Since any off integer is in the form (2x+1) then three consecutive integers who's sum is 183 will be in the form (2x+1)+(2x+3)+(2x+5)=183
6x+9=183
subtracting 9
6x=174
dividing by 2
3x=87
dividing by 3
x=29
so the integers are
2(29)+1=59
2(29)+3=61
2(29)+5=63
to check our answer let us sum up the integers
59+61+63=59+1+60+63=60+60+63=183
Answer:
Slope = - 1
Step-by-step explanation:
The equation is in form
,
s the slope and
is the intercept on
axis.
Hence, in
, slope is -1 and intercept on
axis is 3.
The missing angles in the triangle is as follows:
- ∠1 = 62.5°
- ∠2 = 62.5°
- ∠3 = 55°
- ∠4 = 75°
- ∠5 = 50°
<h3>How to find the measure of angles in a triangle?</h3>
A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
∠3 = 55 degrees (vertically opposite angles)
Vertically opposite angles are congruent to each other.
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Using exterior angle theorem ,
105 = ∠5 + 55
∠5 = 105 - 55
∠5 = 50 degrees
∠4 = 180 - 50 - 55
∠4 = 75 degrees
Therefore, the other triangle is an isosceles triangle. This means the base angles are equal.
Hence,
∠1 = ∠2 = x
2x + 55 = 180
2x = 180 - 55
2x = 125
x = 125 / 2
x = 62.5 degrees.
Hence,
∠1 = ∠2 = 62.5 degrees.
learn more on angles here: brainly.com/question/28641859
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4/15 because you make it into a fraction: 8/30, you find the GCF which is 2, so then you divide both the numerator and denominator by 2 and get 4/15 at it's simplest term
Answer:
50 mph
Step-by-step explanation:
The total distance is 350 miles.
The total time is 3 hr + (240 mi / 60 mph) = 7 hr.
The average speed is 350 mi / 7 hr = 50 mph.