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Westkost [7]
3 years ago
11

What is the value of the angle ?

Mathematics
1 answer:
Ivan3 years ago
8 0

Answer:

47°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

124° is an exterior angle , thus

77 + ? = 124 ( subtract 77 from both sides )

? = 47°

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Fractions: three oil tankers together contain 37 5/7 litres of oil. If two tankers have 11 3/14 litres and 12 3/7 litres of oil.
ale4655 [162]

Step-by-step explanation:

It is given that, three oil tankers together contain 37 5/7 litres of oil.

Total volume of oil is \dfrac{264}{7}\ L

If two tankers have 11 3/14 litres and 12 3/7 litres of oil.

Oil in first tanker is \dfrac{157}{14}\ L

Oil in second tanker is \dfrac{87}{7}\ L

Oil in first and second tanker is :

\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L

Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )

=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L

Hence, this is the required solution.

4 0
3 years ago
Subtract: ( - 2x4 - 4y + 4z² +6) - (-9x4 – 3y + 4z? +9) 0 - 7x² + y + 3 0 - 11x4 - 7 - 3​
Vinil7 [7]

Answer:  

36x-3y+4z^2+26-7x^2

Step-by-step explanation:

Okay well for starters, you can't subtract that because it's an expression, not an equation. And secondly, there was '?' which I'm going to assue=me was a typing error.

Now to actually simplify this mess of an expression, you just need to combine the like-terms! Once you do that you really can't do anything else, since you don't know the varibles.

5 0
3 years ago
Find the area or this triangle ​
Arlecino [84]

Answer:

Area of triangle = 15 square units

Step-by-step explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is: Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))

We have: x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5

Putting values and finding area

Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15

3 0
3 years ago
given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.
Serggg [28]

Answer:

Not a triangle.

Step-by-step explanation:

Sum of the two smaller sides must be greater than the largest side.

8 0
3 years ago
What is 3 times 7 plus 5 minus 2 subtracted by 3 plus y y equals 106
Rashid [163]

Answer:

127

Step-by-step explanation:

3 x 7 + 5 - 2 -  3 + y

y = 106

3x7 = 21

21 + 5 = 26

26 - 2 = 24

24 - 3 = 21

21 + 106 = 127

6 0
3 years ago
Read 2 more answers
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