What is the value of x?

Enter your answer in the box.

x =?

Answer:

x = 11

Step-by-step explanation:

Assuming that segment EG is a diameter we can solve this using the straight angle theorem ( Which states that angles on a straight line add up to equal 180. Also note that central angles and there corresponding arcs are congruent. )

We are also told that CH is a bisector.

A bisector splits an angle into TWO EQUAL parts.

mDG is split into mDC and mCG

So mDC = mCG

This meaning that because mDC = 7x + -1 , mCG also equals 7x - 1

Leading to us having enough information to use the straight line theorem ( which also works with half circles and arcs. )

So 180 = 2 ( 7x - 1 ) + 2x + 6

now we solve for x

step 1 distribute the 2

2 * 7x = 14x

2 * - 1 = -2

now we have 180 = 14x - 2+ 2x + 6

step 2 combine like terms

14x + 2x = 16x

-2 + 6 = 4

now we have 180 = 16x + 4

step 3 subtract 4 from each side

4 - 4 cancels out

180 -  4 = 176

Now we have 176 = 14x

step 4 divide each side by 14

176 / 16 = 11

14x/14 = x

we're left with x = 11

Answer:

1. 2 6/8

2. 1 5/6

3. 3/4

4. 3 7/10

5. 2 7/8

6. 6 5/6

7. 5/7

8. 3 6/10

9. 6 2/3

10. 8 3/4

Step-by-step explanation:

Answer:

A)n+0.185n C) 1.185n

Step-by-step explanation:

the formula for simple interest is [tex]I=P(1+rt)[/tex]

if the interest rate is 18.5% and the time is 1 year, it would look like:

[tex]P(1+0.185(1))[/tex] or [tex]P(1.185)[/tex]

Answer:

t < 5

Step-by-step explanation:

47 > 6t + 17

30 > 6t

5 > t

t < 5

Answer:

C

Step-by-step explanation:

Answer:

try

Step-by-step explanation:

try b if not then d

Answer:

a = 2, b = 1, c = - 15

Step-by-step explanation:

The standard form of a quadratic expression is ax² + bx + c ( a ≠ 0 )

2x² + x - 15 ← is in standard form

with a = 2, b = 1, c = - 15

Answer/Step-by-step explanation:

Scale factor is the ratio of the corresponding side lengths of two similar figures or shapes.

For an enlargement, divide the length of the new figure over the length of the original figure.

The scale factor of an enlargement should give you a whole number or mixed fraction.

For example, if the length an original figure is 2, and the length when enlarged is 6, the scale factor = 6/2 = 3

Answer:

Answer/Step-by-step explanation:

Scale factor is the ratio of the corresponding side lengths of two similar figures or shapes.

For an enlargement, divide the length of the new figure over the length of the original figure.

The scale factor of an enlargement should give you a whole number or mixed fraction.

For example, if the length an original figure is 2, and the length when enlarged is 6, the scale factor = 6/2 = 3

The Decimal point is a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of the decimal point.

Given information:

Expanded Form of 6.02

[tex]6.02 = (6 \times 100) + (2 \times \frac{1}{102} )\\6.02 = (6 \times 1) + (2 \times \frac{1}{100} )\\6.02 = 6 + \frac{2}{100}\\ 6.02 = 6 + 0.02[/tex]

For more information refer to the link given below:

https://brainly.com/question/104324

Answer:

Neither

Step-by-step explanation:

Consecutive means 1 right after the other. so they touch. and if they are SIDES then they must be intersecting somewhere along the way so they wouldn't be either of the other two.

Answer:

The value of r will be 0.043

Step-by-step explanation:

Firstly, we need to write the exponential decay formula

the general form of the formula is;

A = P(1-r)^t

where A is the price after a certain year t

P is the initial value

r is the decay rate

t is the time

From the question, we have that;

r = 4.3%

4.3% in decimal will be 4.3/100 = 0.043

Answer:

G.(x, y) → (x+5, y+3)

Step-by-step explanation:

The rule would be (x+5, y+3) and the only one with that rule is G.

Answer:

KL is parallel to B. F'G'

FG is not parallel to E'F'

Step-by-step explanation:

Answer:

choice 1) 312 cm²

Step-by-step explanation:

area = (16 x 12) + (10 x 12) = 312 cm²

Answer:

312

Step-by-step explanation:

triangle：

10x12/2=60

two triangle：

60x2=120

rectangle：

16x12=192

add up：

120+192=312

Answer:

You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.

Step-by-step explanation:

We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.

Simulation is the process of creating a computer model or a physical system that behaves like a real-world system or process, in order to study its behavior or performance under various conditions.

We have,

To estimate the probability that 3 or more kicks are made, we need to count the number of trials in which 3, 4, or 5 kicks were made, and divide that by the total number of trials (which is 5 in this case).

From the table,

We can see that there are three trials in which 3 kicks were made

(trials 1, 3, and 5), one trial in which 4 kicks were made (trial 4), and no trials in which all 5 kicks were made.

The total number of trials in which 3 or more kicks were made is:

= 3 + 1 + 0

= 4

To estimate the probability, we divide the number of successful trials by the total number of trials:

P(3 or more kicks made) ≈ 4/5

Therefore,

We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.

Learn more about simulations here:

https://brainly.com/question/16359096

#SPJ2

Answer:

84.13

Step-by-step explanation:

4+4=8

14-8=6

the area of a circle is A=πr^2

A=π3^2

=28.27

divide is by 2 cos its a semi circle

28.27/2

14.13+(5x14)

14.13+70=84.13

Answer:

Quadrilateral ABCD is a rhombus, because all four sides are congruent and adjacent sides are not perpendicular .

Step-by-step explanation:

Given :

A quadrilateral with its coordinates as follows:

Where  A (3, 1), B (4,4), C (7,5), D (6,2).

We will measure the length of the congruent sides by applying distance formula.

Distance formula = square root (x^2 - x^1)^2 + (y^2 - y^1)^2

So,  

AB = ( insert the coordinates using the formula )

BC = ( insert the coordinates using the formula )  

CD = ( insert the coordinates using the formula )

DA = ( insert the coordinates using the formula )

It all equals = squareroot 10

From the above measurement and looking into the diagram we can conclude that the Quadrilateral ABCD is a rhombus.  

In rhombus the adjacent sides are not perpendicular and its diagonals are of different length.

Answer:

ligma

Step-by-step explanation:

Answer:

345

Step-by-step explanation:

because yese

Answer:

the principal or invested amount is $457.63

Step-by-step explanation:

The computation of the invest amount is given below:

As we know that

Principal = AMount ÷ (1 + rate × time)

= $540 ÷ (1 + 0.03 × 6)

= $540 ÷ 1.18

= $457.63

Hence, the principal or invested amount is $457.63

Basically we have applied the above formula so that the same would be calculated

Step-by-step explanation:

5. To find the area of any rectangle, multiply length and width

6. To find the area of any triangle, multiply base times height

i don't know about question 4 sorry :(

Answer:

761.8

Step-by-step explanation:

Answer:

I highly doubt this is right bu $26 since there are many face cards in a deck.

Step-by-step explanation:

Answer:

a) [tex]P(B/A) = P(B)[/tex]

Step-by-step explanation:

Step(i):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

we will use the conditional probability

              [tex]P(A/B) = \frac{P(AnB)}{P(B)}[/tex]

                     or

            [tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]

Step(ii):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

 [tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]

[tex]P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

[tex]P(B/A) = P(B)[/tex]

Answer:

17 1/2 i think

Step-by-step explanation:

Answer:

volume = (length × Width × height)

(567/2) = (9×) × (17/4) × (w)

283.5 = 38.25w

w= 7.41inches

Answer:

d. 11.6

Step-by-step explanation:

11.6 is the answer. Hope that hels

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{p^2 + 24 = 159}[/tex]

[tex]\large\text{SUBTRACT 24 to BOTH SIDES}[/tex]

[tex]\mathsf{p^2+24-24=159-24}[/tex]

[tex]\large\text{Cancel out: 24 - 24 because that gives you 0}[/tex]

[tex]\large\text{Keep: 159 - 24 because it helps you solve for p}[/tex]

[tex]\mathsf{159 - 24 = \bf 135}[/tex]

[tex]\large\text{New equation: }\mathsf{p^2 =135}[/tex]

[tex]\large\text{TAKE your SQUARE ROOT}[/tex]

[tex]\mathsf{p=\pm 3\sqrt{135}}[/tex]

[tex]\mathsf{\sqrt{135}=3\sqrt{15} \ OR\ -\sqrt{135} = -3\sqrt{15}}[/tex]

[tex]\large\text{Original answer: }\mathsf{\underline{p=3\sqrt{15}\ or\ p = -\sqrt{15}}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf D. 11.6}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Step-by-step explanation:

given: B is the centered poin of the circle

points A,C,D lies on its circumference

measure angle ABC is 46⁰

<ADC is inscribed in the circle

<ABC is the central angle

to find: what is the measure of angle ADC?

solution:

inscribed angle therom states that an inscribe angle is half of a central angle that subtends the same arc

hence, <ADC = 1/2 × <ABC

<ADC= 1/2 × 46⁰

<ADC=1/2 ×46⁰

<ADC= 23⁰

HOPE IT HELPED!!

Step-by-step explanation:

mp=$30

%D=10%=%D=D/M.p×100

10%=D/30$×100=100D=10

DISCOUNT =$3

S.P=$27×6÷100=$1.62+27