Answer:
The solution to the system of the equations will be:

Step-by-step explanation:
Given the system of the equations


solving the system of the equations





solving

Divide both sides by -2





Therefore, the solution to the system of the equations will be:

You can do part a using The Pythagoras theorem:-
30^2 = x^2 + 24^2
x^2 = 30^2 - 14^2 = (30+24)(30-24) = 324
x = 18
The measure of EF from the given diagram is 6 units
<h3>Secant secant theorem</h3>
The theorem states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external parts is the same as the product of the other external part.
Mathematically according to the given figure;
4(4+2x) = 5(5+x)
Expand
16 + 8x = 25 + 5x
Collect the like terms
8x - 5x = 25 - 16
3x = 9
Divide both sides by 3
3x/3=. 9/3
x = 3
Find EF
EF = 2x
EF = 2(3) = 6
Hence the measure of EF from the given diagram is 6 units
Learn more on secant theorem here: brainly.com/question/10732273
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Answer:
acorns
Step-by-step explanation:
20x=9y
9/20 to 5/9
5/9 of the acorns collected are from Hannah
9/20 of the conkers collected are from Hannah
5/9 is larger than 9/20
Hannah collected more acorns
Answer:
Step-by-step explanation:
The three angles of a triangle always have to equal 180 in the end, so if you use the method which is the 4 in this instance, it is an obtuse angle that is equal to the top and left angle. You can add 1 and 2 to get 4, and do 4-3 to get 1+2, So, 4=1+2.