m∠A = 118 degrees (Angle ∠A is 118 degrees when you substitute x = 35 into the expression (3x + 13)).
In this problem, we are given three angles of a triangle: ∠A, ∠B, and ∠C, expressed in terms of the variable x. We need to find the measure of angle ∠A.
1. Start with the given information:
- ∠A = (3x + 13) degrees
- ∠B = (x - 8) degrees
- ∠C = x degrees
2. We know that the sum of the angles in any triangle is always 180 degrees. So, we can write an equation based on this fact:
∠A + ∠B + ∠C = 180
3. Substitute the expressions for each angle:
(3x + 13) + (x - 8) + x = 180
4. Now, simplify and solve for x:
3x + 13 + x - 8 + x = 180
Combine like terms:
5x + 5 = 180
Subtract 5 from both sides to isolate 5x:
5x = 180 - 5
5x = 175
Divide by 5 to find the value of x:
x = 35
5. Now that we've found the value of x, we can find the measure of ∠A by substituting x back into the expression for ∠A:
∠A = (3x + 13)
∠A = (3 * 35 + 13)
∠A = 105 + 13
∠A = 118 degrees
So, the measure of angle ∠A is 118 degrees.
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A polygon with four sides are called quadrilaterals. Main types of quadrilarerals are:
According to this classification, Jeremy drew square that is rectangle with equal sides or rhombus with all right angles.
Answer: square.
5 are gold, and
1
4 are blue. The rest of the beads are red. Which expression gives the closest estimate of the
fraction of red beads Julia has?
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2
D, because everything in front of the x is the slope and everything after the x is the y- intercept
Answer:
The correct answer is (D) slope=-3 and y-intercept=-2
Step-by-step explanation:
a = 3in., c = 5 in.8.
b = 12ft, c = 15ft
a = 5km, b = 12km
Answer:
1: c =10
2: b = 4
3: a = 9
4: c =13