Answer:
60 degrees
Step-by-step explanation:
Restructured question:
The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.
First you must know that the sum of interior angle of a triangle is equal to the exterior angle
Interior angles = x−14 and x+4
Sum of interior angles = x-14 + x + 4
Sum of interior angles = 2x - 10
Exterior angle = 3x - 45
Equating both:
2x - 10 = 3x - 45
Collect like terms;
2x - 3x = -45 + 10
-x = -35
x = 35
Get the exterior angle:
Exterior angle = 3x - 45
Exterior angle = 3(35) - 45
Exterior angle = 105 - 45
Exterior angle = 60
Hence the measure of the exterior angle is 60 degrees
<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>
The answer:
the total distance of the trip is 821 miles from home,
for this the car <span>gets 24 miles per gallon
</span>the average price of gas is $3.74 per gallon
the price can be calculated as:
for the trip,
24 miles-------------1 gallon
821 miles------------ x= 821/24=34.20 gallons
1 gallon------------- $3.74
34.20 gallons---------x=?
to find this value
34.20 gallons x $3.74 = $127.93.
Answer:
Step-by-step explanation:
a=10
Answer:
see explanation
Step-by-step explanation:
The set of the first few prime numbers are
2, 3, 7, 11, 13, 17, 19, 23 ...............
Considering the odd primes, then
24 = 7 + 17
36 = 13 + 23
Answer:
Slope is - 2 because The slope-intercept form is y=mx+b where m is the slope value. In the equation y=-2x , the m value is - 2 .
