To prove that triangles TRS and SUT are congruent we can follow these statements:
1.- SR is perpendicular to RT: Given
2.-TU is perpendicular to US: Given
3.-Angle STR is congruent with angle TSU: Given.
4.-Reflexive property over ST: ST is congruent with itself (ST = ST)
From here, we can see that both triangles TRS and SUT have one angle of 90 degrees, another angle that they both have, and also they share one side (ST) ,then:
5.- By the ASA postulate (angle side angle), triangles TRS and SUT are congruent
Answer:
Sum of interior angles = 720°
One interior angle = 120°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides in a polygon
Therefore, one angle in a regular polygon will be (180°(n-2))÷n
Hence
Sum of interior angles= 180°(6-2)
= 720°
One interior angle = 720°÷6
= 120°
Answer:
3rd group of possible answers is the correct set
Step-by-step explanation:
Each of the three points in the 3rd line of possible answers is a solution of the given equation, as can be verified by substitution:
If x = -2, y = -8(-2) = +16
If x = 3, y = -8(3) = -24
If x = -4, y = -8(-4) = +32
The car goes 23.2 miles every gallon, so with 15 gallons (15 * 23.2 = 348) it can go 348 miles. With the extra .25 that the car has, it can go 0.25 * 23.2 = 5.8 miles. 348 miles plus the 5.8 miles gets you 353.8 miles on 15.25 gallons.
Answer:
x = 35 degrees
Step-by-step explanation:
the little box on the left side of the ttriangle means that is a 90 degrees angle.
So you add 55 + 90 = 145
Then subtract 180 - 145
which gives you 35
