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Artyom0805 [142]
3 years ago
6

Consider this system of inequalities. x + y ≤ –3 y < StartFraction x Over 2 EndFraction Which graph shows the solution for th

is system? On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 2, negative 1) and (0, 0). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 2, negative 1) and (0, 0). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (negative 2, negative 1) and (0, 0). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (negative 2, negative 1) and (0, 0). Everything to the left of the line is shaded.
Mathematics
1 answer:
Rzqust [24]3 years ago
8 0
Ok thank you so I did it look at it and
381944a -8419
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In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°. What is the measure of ∠3? 21° 60° 120° 159°
cricket20 [7]
M<2 = m<3
but
m<1 + m<2 = 180
4x + 36 + <span>3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21

m<2 = </span><span>3x – 3
m<2 = 3(21) - 3
m<2 = 63 - 3
m< 2 = 60

m<3 = m<2 = 60

answer
</span><span>60°</span>
4 0
3 years ago
At the produce counter, 71⁄5 pounds of seedless grapes cost $12.89. How much would 3 pounds cost? A. $3.58 B. $5.16 C. $1.79 D.
Sonja [21]

Answer:

D. $5.37

Step-by-step explanation:

We need to figure out how much grapes cost per pound

Change the mixed number to an improper fraction

7 1/5 = (5*7+1) /5 = 36/5

$12.89 / 36/5

Copy dot flip

12.89 * 5/36 = 1.79 per lb

If we are purchasing 3 pounds, we will multiply by 3

3 lbs * $1.79 / lb = $5.37

3 0
3 years ago
Given:quadrillateral ABCD inscribed in a circle
son4ous [18]

Answer:

Step-by-step explanation:

Given: quadrilateral ABCD inscribed in a circle

To Prove:

1. ∠A and ∠C are supplementary.

2. ∠B and ∠D are supplementary.

Construction : Join AC and BD.

Proof: As, angle in same segment of circle are equal.Considering AB, BC, CD and DA as Segments, which are inside the circle,

∠1=∠2-----(1)

∠3=∠4-----(2)

∠5=∠6-------(3)

∠7=∠8------(4)

Also, sum of angles of quadrilateral is 360°.

⇒∠A+∠B+∠C+∠D=360°

→→∠1+∠2+∠3+∠4+∠5+∠6+∠7+∠8=360°→→→using 1,2,3,and 4

→→→2∠1+2∠4+2∠6+2∠8=360°

→→→→2( ∠1 +∠6) +2(∠4+∠8)=360°⇒Dividing both sides by 2,

→→→∠B + ∠D=180°as, ∠1 +∠6=∠B , ∠4+∠8=∠B------(A)

As, ∠A+∠B+∠C+∠D=360°

∠A+∠C+180°=360°

∠A+∠C=360°-180°------Using A

∠A+∠C=180°

Hence proved.

credit: someone else

5 0
3 years ago
Find an equation of the tangent line to the curve at the given point. y=secx (pi/3,2)
olchik [2.2K]
Base on the question where as asking to calculate the equation of the tangent line to the curve at the given point and base on the given data and in my further computation about the said given, I would say <span>y = 2√(3)x + 2 - (2pi√(3))/3. I hope you are satisfied with my answer and feel free to ask for more </span>
7 0
3 years ago
(CO 4) In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a standard deviation of 0.09 o
Masja [62]

Answer:

92% Confidence Interval = [8.515, 8.605]

Step-by-step explanation:

The number of samples given is 15,this less than 30, hence, we use the t score confidence Interval

= Mean ± t score × Standard deviation/√n

Mean = 8.56 ounces

Standard deviation = 0.09 ounces

n = 15

We find the degrees of freedom = n - 1

= 15 - 1 = 14

Using the T score table

T score for 92% confidence interval with degrees of freedom 14

= 1.8875

Hence:

Confidence Interval =

= 8.56 ± 1.8875 × 0.09/√15

= 8.56 ± 0.0454010035

Confidence Interval

8.56 - 0.0454010035

= 8.5145989965

≈ 8.515

8.56 + 0.0454010035

= 8.6054010035

≈ 8.605

92% Confidence Interval = [8.515, 8.605]

7 0
2 years ago
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