The answers are: 90° , 40°, and 50° .
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Explanation:
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Angle 1 = 90 .
Angle 2 = 3x + 4
Angle 3 = 4x + 2
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Since all angles in every triangle add up to 180 ;
90 + 3x + 4 + 4x + 2 = 180 ; Solve for "x" ; then solve for "angle 2" and "angle 3". Since it is a "right triangle" ; we know that "angle 1" = 90 degrees.
7x + 96 = 180 ;
Subtract "96" from each side of the equation;
7x + 96 - 96 = 180 - 96 ;
7x = 84 ; Divide each side of the equation by "7" ;
7x / 7 = 84 / 7 ;
x = 12:
So; angle 1 = 90 ;
Angle 2 = 3x + 4 = 3(12) + 4 = 36 + 4 = 40 ;
Angle 3 = 4x + 2 = 4(12) + 2 = 48 + 2 = 50 ;
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90 + 40 + 50 =? 180 ? Yes!
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Answer:
like so 9(7+3)
Step-by-step explanation:
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Answer:
Acute
Step-by-step explanation:
two of the angles are acute and the other is right.
Answer:
r ≤ -5 and r ≥ 1
Step-by-step explanation:
The solution has two parts:
1) that derived from | 2 +r | ≥ 3 when (2 + r) is already positive. Then:
2 + r ≥ 3, or r ≥ 1
and
that derived from | 2 +r | ≥ 3 when (2 + r) is negative. If (2 + r) is negative, then
|(2 + r)| = -(2 + r) = -2 -r, which is ≥ 3. Therefore, -2 -r ≥ 3, or -r ≥ 5. To solve this for r, divide both sides by -1 and reverse the direction of the inequality sign: r ≤ -5
