Answer:
The lengths are 5, 12, and 13.
Step-by-step explanation:
Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.
The Pythagorean Theorem may be used to find the lengths.
+ 
= 
a, b are the short and long lengths and c is the hypotenuse
→ 
→ 
→ 
→ 
→ 
→ 
→ 
(The length cannot be negative)
The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.
Answer:
32
Step-by-step explanation:
The sum of the angles of a triangle is 180
58+90+x = 180
148+x = 180
x = 180-148
x=32
Answer:
Step-by-step explanation:
The y-intercept is where x is equal to 0, and the x-intercept is where y is equal to 0, so:
The equation is written in slope-intercept form:
m is the slope and b is the y-intercept, so the y-intercept is -18.
Now set the value of y to 0 to find the intercept of x:
Solve for x. Add 18 to both sides:
Divide both sides by 8:
The x -intercept is 
.
:Done
Answer:
45 square ft^2
Step-by-step explanation: The formula of the area of the trapezoid is A=(a+b)/2 x h. A represents the top while b represents the bottom. 15+3=18 and 18/2=9. If multiply the result by 5, you get 45 as the answer.
