Answer:
180
Step-by-step explanation: The exterior angles sum to 360 and there are 21
Answer:
FALSE, (2, 9) is not a solution to the set of inequalities given.
Step-by-step explanation:
Simply replace x by 2 and y by 9 in the inequalities and see if the inequality is true or not:
irst inequality:
![y\geq 4x\\9\geq 4\,(2)\\9\geq 8](https://tex.z-dn.net/?f=y%5Cgeq%204x%5C%5C9%5Cgeq%204%5C%2C%282%29%5C%5C9%5Cgeq%208)
so thi inequality is verified as true since 9 is larger or equal than 8
Now the second inequality:
![y](https://tex.z-dn.net/?f=y%3Cx%2B2%5C%5C9%3C%282%29%2B2%5C%5C9%3C4)
This is FALSE since 9 is larger than 4 (not smaller)
Therefore the answer to the question is FALSE, (2, 9) is not a solution to the set of inequalities given.
Answer:
Given: Quadrilateral P QR S is a rectangle.
To prove :PR= Q S
Construction : Join PR and Q S.
Proof: In Rectangle PQRS, and
→ taking two triangles PSR and Δ QRS
1. PS = Q R
2. ∠ PS R = ∠ Q RS [Each being 90°]
3. S R is common.
→ ΔP SR ≅ Δ Q RS → [Side-Angle-Side Congruency]
∴ PR =Q S [ corresponding part of congruent triangles ]
Hence proved.
X= weight of TV
y= weight of CD
3x+5y= 62.5
3x+ 2y= 52
You can either solve for a variable, or eliminate a variable by subtracting the second equation from the first:
3x + 5y = 62.5
-(3x+2y = 52)
0 + 3y = 10.5, so y = 10.5/3 or 3.5.
Now plug y= 3.5 back into any equation to get x:
3x + 5(3.5) = 62.5
3x + 17.5 = 62.5
3x = 45
x = 15
Always check work. Both equations should be true for x=15, y= 3.5
I will solve you system by substitution
y = 2x - 3 ; x + y = 1
→Step 1: Solve y = 2x - 3 for y
→Step 2: Substitute 2x - 3 for y in x + y = 1:
x + y = 1
x + 2x- 3 = 1
3x - 3 = 1 (Simplify both sides of the equation)
3x - 3 + 3 = 1 + 3 (Add 3 both sides)
3x = 4
3x ÷ 3 = 4 ÷ 3 (Divide each side by 3)
x = 4/3
→Step 3: Substitute 4/3 for x in y = 2x - 3:
y = 2x - 3
y = 2 (4/3) -3
y = -1/3 (Simplify both sides of the equation)
Answer:
x = 4/3 and y = -1/3
∫Hope that helps∫