The triangles are similar so the angles are equal
2x^2 - 2 = 10x - 2
2x^2 - 2 - 10x + 2 = 0
2x^2 - 10x = 0
2x(x - 5) = 0
2x = 0 OR x - 5 = 0
x = 0 OR x = 5
0 doesn't make sense, because IF I plug 0 into 2x^2 - 2 I get a negative number. We need to use 5 to find the angle measure
2(5^2) - 2 = 2(25) - 2 = 50 - 2 = 48 degrees or the measure of CED
200x 9, nine times two hundred,
Answer:
50 and 60 mph respectively
Step-by-step explanation:
Step one:
given data
total distance= 450 miles
time take= 9 hours
Required
Tom and Tammy's average speed
Step two:
Tom's average speed= 450/9
= 50 miles per hours
Tammy's average speed= 450/7.5
= 60 miles per hours
Answer: The measure of ∠SQR= 80.9°
Step-by-step explanation:
Given: In triangle QRS,
∠ RSQ = 29.1° and ∠QRS=70°
To find: ∠SQR
Angles sum property of triangle = Sum of all the angles in a triangle is 180°.
For Δ QRS,
∠SQR + ∠ RSQ +∠QRS = 180°
⇒ ∠SQR + 29.1° + 70° = 180°
⇒ ∠SQR + 99.1° = 180°
⇒ ∠SQR= 180°-99.1
⇒ ∠SQR= 80.9°
Hence, the measure of ∠SQR= 80.9°
