x = # of balcony seats
y = # of orchestra seats
We have to create a system of equations to solve this problem
x + y = 256
$8x + $12y = $2,716
We will solve this system of equations by elimination.
Multiply the first equation by -8
-8x - 8y = -2048
8x + 12y = 2716
Let's add the equations together
0 + 4y = 668
Simplify the left side
4y = 668
Divide both sides by 4
y = 167
We can subtract 167 from 257 to get the number of balcony seats.
257 - 167 = 90 balcony seats
There are 167 orchestra seats and 90 balcony seats
Hello:
(poq)(x) = p(q(x))= p(x-3) = 2(x-3)²-4(x-3) = 2(x²-6x+9)-4(x-3)
(poq)(x) = 2x²-12x+18-4x+12
(poq)(x) = 2x²-16x+30... (answer : C )
The type of triangle represented in the image attached to the task content is; Isosceles.
<h3>What type of triangle is triangle ABC?</h3>
By observation; since line AB and DE are parallel lines; it follows from the alternate Angie theorem that; <ABC = <BCE = 80°.
On this note, since angle ACD is 50°, the measure on <ACB is;
180 - 80 - 50 = 50°.
Therefore, since the sum of interior angle measures in a triangle is; 180°.
It follows that; <BAC is; 180 - 80 - 50 = 50°.
Hence, since the base angles; BAC and ACB are equal; it follows that the triangle in discuss is an isosceles triangle.
Read more on isosceles triangle;
brainly.com/question/1475130
#SPJ1
Answer:
∠1 = 142°
<u>reason:</u> angles 1 and 2 are supplementary so they equal 180. 180-38 is 142
∠3 = 38°
<u>reason:</u> angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.
∠4 = 142°
<u>reason:</u> since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142
∠5 = 38°
<u>reason:</u> since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2
∠6 = 142°
<u>reason:</u> for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.
∠8 = 142°
<u>reason:</u> since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also
Step-by-step explanation:
hope this helped you :)
Answer:
The error Tara made is she rewrote incorrectly 3 3/8 as 17/8 and 4 1/9 as 13/9,
the corrected number can be rewrote as 3 3/8 as 27/8 and 4 1/9 as 37/9.
Step-by-step explanation:
To find the Product of:
The Number can be rewrote as,
Tara made error here she rewrote the number incorrectly 3 3/8 as 17/8 amd 4 1/9 as 13/9.
Now multiplying the fraction we get
Because she rewrote incorrectly which led her answer to multiplication of fraction, the product too was incorrect which she wrote as 221/72.
