Answer:
x = 3
Step-by-step explanation:
reverse foil the denominator and find the largest solution.
x-3(x+1)
3 is the largest solution
Answer:
14.87 units
Step-by-step explanation:
The sides of all right triangles share the same relationship known as the Pythagorean Theorem a² + b² = c². Substitute the lengths of the triangle into the theorem and solve for the unknown side. Since the problem does have an attached a picture, assume that a = 10, b = 11, and c = x.
10² + 11² = x²
100 + 121 = 221²
221 = x²
√221 = √x²
14.87 = x
Answer:
208 ⅓ ft²
Step-by-step explanation:
1⅞ = 15/8 inches ÷ 12
= 5/32 feet on map
Actual = 5/32 × 80
= 25/2 feet
2½ = 5/2 inches ÷ 12
= 5/24 feet on map
Actual = 5/24 × 80 = 50/3
Actual area:
25/2 × 50/3
= 625/3 ft²
= 208 ⅓ ft²
The first part cannot be answered here without the diagram. However, I can tell you that the model he's building is 1/10 the size of the actual car. That means every measurement on the car is divided by 10 to get the model measurement.
The radius of the car wheel is 27 inches, so the diameter is 54 inches. Using what we know about the model, the correct proportions for the model wheel diameters would be 54 / 10, or 5.4, inches. Therefore, wheels with a diameter of 6 inches would not be in proportion with the model.
Answer:
m∠WXY+m∠ZXY=m∠WXZ
Step-by-step explanation:
You don't know the angles to be congruent (equal measures), complementary (measures add to 90 deg), or supplementary (measures add to 180 deg); all you know is that they are adjacent, so the sum of the measures of the two smaller angles equals the measure of the larger outer angle.
Answer: m∠WXY+m∠ZXY=m∠WXZ
