Y=20
You can plug in 11 for X and do the math from there on
Answer:
The measurement of the width is <u>20 ft</u>.
Step-by-step explanation:
Given:
The perimeter is 94 ft and the length is 27 ft.
Now, to find the unknown measurement.
Perimeter = 94 ft.
Length = 27 ft.
Let the width of the rectangle be 
So, to get the width we put formula of perimeter:
<em>Subtracting both sides by 54 we get:</em>
<em />
<em />
<em>Dividing both sides by 2 we get:</em>
Therefore, the measurement of the width is 20 ft.
Answer:
since the sum of all angles of a triangle is 180°
Step-by-step explanation:
so 100°+4y+25°+3y+20=180°
145°+7y=180°
7y=180°-145°
7y=35°
y=5°
In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.
<h3>How to explain the triangle?</h3>
a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.
b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.
c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.
d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.
Learn more about triangles on:
brainly.com/question/28021872
#SPJ1
9514 1404 393
Answer:
R80: 12
G150: 54
Best Profit: $582
Step-by-step explanation:
Let x and y represent the numbers of R80 and G150 players, respectively. The constraints of the problem are ...
0 ≤ x ≤ 18 . . . . . a maximum of 18 R80 can be built
0 ≤ y . . . . . . . . . only non-negative numbers can be built
9x +3y ≤ 270 . . . . ounces of plastic used cannot exceed 270
2x +6y ≤ 348 . . . . ounces of metal used cannot exceed 348
The objective is to maximize the profit function ...
P(x, y) = 8x +9y
The attached graph shows profit is a maximum of $582 per week when 12 R80 players and 54 G150 players are produced.
_____
Since the maximum profit is at a value of x less than 18, we didn't bother to graph that constraint.
