Answer:
Option a.
Step-by-step explanation:
In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.
Opposite side of right angle is hypotenuse. So, CB is hypotenuse.
From figure it is clear that CA is shorter that segment BA.
All angles are congruent to itself. So angle C is congruent to itself.
We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.
So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.
Therefore, the correct option is a.
Answer:
⅓x + y = 5⅓
or
⅓x + y = 5.3333333
or
⅓x + y = 16/3
Step-by-step explanation:
Solve for slope using rise/run
Y2 - Y1 / X2 - X1
(6) - (5) / (-2) - (1)
1 / -3
Slope: -⅓
y = -⅓x + b
solve for b using one of the points
I'll be using (1,5)
Substitute the point into the equation
5 = -⅓(1) + b
5 = -⅓ + b (add ⅓ to both sides)
+⅓ +⅓
5⅓ = b
5⅓ can also be written as 16/3 or 5.333333
The equation is now:
y = -⅓x + 5⅓
Convert to standard form by adding ⅓x to both sides
y = -⅓x + 5⅓
+⅓x +⅓x
Solution: ⅓x + y = 5⅓
d = r · t ⇒ t = d/r
going
t = 54/(r + 4)
coming
t = 30/(r - 4)
54/(r + 4) = 30/(r - 4) times are equal
54(r - 4) = 30(r + 4) product means/extremes
54r - 216 = 30r + 120 distribute
24r - 216 = 120 subtract 30r from both sides
24r = 336 add 216 to both sides
r = 14 divide both sides by 24
Alfonso bikes at 24 mph.
Answer:
A = 63.59
C = 28.26
Step-by-step explanation:
r = 4.5
Area of a circle:
A = πr²
A = 3.14(4.5²)
A = 3.14(20.25)
A = 63.59
Circumference:
C = 2πr
C = 2(3.14)(4.5)
C = 28.26
Answer: 21 cups of shredded carrots.
Step-by-step explanation:
For every 9 cups of shredded carrots they use, they use 6 cups of sugar.
To use one cup of sugar therefore, the number of cups of shredded carrot is:
= 9/6
= 1.5 cups of shredded carrot
For every 1.5 cups of shredded carrot, a cup of sugar is used.
If they were to use 14 cups of sugar, they would therefore use:
= 14 * 1.5 cups of carrot
= 21 cups of shredded carrot