Answer:
x = -5
Step-by-step explanation:
The number of salads Ishaan and his friends can afford is 6 salads.
<h3>What are Word Problems?</h3>
Word Problems in mathematics involve crucial understanding and the use of variables and arithmetic operations to solve real-life cases.
From the given information;
- The total amount with Ishaan and his friends = $40
- If they decided to spend the money on salad(x) and one salad(x) cost = $6
Thus, the number of salads they can purchase is:
x = 6 salads remaining $4
Therefore, we can conclude that the number of salads they can purchase with $40 is 6 salads with a remaining amount of $4.
Learn more about word problems here:
brainly.com/question/21405634
Applying the angle of intersecting chords theorem, the value of z is: D. 100.
<h3>What is the Angle of Intersecting Chords Theorem?</h3>
According to the angle of intersecting chords theorem, in a circle like the one shown in the image above, where two chords intersect to form vertical angles, the theorem states that the angle formed equals half of the sum of the measures of the arcs intercepted by the angles.
Applying the angle of intersecting chords theorem, let's find x first:
73 = 1/2(96 + x)
Multiply both sides by 2
2 × (73) = 1/2(96 + x) × 2
146 = 96 + x
Subtract both sides by 96
146 - 96 = 96 + x - 96
50 = x
x = 50°
Therefore:
x + z + 96 + 114 = 360° [full circle measure]
Plug in the value of x
50 + z + 96 + 114 = 360
z + 260 = 360
Subtract both sides by 260
z + 260 - 260 = 360 - 260
z = 100°
The answer is: D. 100°.
Learn more about the angle of intersecting chords theorem on:
brainly.com/question/23732231
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Answer:
0.90
Step-by-step explanation:
I entered it onto my calculator, but if you'd like an explanation as to how just ask.
