First
angle in front of c is 30°, so hypotenuse is equal to 2c
it's right triangle, so let's use Pythagorean theorem\
![(2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=\dfrac{16}{3} \\\\c=\dfrac{4}{\sqrt{3} } =\dfrac{4\sqrt{3} }{3 }](https://tex.z-dn.net/?f=%282c%29%5E2%3Dc%5E2%2B4%5E2%5C%5C4c%5E2%3Dc%5E2%2B16%5C%5C3c%5E2%3D16%5C%5C%5C%5Cc%5E2%3D%5Cdfrac%7B16%7D%7B3%7D%20%5C%5C%5C%5Cc%3D%5Cdfrac%7B4%7D%7B%5Csqrt%7B3%7D%20%7D%20%3D%5Cdfrac%7B4%5Csqrt%7B3%7D%20%7D%7B3%20%7D)
Second
b - the base of the triangle, angles at the base are equal ⇒ cathets are equal
it's right triangle, so let's use Pythagorean theorem
![b^2=7^2+7^2\\b^2=49+49\\b=\sqrt{2\times49} =7\sqrt{2}](https://tex.z-dn.net/?f=b%5E2%3D7%5E2%2B7%5E2%5C%5Cb%5E2%3D49%2B49%5C%5Cb%3D%5Csqrt%7B2%5Ctimes49%7D%20%3D7%5Csqrt%7B2%7D)
The answer is A so pick that
Answer: A add the equations and C: Subtract the bottom equation from the top equation.
Step-by-step explanation: By adding the equations, you are left with
12x=8 which successfully eliminates the y values and subracting the bottom equation from the top equation.
Hope this helps! :)
A+b=100
a-b=6 ⇒ a= b+6
(b+6)+b=100
2b+6=100
2b=100-6
2b=94
b=94:2
b=47
a=47+6
a=53
The correct answer is 110 cm
Explanation:
Fractions always include two values (one at the top and the other at the bottom) and they represent the proportion of something, for example, 1/2 of an apple means there is only half apple. Now, to calculate how much is 5/7 of 154 centimeters, simply divide the total number into the denominator (bottom number) and then multiply the result by the numerator (top number). This process is shown in detail below:
- 5 is the numerator and 7 is the denominator
5/7 of 154 cm
154 cm / 7 = 22
22 x 5 = 110 cm