The pair of vertically opposite angles are ∠1 and ∠3 and ∠4 and ∠2.
<h3>What is vertically opposite angles?</h3>
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines and are opposite to each other.
Vertically opposite angles share the same vertex point.
In other words, vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines
Vertically opposite angles are congruent to each other.
Therefore, the pair of vertical angles are as follows:
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m∠A + m∠B = 90, since the angles are complementary.
The question also tells us that m∠A = (2x + 10) and m∠B = (-x + 55)
So, all we have to do is input the angle's values into the first equation:
(2x+10) + (-x+55) = 90
Simplify:
x + 65 = 90
x = 25
Input the variable into the angles:
m∠A = 2(25) + 10 = 50 + 10 = <u>60°</u>
m∠B = -25 + 55 = <u>30°</u>
Answer:
4: no
5: yes
6: yes
Step-by-step explanation:
exponential functions are in the form f(x)=ab^x
Answer:
The solution set is (2,4).
Step-by-step explanation:
Given that:
−2x + 2y =4 Eqn 1
−4x + 8y =24 Eqn 2
Multiplying Eqn 1 by -2
-2(-2x+2y=4)
4x-4y= -8 Eqn 3
Adding Eqn 2 and 3
(-4x+8y)+(4x-4y)=24-8
-4x+8y+4x-4y=16
4y=16
Dividing both sides by 4
Putting y=4 in Eqn 1
-2x+2(4)=4
-2x+8=4
-2x=4-8
-2x=-4
Dividing both sides by -2
Hence,
The solution set is (2,4).