What is the largest possible value
could take given that it must be an integer?
x<5

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

Given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.

Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.

Thus:

Recall:

Same-side interior angles are always supplementary. That is,

m<1 + m<6 = 180 degrees.

Let's apply ratio to find the measure of <1 and <6.

[tex]m \angle 1 = \frac{1}{1 + 14} \times 180\\\\m \angle 1 = \frac{1}{15} \times 180\\\\m \angle 1 = 12^{\circ}[/tex]

[tex]m \angle 6 = \frac{14}{1 + 14} \times 180\\\\m \angle 6 = \frac{14}{15} \times 180\\\\m \angle 6 = 168^{\circ}[/tex]

Since we know the measure of <1 and <6, we can find the measure of others as follows:

In conclusion, given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

Learn more here:

https://brainly.com/question/15937977

9514 1404 393

Answer:

  an infinite number

Step-by-step explanation:

In the complex plane, all of the numbers with modulus 5 form a circle of radius 5 around the origin. There are an infinite number of points on that circle.

An infinite number of complex numbers have a modulus of 5.

Answer:

"If two arcs are both equal in measure and they're segments of congruent circles, then they're congruent arcs"

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

set all of your values equal to 360 (bc thats the value of the degrees in a circle) and then solve for x!

75 + 92 + ( x+57 ) + ( x+92) = 360

( x+57 ) + ( x+92 ) = 201

2 x = 44

x = 22

Answer:

(0,3)

Step-by-step explanation:

An easy way to determine the y intercept of a function is to graph it, and to see where the function passes through the y axis. As you can see below, the y intercept of this graph is at (0,3). Hope this helps!

Answer:

Y intercept = (0,3)

Step-by-step explanation:

When looking at a equation like this the y intercept would always the the number without a variable beside it.

-x would be the slope of the function

So 3 is your y intercept

Hope this helps!

Answer:

6a−14

Step-by-step explanation:

Answer:

[tex]=6a-14[/tex]

Step-by-step explanation:

[tex]3\left(4a-3\right)-\left(6a+5\right)\\\mathrm{Expand}\:3\left(4a-3\right):\quad 12a-9\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\\mathrm{Simplify}\:3\cdot \:4a-3\cdot \:3:\quad 12a-9\\=12a-9\\-\left(6a+5\right):\quad -6a-5\\=12a-9-6a-5\\\mathrm{Simplify}\:12a-9-6a-5:\quad 6a-14\\=6a-14[/tex]

Answer:

0.000000207 in scientific notation = 2.07 × 10^-7

Remember it has to have one number before the decimal.

8.2 * 10^-7 in standard form = 0.00000082

YOu have to move the decimal back.

In the first box the answer is 2.07 × 10^-7.

In the second box the answer is 0.00000082.

Step-by-step explanation:

Desmos Graphing Calculator

Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.  

A=bh/2

A=2/3ft*3/5ft/2

A=2/3×5/5*3/5×3/3/2

A=10/15*9/15/2

A=90÷15/2

A=6ft^2

Answer:

The area of triangle is 1/5 feet².

Step-by-step explanation:

You have to use area of triangle formula, A = 1/2×height×base. Then substitute the following values into the formula :

[tex]area = \frac{1}{2} \times height \times base[/tex]

Let height = 3/5,

Let base = 2/3,

[tex]area = \frac{1}{2} \times \frac{3}{5} \times \frac{2}{3} [/tex]

[tex]area = \frac{1}{2} \times \frac{1}{5} \times \frac{2}{1} [/tex]

[tex]area = \frac{1}{2} \times \frac{2}{5} [/tex]

[tex]area = \frac{1}{5} {feet}^{2} [/tex]

Answer:

Step-by-step explanation:

5.volume=8×7×6=336 mi³

6.r=16/2=8 yd

volume=4/3×π×8³=2048/3 π yd³

≈2144.7 yd³

7.r=2.5/2=1.25 in

v=πr²h=π×1.25²×5

volume of 150 cups=7.8125 π×150=1171.875 π in³≈3681.6 in³

8. statement not visible.

