Answer:
x = 90°
y = 43°
Step-by-step explanation:
We know that one angle equals 47°.
The two triangles are right triangles, so that makes x = 90°.
To find y, we add 90 + 47.
That would give us 137°.
All triangles add up to 180°.
180 - 137 = 43.
43° is the answer.
Answer:
Solving the expression ![\frac{\sqrt[3]{7} }{\sqrt[5]{7} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B7%7D%20%7D%7B%5Csqrt%5B5%5D%7B7%7D%20%7D)
we get 
Option D is correct option.
Step-by-step explanation:
We need to solve the expression:
We know that
![\sqrt[3]{x}=x^{\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B3%7D)
and ![\sqrt[5]{x}=x^{\frac{1}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B5%7D)
<u>Using above rule:</u>
<u />![\frac{\sqrt[3]{7} }{\sqrt[5]{7} }\\=\frac{7^{\frac{1}{3}}}{7^{\frac{1}{5}}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B7%7D%20%7D%7B%5Csqrt%5B5%5D%7B7%7D%20%7D%5C%5C%3D%5Cfrac%7B7%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%7B7%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D%7D)
<u />
Now, we know the exponent rule if bases are same and divided then exponents are subtracted i.e: 
<u />
Using the exponent rule
So, solving the expression we get
Option D is correct option.
Answer:
y=5x-2
Step-by-step explanation:
plug the numbers into y=mx+c where m is the gradient (or slope) and c is the y-intercept
Answer:
F=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(6−f)−4=3f−4
(3)(6)+(3)(−f)+−4=3f+−4(Distribute)
18+−3f+−4=3f+−4
(−3f)+(18+−4)=3f−4(Combine Like Terms)
−3f+14=3f−4
−3f+14=3f−4
Step 2: Subtract 3f from both sides.
−3f+14−3f=3f−4−3f
−6f+14=−4
Step 3: Subtract 14 from both sides.
−6f+14−14=−4−14
−6f=−18
Step 4: Divide both sides by -6.
−6f−6=−18−6f=3
Answer:
f=3
