Answer:
Step-by-step explanation:
Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.
A and B look like they are added.
C looks like some sort of subtraction has taken place.
D: - 1 * 7 = - 7
4*7 = 28
5*7 = 35
Answer:
162, 163, and 164.
Step-by-step explanation:
Here we will use algebra to find three consecutive integers whose sum is 489. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 489. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 489
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 489
3X + 3 = 489
3X + 3 - 3 = 489 - 3
3X = 486
3X/3 = 486/3
X = 162
Which means that the first number is 162, the second number is 162 + 1 and the third number is 162 + 2. Therefore, three consecutive integers that add up to 489 are 162, 163, and 164.
162 + 163 + 164 = 489
We know our answer is correct because 162 + 163 + 164 equals 489 as displayed above.
Answer: (5, -6)
Step-by-step explanation: i just answered that
Answer:
x = [-1 | 5, 2 | 1]
Step-by-step explanation:
We assume your notation is used to describe 2×2 matrices.
Solve for x:
2x -k = m
2x = m + k . . . . add k
x = (1/2)(m +k) . . . . multiply by 1/2
Fill in the values:
x = 1/2[2+(-4) | 8 +2, -2+6 | 5+(-3)]
x = [-1 | 5, 2 | 1]
The value of arc FEH is 234 degrees i.e the major arc FH subtends an angle of 234 degrees at the center.
The value of angle subtended by the major arc FH at the circle will be the half of angle subtended by it on the center,
![\begin{gathered} \angle\text{FGH}=\frac{234^{\circ}}{2} \\ =117^{\circ} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cangle%5Ctext%7BFGH%7D%3D%5Cfrac%7B234%5E%7B%5Ccirc%7D%7D%7B2%7D%20%5C%5C%20%3D117%5E%7B%5Ccirc%7D%20%5Cend%7Bgathered%7D)
Simirally the angle subtended by the minor arc FG on the center is 109 hence it will subtend half angle at the circle,
![\begin{gathered} \angle EHG=\frac{109^{\circ}}{2} \\ =54.5^{\circ} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cangle%20EHG%3D%5Cfrac%7B109%5E%7B%5Ccirc%7D%7D%7B2%7D%20%5C%5C%20%3D54.5%5E%7B%5Ccirc%7D%20%5Cend%7Bgathered%7D)
The value of angle FEH
![\begin{gathered} \angle FEH+\angle FGH=180 \\ \angle FEH+117=180 \\ \angle FEH=63^{\circ} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cangle%20FEH%2B%5Cangle%20FGH%3D180%20%5C%5C%20%5Cangle%20FEH%2B117%3D180%20%5C%5C%20%5Cangle%20FEH%3D63%5E%7B%5Ccirc%7D%20%5Cend%7Bgathered%7D)
Thus, the required value of angle FEH is 63 degrees and the value of angle EHG is 54.5 degrees.