Answer:

x³ - 9x² + 27x - 27

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side ) , thus

V = (x - 3)³

   = (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL

   = (x - 3)(x² - 6x + 9) ← distribute

   = x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms

   = x³ - 9x² + 27x - 27

Answer:

Length of DE = 7.5 units

Length of DB = 9.2 units

Measure of ∠FED = 82°

Step-by-step explanation:

In ΔABC,

AD ≅ BD and CE ≅ BE [Given]

By the theorem of mid-segments,

DE = [tex]\frac{1}{2}(AC)[/tex]

     = [tex]\frac{1}{2}(15)[/tex]

DE = 7.5 units

Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]

Therefore, length of DB = 9.2 units

[Although it's not given in the question, but we assume FE║AB]

Since FE║AB and DE is a transverse,

Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]

Answer:

72.8%

Step-by-step explanation:

1729 / 2375 = 0.728 -> 72.8%

Answer:

72.8 %

Step-by-step explanation:

£2375 ............ 100%

£1729 ...................x%

x = £1729×100%/£2375 = £172900/£2375 = 72.8 %

al3xis

Answer:  3/4

Step-by-step explanation:

1. square root the denominator and nominator, 36= 6 and 64= 8

2. put them together (6/8)

3. simplify 6/8

4. 6/8 divided by 2

5. 3/4 is your answer

Answer:

A. 5/72

Step-by-step explanation:

5 + 4 + 3 = 12 marbles

5/12  - the probability that the student picks a blue marble.

1/6 - the probability that 4 is on the cube

The probability that the student picks a blue marble from the bag, and then rolls a 4

5/12 * 1/6 = 5/72

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

please give more clarification

Answer:

The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

Answer:

It's B.

Step-by-step explanation:

I took the test.

Answer:

[tex]\sqrt{11i}[/tex]

Step-by-step explanation:

x^2-9+20 = 0

x^2+11 = 0

x^2 = -11

x = [tex]\sqrt{-11} \\\sqrt{11i} \\[/tex]

Answer:

720

Step-by-step explanation:

The lock requires that repetition is not allowed.

The possibles numbers are 0 - 9, that is, 10 digits.

The first number in the combination can be picked from the 10 digits.

This means that there are 10 possible choices.

The second number in the combination can now only be picked from 9 digits.

This means that there are 9 possible choices.

The third number in the combination can now only be picked from 8 digits.

This means that there are 8 possible choices.

Therefore, the number of possible outcomes in the combination is:

10 * 9 * 8 = 720 outcomes

Answer:

12x^3-9x^2

Step-by-step explanation:

[tex]3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2[/tex]

Hope this helps!

Answer:

The length of AC is 5 units. The length of AB is 3 units.

Step-by-step explanation:

Answer:

I will answer in English.

In each group, A and B, we have 24 students.

a) The number of girls in A is twice the number of boys in A.

Then, if G is the number of girls and B the number of boys.

G + B = 24

G = 2B

Now we can replace the second equation into the first one:

2B + B = 24

3B = 24

B = 24/3 = 8

G = 24 - 8 = 16

We have 16 girls in class A.

b) In B we have 4 more girls than boys, then:

G  = B + 4

G + B = 24

we can replace the first equation into the second one:

B + (B + 4) = 24

2*B = 24 - 4 = 20

B= 20/2 = 10

We have 10 boys in class B:

Answer:

Angle 2 measures 58°

Step-by-step explanation:

Sum of all three angles formed = 180

Because the sum of angles on a straight line is always 180

Angle 1 =3x-4

Angle 2 = 4x+10

Angle 3= 90° (given)

So,

90+3x-4+4x+10=180

(4x+3x)+(90+10-4)= 180

7x+96=180

Bring 96 to the other side, making it negative,

7x = 180-96 = 84

x = 12

Therefore angle 2

= 4x+10

= (4)(12)+10

=48+10

=58°

Answer:

D and B is the answer

Step-by-step explanation:

Here is a graph with the points

Answer:

D

Step-by-step explanation:

The mean is the average summing all values together and dividing by the number of values been investigated.

Hence since no values exist between 201-350 that means the mean can not be there.

Answer:

The relative frequency of the class 201 - 350 is 0.

Step-by-step explanation:

Answer:

a = -6 and b = 3√2

Step-by-step explanation:

Given the complex solution below;

x = (-24±√-288)/4

Re writing in the standard format a,+bi

x =( -24±√144×√2×√-1)/4

In complex notation, i = √-1

x = (-24±√144×√2×i)/4

x = ( -24±12×√2i)/4

x = -24/4±12√2i/4

x = -6±3√2i

Comparing the resulting complex number with a+bi

a = -6 and b = 3√2

Answer:

the mode remains the same

Step-by-step explanation:

42 is outlier.

mod is the most repetitive number of a number string, and outlier does not change it.

the mode remains the same.

Answer:

Bruno will do 45.7

Step-by-step explanation:

1- gather all info

2-subtract

3- YOURE answer