Answer:
<u>Please read the answers below.</u>
Step-by-step explanation:
Let's recall that in a square all its sides are equal length and all the four internal angles measure 90 °
5. If LN = 46, then we have:
OM = <u>46</u> (Same length than LN)
PN = LN/2 = 46/2 = <u>23</u>
ON = √LN²/2 = √ 46²/2 = √ 2,116/2 = √ 1,058 = <u>32.53 (Rounding to two decimal places)</u>
MN = ON = <u>32.53</u>
6. m ∠EFG = <u>90°</u>
m ∠GDH = ∠GDH/2 = 90/2 =<u> 45°</u>
m ∠FEG = ∠DEF/2 = 90/2 =<u> 45°</u>
m ∠DHG = 180 - (∠GDH + ∠DGH) = 180 - (45 + 45)= 180 - 90 = <u>90</u>°
7. Solve for x
6x - 21 = ∠PQR/2
6x - 21 = 90/2
6x - 21 = 45
6x = 45 +21
6x = 66
<u>x = 11</u>
Answer:
No
Step-by-step explanation:
You are making alot of money but you can't pay off all of this and still have money left over
Answer:
Sequence: 13, 20, 27
Rule: Tn = 7n + 6
Step-by-step explanation:
The 3 other numbers that can form an arithmetic progression is 13, 20, 27...
The nth term of an arithmetic progression is expressed as;
Tn = a + (n-1)d
a is the first term = 13
n is the number of terms
d is the common difference = 20 - 13 = 27 - 20
d = 7
Substitute
Tn = 13 + (n-1)(7)
Tn = 13 + 7n - 7
Tn = 7n+13-7
Tn = 7n + 6
This gives the required rule
Okay, so keeping mind that the equation for area is A = L x W, look at the measurements you already have. 5.5 x 10^5 is the length, and 4.2 x 10^4 is the width. Switch them into full form and use a calculator to multiply the two for the area in meters.
550000 x 42000 = 23100000000, which in scientific form is 2.31 × 10^10. So that's answer one.
For the second, in kilometers, just take the full measurement you already have, 23100000000 m, transfer it into kilometers, 23100000 km, and then find its scientific notation, 2.31 × 10^7. That's answer two.
To answer the last question for which is more suitable, just consider what number you'd prefer to look at: a bigger number or a smaller one. Since the kilometer measurement number is smaller, its correct.
Summarily, the answers are 2.31 × 10^10, 2.31 × 10^7, and square kilometers, in that order.
3. Answer: y = 4
<u>Step-by-step explanation:</u>
Need to find the slope (m):
= 
= 0
Now input ONE of the points (1, 4) and the slope (m = 0) into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 4 = 0(x - 1)
y - 4 = 0
y = 4
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4. Answer: 
<u>Step-by-step explanation:</u>
