Answer:
C:
Step-by-step explanation:
Both angles add up to 180°
<BCG + <BFG = 180°
2x+146+4x+238=180
6x+384 = 180°
6x = 180-384
6x = -204
Dividing both sides by 6
x = -34
Answer:
1
Step-by-step explanation:
It means that every unit of mini boat requires 2 pounds of wood and 3 ounces of glue.
As such 3 pounds of wood can only be used to build one mini boat and there will be one pound of wood left. With 6 ounces of gold, the builder can build 2 boats (6/3).
However, the wood becomes the limiting factor that determines the number of mini-boats that can be made. Hence with 3 pounds of wood and 6 ounces of glue, the builder can only build a mini-boat.
Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
Answer:
A) 0.38
Step-by-step explanation:
By SOH CAH TOA, the <em>sine of an angle is its opposite side divided by the hypotenuse</em>.
<em>The opposite of ∠C is 5, and the hypotenuse is 13</em>.
So, sin(C) = 5/13 ≈ 0.38.
Answer:
The triangle is a right triangle
Step-by-step explanation:
For the triangle to be right, Pythagoras’ theorem must be obeyed
According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides
Now, from the given side lengths, the highest value is 10;
squaring this, we have 10^2 = 100
Squaring and adding the other values, we have
6^2 + 8^2 = 36 + 64 = 100
This mean the values are equal and the Pythagoras’ theorem is obeyed
Hence, we can conclude that the triangle with the given side lengths is a right triangle
