Answer:
Step-by-step explanation:
The "key" to this is to recognize that the two lines have to be the same length, they put the drawing on it's side to make it harder to see that. :/ But another way to see this is that it's an isosceles triangle and you know the two legs that they are asking us about have to be the same length, knowing that.. we can set the two expression equal to each other
3x - 10 = 2x
now solve for x
3x - 10 -2x = 2x - 2x ( subtracting 2x from both sides )
3x - 2x - 10 = 0
x - 10 = 0
x - 10 + 10 = 0 + 10
x = 10 ( yay)
103 ft^2
take 3 and 5 and multiply it by 30
3*30=90
5.5*30=165
then divide them both by 12 to convert inches to feet
90÷12=7.5
165÷12=13.75
then multiply both dividends together
7.5*13.75=103.125
then round to the nearest whole number
103
To solve for the unit rate, know that the final answer must be out of 1. Or it is the quantity or amount of something per unit of measurement.
For instance in the above question, the unit rate for 32 teams in 4 divisions would be 8 teams per division.
Likewise for the other question it would be 270/15.
Step-by-step explanation:
step 1. the area of a circle is A. A = (pi)r^2.
step 2. if the diameter is 8 cm then the radius is 4 cm.
step 3. A = (pi)4^2
step 4. A = 16(pi) = 50.24 cm.
Answer:
AC ≅ AE
Step-by-step explanation:
According to the SAS congruence theorem, if two triangles have 2 corresponding sides that are equal, and also have one included corresponding angle that are equal to each other in both triangles, both triangles are regarded as congruent.
Given ∆ABC and ∆ADC in the question above, we are told that segment AB ≅ AD, and also <BAC ≅ <DAC, the additional information that is necessary to prove that ∆ABC and ∆ADC are congruent, according to the SAS theorem, is segment AC ≅ segment AE.
This will satisfy the requirements of the SAS theorem for considering 2 triangles to be equal or congruent.