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qaws [65]
3 years ago
13

If m<13=m<15=m<7, what conclusions can you make about lines a, b, c, and d?

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0

Answer:

option D

Lines a and b are parallel and lines c and d are parallel.

Step-by-step explanation:

Given in the question four lines a , b, c, d.

<h3>Prove one</h3>

If two parallel lines (a,b) are cut by a transversal(d), then corresponding angles m<7 and m<15 are congruent.

They are know as corresponding angles.

Hence lines a and b are parallel.

<h3>Prove two</h3>

If two parallel lines (c,d) are cut by a transversal(d), then corresponding angles m<13 and m<13 are congruent.

They are know as corresponding angles

Hence lines c and d are parallel

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The IQR tells you how spread out the "middle" values are. It can also be used to figure out if there are any outliers.
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$800 deposit over 10 years with an interest rate of 2%
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Answer:

the interest is 960.

Step-by-step explanation:

the formula: I=prt    i=interest p= pricipal [the money you start with]

r= rate t= time

I=?                                                     I= 800 (0.02) (10)

P= $800                                           I= 160+ 800 {because $160 is added}

R= 2% --> 0.02 [as a decimal]         I= $960

T= 10 years

8 0
3 years ago
I WILL GIVE BRAINLIEST
shusha [124]

Answer:

x = -3

Step-by-step explanation:

y\geq -\frac{2}{3} x-3\\&#10;y\leq 3x+8

-\frac{2}{3} x-3=3x+8

Add 2/3 x to both sides:  -3=\frac{11}{3}x+8

Subtract 8 from both sides: -11=\frac{11}{3}x

Multiply both sides by 3:  -33=11x

Divide both sides by 11:  x=-3

Therefore, point of intersection between both lines is at point (-3, -1)

5 0
2 years ago
A table with a round top is cut in half so that it can be used against a wall.after it is cut,the edge along the wall is 6 feet
MrRissso [65]

Answer:

The area of the table after it is cut is 12 or 36 because

Step-by-step explanation:

6 times 2= 12 and 6 times 6= 36 so year

4 0
3 years ago
QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Andru [333]

Answer:

(a)Revenue=580x-10x²,

Marginal Revenue=580-20x

(b)Fixed Cost, =900

Marginal Cost,=300+50x

(c)Profit Function=280x-900-35x²

(d)x=4

Step-by-step explanation:

The price, p = 580 − 10x where x is the number of cakes sold per day.

Total cost function,c = (30+5x)²

(a) Revenue Function

R(x)=x*p(x)=x(580 − 10x)

R(x)=580x-10x²

Marginal Revenue Function

This is the derivative of the revenue function.

If R(x)=580x-10x²,

R'(x)=580-20x

(b)Total cost function,c = (30+5x)²

c=(30+5x)(30+5x)

=900+300x+25x²

Therefore, Fixed Cost, =900

Marginal Cost Function

This is the derivative of the cost function.

If c(x)=900+300x+25x²

Marginal Cost, c'(x)=300+50x

(c)Profit Function

Profit, P(x)=R(x)-C(x)

=(580x-10x²)-(900+300x+25x²)

=580x-10x²-900-300x-25x²

P(x)=280x-900-35x²

(d)To maximize profit, we take the derivative of P(x) in (c) above and solve for its critical point.

Since P(x)=280x-900-35x²

P'(x)=280-70x

Equate the derivative to zero

280-70x=0

280=70x

x=4

The number of cakes that maximizes profit is 4.

5 0
3 years ago
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