Answer:84
Step-by-step explanation:because 7x12=84
<h3>
Answer: 45</h3>
The value is approximate.
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Explanation:
Focus on the upper triangle.
Label the unknown horizontal side as y
Use the pythagorean theorem to solve for y
a^2+b^2 = c^2
10^2 + y^2 = 26^2
100+y^2 = 676
y^2 = 676-100
y^2 = 576
y = sqrt(576)
y = 24
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Now move to the bottom triangle
With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.
Use the sine rule to connect the two and solve for x
sin(angle) = opposite/hypotenuse
sin(32) = y/x
sin(32) = 24/x
x*sin(32) = 24
x = 24/sin(32)
x = 45.2899179551967 which is approximate
x = 45 rounding to the nearest whole number
Side x is approximately 45 cm long.
Note: make sure your calculator is in degree mode.
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:
-2b/(a-b)
Step-by-step explanation:
1− (a+b/a−b)
We need to get a common denominator of a-b
1 = (a-b)/(a-b)
Replace 1 with (a-b)/(a-b)
(a-b)/(a-b) - (a+b)/(a-b)
Put over the common denominator
(a-b) - (a+b)
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(a-b)
Distribute the minus sign.
(a-b) - a-b)
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(a-b)
a-a-b-b
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a-b
-2b
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a-b
The answer is yes I believe
