Answer:1. The measure of angle P is 53. 2. The value of x is 25.
3. The length of each side of the triangle is 30 cm.
Step-by-step explanation:
1. (3x +2) + (3x + 2 ) + (5x -11) =180 Angle Q and P have the same measures because it is an isosceles triangle that is why you have three expressions.
So x =17 and 3(17)+ 2 =53
2. (2x +10) + (2x+10) + (2x + 10)= 180 this is because the second triangle is an equilateral triangle which means all it have the same measures.
solve for x. and x is 25.
3.The third triangle is also an equilateral triangle so you will make the expressions equal each other and solve for y .
1/10y + 11= 3/5y -4
y= 30
Answer:
The monthly cost = $9 + $0.39x
Step-by-step explanation:
<h3>
Answer: 80 degrees</h3>
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Explanation:
I'm assuming that segments AD and CD are tangents to the circle.
We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.
By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.
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Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.
Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.
We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.
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Here's what we have so far for quadrilateral DAEC
- angle A = 90
- angle E = 100
- angle C = 90
- angle D = unknown
Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees
A+E+C+D = 360
90+100+90+D = 360
D+280 = 360
D = 360-280
D = 80
Or a shortcut you can take is to realize that angles E and D are supplementary
E+D = 180
100+D = 180
D = 180-100
D = 80
This only works if AD and CD are tangents.
Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.
That would be <span>50.6, I believe. You multiply 92 by 55% or .55 and get 50.6 </span>
Answer:
She made a mistake in Step 7.
Step-by-step explanation:
Step 1 through 6 are correct. Only from Step 6 to Step 7 the problem comes in: both sides of the equation are multiplied by x, however the x on the left side, by error, becomes 1. The correct state in Step 7 should look like this:
