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3 years ago

Please help me with the geometry.

Mathematics

1 answer:

Fynjy0 [20]3 years ago

8 0

Step-by-step Answer:

To prove

Triangle ADC is congruent to triangle BDC

AC=BC (given)

DC=DC (common)

AD=BD (given CD bisects AB)

Therefore triangle ACD is congruent to BDC (justification: SSS)

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a deck of cards contains red cards number 23 blue cards numbered 1 2 3 4 and green cards numbered one to if a single card is pic

svp [43]

Correct question:

A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is BLUE OR has an ODD number?

Answer: 2/13

Step-by-step explanation:

Number of red cards = 3 (1,2,3)

Number of blue cards = 4 (1, 2, 3, 4)

Number of green cards = 2 (1,2)

Total number of cards in a deck = 52

Probability of picking a blue card OR has an odd number

P(picking a blue card ) = required outcome / possible outcome

P( picking a blue card ) = 4/52 = 1/13

P( odd number card ) = 6/52 = 3/26

P(blue and odd) = 2/52 = 1/26

P(picking a blue card or an odd number )

P(picking a blue ) U P(picking an odd number)

P(picking a blue) + (P(picking an odd) - P(picking a blue odd)

1/13 + 3/26 - 1/26= (2 + 3 - 1)/26 = 4/26 = 2/13

6 0

3 years ago

1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

Find the value of x

$x-2(0)= 4$

$x=4$

The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

case A) point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

case B) point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

$1\geq 3$ ------> is not true

therefore

the point $(2,1)$ is not a solution of the inequality

case C) point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

$0\geq 7$ ------> is not true

therefore

the point $(3,0)$ is not a solution of the inequality

case D) point $(1,1)$

Substitute the value of x and y in the inequality

$x=1,y=1$

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

The x-intercept is a positive number

The solution is the shaded area above the dashed line

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

3 0

3 years ago

Read 2 more answers

Which polynomial is factored completely?

n200080 [17]

G^5 -g = g(g^4 -1)=g(g^2 -1)(g^2 +1) = g(g-1)(g+1)(g^2 +1)

24g^2 -6g^4 = 6g^2(4 -g^2) = 6g^2(2 -g)(2 +g)

6 0

3 years ago

Read 2 more answers

the 7th grade has 207 students. there are 23 more girls than boys in the grade. how many boys are in the 7th grade

valkas [14]

Answer:

92 boys

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

4 0

2 years ago

Read 2 more answers

Find the solution to the system of equations. You can use the interactive graph below to find the solution. y=-4x-3 y=-2x+1 x= y

Mama L [17]

Answer:

(-2, 5)

Step-by-step explanation:

I will assume that your system is

y = -4x - 3

y = -2x + 1

Multiplying the second equation by -2 results in

y = -4x - 3

-2y = 4x - 2

combining these two equations eliminates x temporarily:

-y = -5, so that y must be 5.

Substituting 5 for y in the second equation, we get:

5 = -2x + 1, or

4 = -2x, which results in x = -2

and so the solution is (-2, 5)

4 0

3 years ago