Answer:
71
Step-by-step explanation:
Which fraction shows a correct way to set up the slope formula for the line containing (2, -4) and (-6, 1)?
1 answer:
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The measures of the angles of Δ DEF are 36° , 72° , 72°
Step-by-step explanation:
The sum of the measures of the interior angles in any triangle is 180°
In Δ DEF
The ratio between the measures of its interior angles is 2 : 4 : 4
To find the measure of each angle
1. Find the sum of the ratio between the measures of its angles
2. Divide 180° by the sum of the ratio
3. Multiply the quotient by each ratio
∵ The ratio between the measures of the angles of Δ DEF = 2 : 4 : 4
∴ The sum of the ratio = 2 + 4 + 4 = 10
→ m∠D : m∠E : m∠F : sum of the ratio
→ 2 : 4 : 4 : 10
→ ? : ? : ? : 180°
Divide 180 by 10, then multiply the quotient by the components of
the ratio to find the measure of each angle
∵ m∠D =
∴ m∠D = 36°
∵ m∠E =
∴ m∠D = 72°
∵ m∠F =
∴ m∠F = 72°
The measures of the angles of Δ DEF are 36° , 72° , 72°
Learn more:
You can learn more about the ratio in brainly.com/question/2707032
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<span>This polygon is composed of a right triangle and <span>a parallelogram.
The area of right angle :
The area of the </span></span><span>parallelogram</span>:
The area of the polygon is equal:
Therefore, the answer is:
The area of right angle :
The area of the </span></span><span>parallelogram</span>:
The area of the polygon is equal:
Therefore, the answer is:
Answer:
x=1, y=7
Step-by-step explanation:
y = -3x + 10 - first equation
y=-3x + 4 - second equation
rearrange the expression to
-3x-y= -10
3x-y= -4
pick an equation and simplify; lets pick the second equation
3x-y= -4
divide 3 by both sides
x= - third equation
substitute the value of x into an equation; lets pick the first equation
-3x-y= -10
-3- y = -10
simplify. -3 cancels 3 so we are left with
-1(-4+y)-y = -10
simplify
4-y-y= -10
4-2y= -10
subtract 4 from both sides
-2y= -10-4
-2y= -14
divide -2 by both sides
y=7
substitute the value of y, (y=7) in an equation, we are using the second equation
3x-y= -4
3x-7= -4
3x = -4+7
3x= 3
divide 3 by both sides
x=1
so the answer is x=1, y=7