Answer:
The 135 external angle means its corresponding internal angle is (180–135) 45 degrees. The other internal angle of 65 plus the 45 is 110 degrees. Since the sum of degrees in the angles in a triangle is 180, the other interior angle is (180–110), or 70 degrees.
Step-by-step explanation:
Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
Answer:
In B) y = x/7 , the constant of proportionality is 7.
Step-by-step explanation:
Two quantities X and Y are said to be in proportion if and only if
X = kY or, 
,
where k = Proportionality Constant.
Here, 7 is the constant of proportionality. Then,
A . y = 14x
here, 
≠ 7
B . y = x/7
here, 
= constant of proportionality .
C. y = x
here, 
≠ 7
Terminated. Any decimal that repeats goes on forever. Such as pie: 3.1415...
Answer:
(600 mi) × (5280 ft/mi) × (12 in/ft)
Step-by-step explanation:
A "unit multiplier" is a multiplier that has a value of 1. That is, the numerator and denominator have the same value. For units conversion problems, the numerator quantity has the units you want, and the denominator quantity has the units you're trying to cancel.
You have units of miles. You know that ...
1 mile = 5280 feet
1 foot = 12 inches
You want to get to units of inches. With these conversion factors, you can do it in two steps (as the problem requests). The first conversion is from miles to feet using the unit multiplier (5280 feet)/(1 mile). This gives you a number of feet.
Then the second conversion is from feet to inches, so you use the one that lets you put inches in the numerator and feet in the denominator:
(12 inches)/(1 foot)
When you multiplie these all out, units of miles and feet cancel, and you're left with inches.
_____
With the above conversion factors, you can write unit mulipliers of either ...
(5280 ft)/(1 mi) . . . to convert to feet
or
(1 mi)/(5280 ft) . . . to convert to miles.
