Answer:
22.) y = -1/7x + 8/7 23.) y = 2x -3 (x is the slope.)
Step-by-step explanation
22.) Divided each side by 7. Subtract 1/7x from each side to get the eqaution.
23.) Divided each side by 3. Add y to each side. then subtract 9 from each side to get the equation.
Answer:
1,6
-5,9
2,3
Step-by-step explanation:
Answer:
Total number of tables of first type = 23.
Total number of tables of second type = 7
Step-by-step explanation:
It is given that there are 30 tables in total and there are two types of tables.
Let's call the two seat tables, the first type as x and the second type as y.
∴ x + y = 30 ......(1)
Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:
2x + 5y = 81 .....(2)
To solve (1) & (2) Multiply (1) by 2 and subtract, we get:
y = 7
Substituting y = 7 in (1), we get x = 23.
∴ The number of tables of first kind = 23
The number of tables of second kind = 7
Answer/Step-by-step explanation:
Given that ∆GHJ is congruent to ∆XYZ, this:
<G = <X,
<H = <Y = 38°
<J = <Z,
GH = XY = 27 ft
HJ = YZ = 27 ft (two sides of an isosceles ∆ are the same)
GJ = XZ = 18 ft
a. GJ = 18 ft
b. XY = 27 ft
c. ZY = 27 ft
d. m<H = m<Y (corresponding angles)
m<H = 38° (substitution)
e. m<Z = (180 - 38)/2 (base triangles of an isosceles ∆ are equal)
m<Z = 142/2
m<Z = 71°
f. m<J = m<Z (corresponding angles)
m<J = 71° (substitution)
Answer:
Positive Coterminal Angles = 60°,780°
Negative Coterminal Angles = -300°, -660°
Step-by-step explanation:
<h3>
Positive Coterminal Angles:</h3>
To find nearest two coterminal angle of 420°:
1) Subtract 360° from 420°:
420°- 360° = 60° (First Positive Coterminal Angle)
2)Add 360° to 420°:
420°+ 360° =780° (Second Positive Coterminal Angle)
<h3>
Negative Coterminal angles:</h3>
To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.
1) Substract 360° from 420°
420°- 360° = 60°
Which is still a positive value.
2) Again Substract 360° from 60°
60°- 360° = -300° (First Negative Coterminal Angle)
3)Subtract 360° from -300°
-300°- 360° = -660° (Second Negative Coterminal Angle)
