Answer:
x = 77
y = 72
z = 31
Step-by-step explanation:
The formula for the Perimeter of triangle XYZ = x + y + z
From the question:
x + y + z = 180
In the triangle, x is 5 greater than y,
x = y + 5
y is 21 less than three times z
y = 3z - 21
3z = y + 21
z = y + 21/3
Hence:using substitution
x + y + z = 180
y + 5 + y + y/3 + 21/3 = 180
2y + y/3 + 5 + 21/3 = 180
2y + y/3 = 180 - ( 5 + 21/3)
2y + y/3 = 180 - (5 + 7)
2y + y/3 = 180 - 12
2y + y/3 = 168
Multiply both sides by 3
2y × 3 + y/3 × 3 = 168 × 3
6y + y = 504
7y = 504
y = 504/7
y = 72
Solving for x
x = y + 5
x = 72 + 5
x = 77
Solving for z
z = (y + 21)/3
z = (72 + 21)/3
z = 93/3
z = 31
Therefore,
x = 77
y = 72
z = 31
The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm
<h3>How to determine the length ts?</h3>
The congruent statement is given as:
abcd ≅ ghij and bcda ≅ rstu
The above statement means that:
ts = dc = ij
From the question, we have:
ij = 10 cm
This means that
ts = 10 cm
Hence, the value of length ts is 8 cm
Read more about congruent figures at:
brainly.com/question/1675117
#SPJ4
To get 76% of 75 you turn the fraction to a decimal, then multiply it to the number. 76% as a decimal us 0.76 and 0.76 * 75 = 57
So, Ciaran got 57 out of 75 questions right.
A Square Window would have four equal sides. So you would use the <span>Pythagorean Theorem (a</span>²+b²=c²) to solve the problem. so it would be set up like this; 40²+40²=c². then you would evaluate it and it become:
400+400=c²
800=c²
√800=√c²
Answer: 28.3 inches
Arc length = 2
r * Θ/360 =
d * Θ/360
so...
If we take pi to be 3.14,
Arc length = 2(3.14)(6) * 98/360
= 37.68 * 98/360 =
10.26 cm
