Answer:
The value of ∠A is 62° ⇒ c
The value of ∠B is 54°⇒ d
Step-by-step explanation:
<em>In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.</em>
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In Δ ABC
∵ The measure of the exterior angle at the vertex C = 116°
∵ The opposite interior angles to vertex C are ∠A and ∠B
∵ m∠A = (3x - 13)°
∵ m∠B = (2x + 4)°
→ By using the rule above
∴ (3x - 13) + (2x + 4) = 116
→ Add the like terms in the left side
∵ (3x + 2x) + (-13 + 4) = 116
∴ 5x + -9 = 116
∴ 5x - 9 = 116
→ Add 9 to both sides
∵ 5x - 9 + 9 = 116 + 9
∴ 5x = 125
→ Divide both sides by 5
∴ x = 25
→ To find the measures of angle A and B substitute x in their
measures by 25
∵ m∠A = 3(25) - 13 = 75 - 13
∴ m∠A = 62°
∴ The value of ∠A is 62°
∵ m∠B = 2(25) + 4 = 50 + 4
∴ m∠B = 54°
∴ The value of ∠B is 54°
Answer:
D.
Step-by-step explanation:
Answer:
Option c, d and e are equivalent expressions to 7x-14
Step-by-step explanation:
Which expressions are equivalent to 7x - 14
Equivalent Expressions:
<em>The expressions that are the same, even if the expression looks different.</em>
<em>For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4</em>
Now, finding equivalent to expressions 7x - 14
Option a) 14 - 7x
Not equivalent to 7x-14
Option b) x-2
Not equivalent to 7x-14
Option c) -(14 – 7x)
Simplifying: -14+7x so, equivalent to 7x-14
Option d) (x - 2)
Simplifying: 7x-14 so, equivalent to 7x-14
Option e) - 14 + 4x
Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14
Option f) 2x - 10 + 5x + 4
Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14
So, Option c, d and e are equivalent expressions to 7x-14
It would be 250 in because you see 10x20 is 200 and and 10x10 is 100. But since part of the figure is a triangle you have to dive it by 2 and 100/2=50. 200+50=250
Hope that helps!
3/4 =9
2/3=9
3/4 times 3= 9/12
2/3 times 4 = 8/12
Store one has the better deal because you get more for your money
