Answer:
First side, a = 8 ft.
Second side = 12 ft.
Third side, c = 18 ft.
Step-by-step explanation:
Let the sides of the triangle be a, b and c respectively.
<u>Given the following data;</u>
Perimeter = 38ft
First side, a = b - 4
Third side, c = b + 4
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = a + b + c
Substituting into the equation, we have;
38 = (b - 4) + b + (b + 6)
38 = 3b + 2
3b = 38 - 2
3b = 36
b = 36/3
b = 12ft
To find the first side, a;
a = b - 4
a = 12 - 4
a = 8ft.
To find the third side, c
c = b + 6
c = 12 + 6
c = 18 ft.
You need to fill in the blank spaces in the chart.
For the first row, read the word form and try to put it into numbers. It would be 5,370.
Then, you need to put it into expanded form. This is a bit harder since you need to separate all of the numbers. It would be 5,000+300+70+2.
For the second row, you have to work backwards. This time it’s 50,370. Write it in standard form and word form as I taught you. Good luck!
Answer:
D 5
Step-by-step explanation:
the same scaling factor s applies to all sides when transforming from the small to the large triangle.
x×s = x + 5
(x-2)×s = x +1
=> s = (x+5)/x
=> (x-2)×(x+5)/x = x + 1
=> x² + 3x - 10 = x² + x
=> 3x - 10 = x
=> 2x = 10
=> x = 5
Answer:
Triangle ABE and triangle CDE are congruent by using SAS theorem.
Step-by-step explanation:
It is given that e is the midpoint of BD and 
.
(E is midpoint of BD)
Angle AEB and angle CED are vertical opposite angle and the vertical opposite angles are always same.
(Given)
So by using SAS theorem of congruent triangles.
Therefore triangle ABE and triangle CDE are congruent by using SAS theorem.
Answer:
a = 40°
Step-by-step explanation:
I. When total angle is 180 or half of circle
Find a or missing angle by
180 = 50 + 90 + x
180 - 140 = x
x = 40º
That makes a is 40º
Hope that help :)
