Answer: 42 degrees
Explanation: KFD=84 KFL is half of KFD(84)
84 divided by 2 = 42
All the angles in a triangle equal 180 degrees.
So,
101+34+x=180
x= the missing angle.
135+x=180
Subtract both sides by 135.
x= 45
The missing angle equals 45 degrees.
I hope this helps!
~kaikers
Answer:
46.2 mi is the right answer.
Step-by-step explanation:
In this question we will follow the property of congruence of two triangles.
Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.
The distance between Alba and Blare = 130 mi
The distance between Alba and Cray = 120 mi
As we know in the congruent triangles all sides are in the same ratio.
Now we apply the property of the theorem
x = 46.2 mi
The Formula of the relation is M = 8AT.
The mass of the metal sheet is 960 g.
The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).
Proportionality:
Removing the proportionality sign,
Where:
- K = constant of proportionality.
make K the subject of the equation:
- K = M/KT.................... Equation 1
From the question,
Given:
- M = 200 g
- A = 250 cm²
- T = 1 mm = 0.1 cm
Susbtitute into equation 1
- K = 200/(250×0.1)
- K = 8 g/cm³
Formula:
- M = 8AT................. equation 2
Hence the formula of the relation is M = 8AT
If,
- A = 400 cm²
- T = 3 mm = 0.3
Substitute these values into equation 2
Hence, the mass of the metal sheet is 960 g
Learn more about joint variation here: brainly.com/question/26047253
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