Answer:
<h2>
E) 84</h2><h2 />
Step-by-step explanation:
side AB is congruent to side AX
this means that the angle ∠A = 4x is the same angle as ∠Z
therefore ∠A = ∠Z = 4x
inside angle of a triangle = 180
∠A + ∠B + ∠Z = 180
4x + 7x + 4x = 180
15x = 180
x = 180/15
x = 12
now substitute x = 12 into angle B
∠B = 7x
∠B = 7 (12)
∠B = 84
therefore, the answer is E) 84
Triangles (1/2 base x height)- 1/2(6) x 8 = 24 each
one side (length x height)- 6.5 x 8 = 52
one side (length x height)- 6.5 x 6 = 39
one side (length x height)- 6.5 x 10 = 65
total 180
22 can go into 30 only once with a remainder of 7
Hey there! :)
Equation 1) 4x = y - 1
Equation 2) 6x - 2y = -3
We want both equations to match in a sense where both x & y are on the same side of the equal sign. To achieve this, simply subtract y from both sides in equation 1.
This will leave us with : 4x - y = -1
Now, line up the equations with one another.
1) 4x - y = -1
2) 6x - 2y = -3
Now, multiply 2 to ALL of equation 1.
2(4x - y = -1)
Simplify.
8x - 2y = -2 → We'll call this new equation 3. Now, line up equation 3 with equation 2.
6x - 2y = -38x - 2y = -2
Subtract equations from one another.
-2x = -1
Divide both sides by -2.
-2x ÷ -2 = -1 ÷ -2
Simplify.
x = 1/2
Now, plug in 1/2 for x into our first equation.
4x - y = -14(1/2) - y = -1
Simplify.
2 - y = -1
Subtract 2 from both sides.
-y = -1 - 2
Simplify.
-y = -3
Divide both sides by -1.
y = 3
So, our answer is : x = 1/2, y = 3 OR (1/2, 3)
~Hope I helped!~
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
