The three scores are 86, 74, and an unknown score x. The average (i.e. the sum divided by how many there are) is 80, so we have
Multiply both sides by 3 and you get
Subtract 160 from both sides to get
Note: you could solve this exercise very quickly if you notice that the two numbers, 86 and 74, are symmetrical with respect to 80, which is the average. So, the third number must be the average.
Answer:
A. Congruent angles have the same measure.
Step-by-step explanation:
In geometry, 2 objects are congruent if they have the same shape. As such, congruent angles are formed from such shapes. Irrespective of the unit of measurement (in degrees or radians), congruent angles are equal.
This is independent of the direction of the angles.
Hence the right option is
A. Congruent angles have the same measure.
I got 16 but not 100% sure if it’s right
Sorry if it’s wrong, I tried my best
Answer:
D) 20°
Step-by-step explanation:
Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.
57° + 30° + x = 180°
Simplify: 87° + x =180°
x=93°
By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.
67° + 93° + y = 180°
Simplify: 160° + y = 180°
y=20°
You put them in fractions then cross multiple.
18/12 and 3/x so that's 36 equals 18x then you divide 36 by 18 which is 2.