Answer:
-8, 16, ...
Step-by-step explanation:
You are subtracting 8 everytime. Therefore, you would go into negatives from here.
Answer:
(a) 90°
(b) 8.75
(c) 63.75°
(d) 26.25°
Step-by-step explanation:
(a) A radius to a point of tangency is always perpendicular to the tangent line there. Q is the point of tangency of line PQ, so the segment RQ from the center of the circle, R, to that point makes a 90° angle with PQ. Angle RQP is 90°.
(b) The sum of the acute angles of a right triangle is 90°, so ...
(5x +20)° + (3x)° = 90° . . . . . the sum of the acute angles is 90°
8x + 20 = 90 . . . . . . . . . . . . simplify, divide by °
8x = 70 . . . . . . . . . . . . . . . . . subtract 20
70/8 = x = 8.75 . . . . . . . . . . . divide by the coefficient of x
(c) ∠QRP = (5x+20)° = (5·8.75 +20)° = 63.75° . . . . . use the value of x in the expression for the angle measure
(d) ∠RPQ = (3x)° = (3·8.75)° = 26.25° . . . . . use the value of x in the expression for the angle measure
Answer:
m∠KML = 35°
Step-by-step explanation:
This is an isosceles triangle because 2 of the sides are equal so we know the 2 unknown angles are equal. The 3 angles of any triangle always add up to 180° so since we know 1 angle is 110° then the 2 unknown angles must add up to 70° (because 180° minus the known 110° leaves us with 70°). Since we know the 2 unknown sides are equal 70° ÷ 2 = 35°. So, m∠KML = 35°
I'm pretty sure its the first choice. Similar means same ratio and congruent means equal. But this was 9th grade for me :)
Answer:
writing mixed numbers as improper fractions
Step-by-step explanation:
To convert a mixed fraction to an improper fraction, follow these steps:
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
https://www.mathsisfun.com/improper-fractions.html