2}bh\\\\=\frac{1}{2}*6*3\\\\=3*3

= 9 in²

Area of the figure = 24 + 25 + 9 = 58 in²

3 0
3 years ago
Read 2 more answers
Describe the graph of the function f(x) = x3 − 15x2 68x − 96. Include the y-intercept, x-intercepts, and the shape of the graph
solong [7]
So this would be a cubic graph because the largest exponent is a 3.

The Y-intercepts can be found by making all the x's equal 0, so then that would end up being -96 (makes sense considering a cubic graph intercepts at the origin, and this graph moves it down 96 units.

The X-intercepts (the zeros) are a bit tricky. We know that there will likely be three zeros because the exponent is a three. The zeros for this graph are 3, 4, and 8

So in Summary:

This is a Cubic graph with X-intercepts at (3,0), (4,0) and (8,0) and with Y-intercept at (0,-96)
5 0
3 years ago
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