Answer:
Measure of angle W + measure of angle Z = 180°
Step-by-step explanation:
The reason is that angles in a straight line add up to 180° and angles at a point add up to 360° (i.e the sum of measure of angles W, X, Y, Z is 360°)
Answer:
x=7−√10 or x=7+√10
Step-by-step explanation:
−5(x−7)2+30=−20
Step 1: Simplify both sides of the equation.
−5x2+70x−215=−20
Step 2: Subtract -20 from both sides.
−5x2+70x−215−(−20)=−20−(−20)
−5x2+70x−195=0
For this equation: a=-5, b=70, c=-195
−5x2+70x+−195=0
Step 3: Use quadratic formula with a=-5, b=70, c=-195.
x=
−b±√b2−4ac
2a
x=
−(70)±√(70)2−4(−5)(−195)
2(−5)
x=
−70±√1000
−10
x=7−√10 or x=7+√10
Answer:
Step-by-step explanation:
Pythagorean theorem: base ² +altitude² = hypotenuse²
1) hypotenuse² = base² + altitude²
x² = 6² + 3²
= 36 + 9
= 45
x = √45
x = 6.7 cm
4) base ² +altitude² = hypotenuse²
x ² + 3.7 ² = 4.2 ²
x ² + 13.69 = 17.64
x ² = 17.64 - 13.69 = 3.95
x = √3.95
x = 1.99 cm
10)c ² = a ² + b ²
= 3 ² +4 ²
= 9 + 16
c ² = 25
c = √25 = 5
11) a ² + b ² = c ²
9 ² +b² = 13 ²
81 + b² = 169
b² = 169 - 81 = 88
b = 9.38
12) a² + b² = c²
12² + b² = 22²
144 + b² = 484
b² = 484 - 144 = 340
b =√340 = 18.44
Answer:
$1.24
Step-by-step explanation:
I subtracted the $21.35 from $8.95 and got $1.24
The difference would be 7
