Answer:
x = 6 , 5. For these values of x they are equal.
Step-by-step explanation:
2x² - x + 55 =(x +5)²
2x² - x + 55 = x² + 2*x*5 + 5²
2x² - x + 55 = x² + 10x + 25
2x² - x + 55 - x² - 10x - 25 = 0
2x² - x² - x - 10x + 55 - 25 = 0
x² - 11x + 30 = 0
x² -6x - 5x + 30 = 0
x(x - 6) - 5(x - 6) = 0
(x - 6)(x - 5) = 0
x - 6 = 0 ; x - 5 = 0
x = 6 ; x = 5
We have measures of all tree sides of the both triangles,
so we can use SSS to check if the triangles are similar.
|ED|/|AB| =5/10=1/2
|DC|/|BC| = 4/8 = 1/2
|EC|/|AC| = 6/12 = 1/2
We see that all tree pairs are in proportion, so these triangles ΔABC and ΔEDC are similar.
We have enough information to prove that ΔABC similar to ΔEDC.
Answer:
34
Step-by-step explanation:
17% of 100 is 17, so you can put that into a proportion, 17/100. We need to find what the numerator will be if the denominator is 200. Since you multiply 100 by 2 to get to 200, you have to do the same to the top, and 17x2 is 34.
Therefore, the correct answer is 34.
Hope I helped!!!
Answer:
39.27
Step-by-step explanation:
The area of a semi-circle is pi times the radius squared divided by 2. So basically standard area of a circle formula (pi times the radius squared) but then you add in the extra step of dividing it by 2.
The formula looks like this:
π × r² ÷ 2
The radius is half the diameter of the circle. So basically think of it as a line to the middle of the circle. Our diameter is 10, (the diameter is the entire length of the circle. It gives us this already. If you need diameter and only have the radius add the radius together twice or multiply it by 2 to get the diameter. Fun fact..?)
and it tells us to substitute pi for 3.142.
So, plugging our numbers in we get:
3.142 x 5^2 ÷ 2 = 39.275.
Cut out the 3rd decimal place (5) as it tells us to only include the first 2 decimal places, and we finally end up with 39.27.
<u>Hope this helps and have a nice day!</u>
To get that percentage you just need to divide 1550 by 200p:
1550/2000 = 0.775
Which means that only 77.5% of the students voted
I hope you understood my brief explanation. And please consider marking this awnser as Branliest. Thank you ! :)
