Answer:
the answer is 131 because if you multiply 20 by 8 is 190 then you divide 1/4 by 190 and you get 131
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
RUTS is a rectangle.
To prove:
∠USR ≅ ∠SUT
Statements Reasons
1. RUTS is a rectangle 1. Given
2. RU = ST, UT = RS 2. By the definition of a rectangle
3. ∠STU = ∠SRU = 90° 3. Definition of a rectangle
4. ΔURS ≅ ΔSTU 4. By the LL theorem of congruence
5. ∠USR ≅ ∠SUT 5. CPCTC
Answer:
<h3>
∠XYZ = 102</h3><h3>
</h3>
Step-by-step explanation:
<u>1st step is to solve x from ΔWXY</u>
∠W + ∠X + ∠Y = 180
where ∠W = 5x + 2
∠X = 7x + 4
∠Y = 180 - (15x - 18)
= 198 - 15x
now plugin values into the equation:
5x + 2 + 7x + 4 + 198 - 15x = 180
combine similar terms:
5x + 7x - 15x = 180 - 2 - 4 - 198
simplify:
-3x = -24
x = -24 / -3
x = 8
<u>2nd step is to substitute x = 8 into ∠XYZ</u>
∠XYZ = 15x - 18
∠XYZ = 15(8) - 18
∠XYZ = 102
Answer:
W=5
Step-by-step explanation:
W=Width=Length + 1
L = Length
Area = Length * Width = 20
Area = L * W = L * (L+1) = 20
Distribute the L: L^2 + L = 20
Subtract 20 from both sides: L^2 + L -20 = 20-20
Simplify: L^2+L-20=0
Factor (L-4)(L+5)=0
Solve using the zero property: L-4=0, L=4 L+5=0, L=-5
The two options for length are 4 and -5. Only 4 will work for L since it cannot be negative. Width is Length + 1 = 5
Answer:
An equation is a statement that maintains the equal value of two mathematical expressions. If the statement is true for all variable values, it is called an identity. ... An equation shows the equality of two variables while an inequality shows the inequality of two variables
