Answer:
= 130°
Step-by-step explanation:
Angles subtended at the center by the arcs 
and 
are ∠HPG and ∠EPF.
Since these angles are the vertical angles both will be equal.
m∠HPG ≅ m∠EPF
3x - 10 = 2x + 10
3x - 2x = 10 + 10
x = 20
Therefore, 
= 50°
Similarly 
= 50°
In the same way angles subtended at the center will be equal.
m∠EPH ≅ m∠FPG
and 
Since 
°
Therefore, measure of arc EH = 130°
Answer:
x = 4
Step-by-step explanation:
Answer:
1.
Variable: x
Inequality: x ≤ 12
Value that matches: 12
2.
Variable: y
Inequality: y < 66
Value that matches: 60
Step-by-step explanation:
Solving (1):
Let x be the variable
Reading through the question, we have the inequality to be represented by "at most".
At most is used for less than or equal to.
Hence, the expression can be represented by:
x ≤ 12
The range of this inequality is limited to all natural number that do not exceed 12.
Examples are 8, 2, 11, 12
Solving (2):
Let the variable be y
Reading through the question, we have the inequality to be represented by "below".
Below means less than
Hence, the expression can be represented by:
y < 66
The range of this inequality is limited to all number less than 66.
Examples are 65, 1 , 60......
Answer:
Step-by-step explanation:
A(x)=3x^2
B(x)=8x+3
A(x)=B(x)
3x^2=8x+3
3x^2-8x-3=0
factor
(3x+1)(x-3)=0
x-3=0
x=3
3(3^2)=8(3)+3
3(9)=24+3
27=27
Answer:
13
Step-by-step explanation:
substitute all the numbers in
6+3/6+3/6+6=13
