Answer:
Option D 74°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
The arcs that the outer angle encompasses are
254° and (360-254)=106°
therefore
∠x=(1/2)[254°-106°]
∠x=(1/2)[148°]
∠x=74°
Answer:
1. Subtract 18 from both sides to get the equation set to 0:
x2 + 7x - 18 = 0
Now factor. Given the negative sign in front of the 18, you will have (x + ) (x - ) as your factors, with the larger one being positive. Now, which factors of 18 can be combined to get a result of 7? I'll leave that for you.
2- 2.3 Solve : p-7 = 0
Add 7 to both sides of the equation :
p = 7
3-Final result :
(m - 1) • (m - 8)
4-Step by step solution :
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring x2-16x+63
The first term is, x2 its coefficient is 1 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is +63
Step-1 : Multiply the coefficient of the first term by the constant 1 • 63 = 63
Step-2 : Find two factors of 63 whose sum equals the coefficient of the middle term, which is -16 .
-63 + -1 = -64
-21 + -3 = -24
-9 + -7 = -16 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -7
x2 - 9x - 7x - 63
Answer:
<u>The solution for this system is x = 1/2 and y = 9/2</u>
Step-by-step explanation:
1. We have this system of equations:
x - 3y = -13 and 5x + 7y = 34
2. Let's try to find out the value of x on the first equation:
x - 3y = - 13
x = 3y - 13
3. Now, let's replace x on the second equation for finding y:
5x + 7y = 34
5 (3y - 13) + 7y = 34
15y - 65 + 7y = 34
22y = 34 +65
22y = 99
2y = 9 (Dividing by 11 at both sides)
<u>y = 9/2</u> (Diving by 2 at both sides)
4. Now, let's find out the value of x on the first equation, using the value of y:
x - 3y = - 13
x - 3 (9/2) = - 13
x - 27/2 = -13
x = -13 + 27/2
x = (-26 + 27)/2 (Adding - 13 and 27/2)
<u>x = 1/2</u>
5. Finally, let's prove the values of x and y are correct on the second equation of the system:
5x + 7y = 34
5 (1/2) + 7 (9/2) = 34
5/2 + 63/2 = 34
(5 + 63)/2 = 34
68/2 = 34
<u>34 = 34</u>
<u>It has been proved that x = 1/2 and y = 9/2 are correct</u>
Answer:
ok in this case will represent the height with a the bells with b and the hypotenuse with c so it will be c squared is equals to a squared plus b squared 12 squared + 5 squared is equals to c squared 12 square is 144 while 5 squared is 25 when added it is 169 so csquared is equals to 169 to get c we find √ 169 source is equals to 13
Answer:
12, also do you realise that the answer is on that sheet....
