Answer:
The perimeter of the triangle ABC is 17 cm.
Step-by-step explanation:
Consider the Isosceles triangle ABC.
The sides CA and CB are equal with measures, 5 cm.
The base angles are assumed to be <em>x</em>° each. Hence, the angle ACB is 2<em>x</em>°.
The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.
Consider the right angled triangle ACP.
The sum of all the angles in a triangle is 180°.
Determine the value of <em>x</em> as follows:
<em>x</em>° + <em>x</em>° + 90° = 180°
2<em>x</em>° = 90°
<em>x</em>° = 45°
Compute the length of side AP as follows:
Then the length of side AB is:
AB = AP + PB
= 3.5 + 3.5
= 7 cm
The perimeter of triangle ABC is:
Perimeter = AB + CA + CB
= 7 + 5 + 5
= 17
Thus, the perimeter of the triangle ABC is 17 cm.
Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices are,
Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)
Following the rule of translation by 3 units to the right and 2 units down 
(x, y) → (x+3, y-2)
Q(1, 3) → Q''(4, 1)
R(3, -3) → R"(6, -5)
S(0, -2) → S"(3, -4)
T(-2, 1) → T"(1, -1)
Following rule 
(rotation of a point by 180° about the origin) will give the image points,
(x, y) → (-x, -y)
Q"(4, 1) → Q'(-4, -1)
R"(6, -5) → R'(-6, 5)
S"(3, -4) → S'(-3, 4)
T"(1, -1) → T'(-1, 1)
Answer:
1.) 
2.) 
3.) 
4.) 
Step-by-step explanation:
The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:
However, with certain graphs, the slope can be found in a simpler manner.
- You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.
- Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each
- When you move up, the number will be positive
. If you move down, the number will be negative 
. - If you move to the right, the number will be positive
. If you move to the left, the number will be negative 
.
The value of any number multiplied by 1 stays exactly the same, right? Well, as it turns out, 1 can be written as the fraction 7/7, or the fraction 8/8, or 9/9, 10/10, 11/11... I could go on and on to infinity, but there's a pattern there. 1 simply means "1 whole," or "all of it." "All of it" looks different in different denominators, but the core idea is the same: if we split something into n pieces, "all of it" means we have all n of those pieces. The numerator and denominator will always been the same, no matter how we want to represent 1.
What does this have to do with our problem? Well, we don't want to change the <em>value </em>of our fraction, we just want to change its <em>label</em>. So what we're going to do is multiply it by 1, but we're going to make sure to pick the right <em>label</em> for that 1.
7/12 x 1 = 7/12. This will be true no matter what. Let's see which of these options actually fit the bill:
Can we get this fraction by multiplying 7/12 from some form of 1? Well, 14 = 7 x 2, so let's see what we get if we pick the form 1 = 2/2:
Nope, not quite. 14/28 is <em>not </em>equivalent to 7/12.
What about 21/36? 21 = 7 x 3, so let's give the form 1 = 3/3 a shot:
There we go! All we did there was <em>relabel </em>7/12 by multiplying by form of 1. Since we never changed its value, we can stop our search here and conclude that 21/36 is equivalent to 7/12.
Answer:
2+1+4=7
Step-by-step explanation:
Just break apart your number.
since we are using (7), I just took a bit away from it.
so, 7-2=5
then, i broke apart 5 into 2 pieces.
5-4=1
so, 4, 1, and 2 work for this problem
