Gabriel's family is investing $5,000 into two different bonds for college. One bond gave

an interest of 5% per year, and the other 3%. If the combined interest for the year was

$220, how much money was invested in each bond?

m∠AVC+m∠CVB=m∠AVB. Option b is correct.

Given a figure in which point C is inside ∠AVB and ∠AVB=62°.

A geometric figure formed by two lines starting from a common point or two planes starting from a common line is called an angle. The space between these lines or planes is measured in degrees.

Knowing that a point C is between ∠AVB and ∠AVC=39° and ∠CVB=23°, then

From the figure, we can see that C is inside ∠AVB, so ∠AVB is divided into two parts, namely ∠AVC and ∠CVB

m∠AVC+m∠CVB=m∠AVB

Now substitute the values ​​we get

39°+23°=62°

62°=62°

So both sides are equal and it's proven.

Hence, a point C is between ∠AVB and ∠AVB=62° then m∠AVC+m∠CVB=m∠AVB.

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Answer:

look on the graph

Step-by-step explanation:

the solutions are x = -7 and x=4

Answer:

x = -7 ; x=4

Step-by-step explanation:

The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]

Answer:

brainliest is appreciated

Answer:

7$

Step-by-step explanation:

Answer:

1. 3x-9+2y

2. 7x+6

Step-by-step explanation:

1. 2x + (x - 4) + (2y - 5)

  2x+x-4+2y-5

  3x-9+2y

2. 3(x - 2) + 4(x + 3)

  3x+4x-6+12

  7x+6

Answer:

1. 3x - 9 + 2y               2. 7x + 6

Step-by-step explanation:

1.

2x + (x - 4) + (2y - 5) =

3x - 9 + 2y

2.

3(x - 2) + 4(x + 3) =

3x - 6 + 4x + 12 =

7x + 6

Answer:

3+16 divided by 4 is 4.75

4×7-2×6..... is5.33

168

The required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].

Given:

Pennies = 65

Nickels = 27

Dimes = 30

Quarters = 18

To find:

The probability of each.

Solution:

The probability formula:

[tex]\text{Probability}=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]

Total number of coins:

[tex]65+27+30+18=140[/tex]

The probability of selecting Pennies is:

[tex]P(\text{pennies})=\dfrac{65}{140}[/tex]

[tex]P(\text{pennies})=\dfrac{13}{28}[/tex]

The probability of selecting nickels is:

[tex]P(\text{nickels})=\dfrac{27}{140}[/tex]

The probability of selecting dimes is:

[tex]P(\text{dimes})=\dfrac{30}{140}[/tex]

[tex]P(\text{dimes})=\dfrac{3}{14}[/tex]

The probability of selecting quarters is:

[tex]P(\text{quarters})=\dfrac{18}{140}[/tex]

[tex]P(\text{quarters})=\dfrac{9}{70}[/tex]

Therefore, the required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].

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Answer:

Step-by-step explanation:

Midpoint formula: ( (x1+x2)/2, (y1+y2)/2)

where (x1, y1) and (x2, y2) are our points

Let (x1, y1) = (4, 5)

and (x2, y2) = (9, 17)

x1 = 4

x2 = 9

y1 = 5

y2 = 17

Then ( (4+9)/2, (5+17)/2 ) = (13/2, 22/2) = (13/2, 11)

Answer:

plot these points on the graph and connect them

Step-by-step explanation:

V(2,0)

T(5,-10)

U(9,-10)

Answer:

answer is in attachment

If the vertex of the parabola is (0, 0) and the focus is (2, 0). Then the equation of the parabola is x² = 8y. Then the correct option is C.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The vertex of the parabola is (0, 0) and the focus is (2, 0).

Then the equation of the parabola passing through the origin is given as

x² = 4ay

Then the value a is equal to 2.

Then the equation will be

x² = 4 × 2 × y

x² = 8y

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Answer:

D

y^2 = 8x

Step-by-step explanation:

Please I suffered through the question.

Hope this helps!

Answer:

n=1

Step-by-step explanation:

(√5^5)^5 =5^n

5^1/5×5=5^n

1/5×5=n

5/5=n

n=1

=========================================================

Explanation:

If we tried the x coordinate of choice A, then,

y = -3x-7

y = -3*2-7

y = -6-7

y = -13

This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.

Let's try x = -2

y = -3x-7

y = -3*(-2)-7

y = 6-7

y = -1

This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.

If we tried x = 1, then,

y = -3x-7

y = -3*1-7

y = -3-7

y = -10

Which shows that (1,-10) is a point on this line, which rules out choice D.

The visual summary is shown below as a graph. Only point C is on the red line.

Answer:

45%

Step-by-step explanation:

18/40

You multiply this by 10/10 to get

180/400

And then you divide by 4 to get

45/100

= 0.45

= 45%

Answer:  12 units

Replace "units" with "feet", "meters", etc. if your teacher instructs it.

==============================================================

Explanation:

M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.

So,

LM = MN

3x = 2x+2

3x-2x = 2

x = 2

Use this x value to then say

Segments LM and MN are 6 units each.

From that, we know,

LN = LM+MN = 6+6 = 12

The distance from your house to your friends house is 12 units.

Answer:

x = 48

Step-by-step explanation:

Multiply both sides by 6

x = 6 * 8

x = 48

Check:

48/6 = 8

8 = 8

Answer:

[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]

Answer:

1 83/99

Step-by-step explanation:

This is how u do it

Answer:

[tex]\frac{183333333333}{100000000000}[/tex]

Step-by-step explanation:

1.83333333333 as fraction

we need to divide the fraction by the number of digits it have before decimal point to convert it to fraction

here we have 11 digits before decimal point so we need to divide it by 100000000000

so

[tex]\frac{183333333333}{100000000000}[/tex]

Hi ;-)

[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]

Answer:

y + 8 = -4 (x + 6)

Step-by-step explanation:

y + 8 = -4 (x + 6)

Answer:

4x - 3x - 2y -y +7 + 5

Step-by-step explanation:

4x-3x =x

-2y-y = (-3y)

7+5 = 12

x-3y+12

Answer:

here are the steps

multiply is binary number with its position value with the terms of power to starting from the extreme right digit

increase the power 1 by 1 keeping the base fixed as 2

calculate the sum of all the products to get a decimal number

PS. also see the attachment for better understanding :)

have a great day ahead!

7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.

Answer:

x = 18

Step-by-step explanation:

total money = money spent + money left

x = 7+11

x = 18

Answer:

Step-by-step explanation:

E ⊂ F ⊂ G

Step-by-step explanation:

A whole number that is not able to be divided by two into two equal whole numbers. Example: 1, 3, 5, and 7 are odd numbers

Answer:

6.3

Step-by-step explanation

Each side of a square is equal; therefore, to find the length of one side, we can find the square root of the area, which, rounded, is 6.3.

Answer:

a=A=40≈6.32456in

[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]

[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]

[tex]\\ \rm\longmapsto 13x-1=180[/tex]

[tex]\\ \rm\longmapsto 13x=169[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]

[tex]\\ \rm\longmapsto x=13[/tex]

Now

[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]

[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]

Answer:

∠ DEC = 142°, ∠ CEF = 38°

Step-by-step explanation:

∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so

11x - 12 + 2x + 10 = 180 , that is

13x - 2 = 180 ( add 2 to both sides )

13x = 182 ( divide both sides by 13 )

x = 14

Then

∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°

∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°

Answer:

c.23

Step-by-step explanation:

easy keep sendin em