Solve the system of linear equations by elimination. Check your solution.
3x - 4y = 17
7x - 4y = 13​

The additional statement that would allow us to prove that the sum of the interior angle measures in triangle ABC is 180 degrees is this: B. Line l parallel to AB only.

The right statement that would allow us to prove that the sum of the interior angle measures in triangle ABC is 180 degrees is the expression that shows that line 1 is only parallel to AB.

This answer can be arrived at by summing up all of the angles and equating them to 180 degrees.

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Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

-8m+24-32n

Step-by-step explanation:

-8 times m is -8m

-8 times -3 is 24

-8 times 4 is -32

put it together, you have -8m+24-32n

Answer:

6 and 15

Step-by-step explanation:

n1 + n2 = 21

2(n1) + 3 = n2

n1 = 6

n2 = 15

6 + 15 = 21

The solution to the system of linear equation x + y = 4 and x - y = 6 is (5, -1).

x + y = 4

x - y = 6

Therefore, let's add the equations.

2x = 10

divide both sides by 2

x = 10 / 2

x = 5

Let's find the value of y

Therefore,

x + y = 4

5 + y = 4

y = 4 - 5

y = - 1

Therefore, the solution of the system of equation is (5, -1)

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If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Then the torque will also be zero.

The torque that may cause an item to revolve along an axis is measured as torque. The axis of rotation is the point at which the item rotates.

A rectangular coil of wire, 22.0cm by 35.0cm and carrying a current of 1.95 Ampere, is oriented with the plane of its loop perpendicular to a uniform 1.50 Tesla magnetic field.

Then the torque that the magnetic field exerts on the coil will be

The torque is given as

[tex]\rm \tau = I \overrightarrow{A} \times \overrightarrow{B}[/tex]

The strength of magnetic torque on the current-carrying circle is given by θ: if θ is the angle between A and B. Then we have

[tex]\rm \tau = I AB \sin \theta[/tex]

When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.

Then θ = 0

Then we have

[tex]\rm \tau = I AB \sin 0\\\\\tau = 0[/tex]

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Answer: i am 90% sure its 75 milligrams (mg) a day for women and 90 mg a day for men.Step-by-step

explanation: i hope this helps

Answer:

2c+12

Step-by-step explanation:

I aced maths class

By using the Pythagorean identity the value of tan [tex]\theta[/tex] will be ∞.

tan [tex]\theta[/tex] = ∞.

Pythagorean identities are identities in trigonometry that are extensions of the Pythagorean theorem. The fundamental identity states that for any angle [tex]\theta[/tex],

[tex]sin \; ^{2} \theta + cos \; ^{2} \theta =1[/tex]

By Pythagorean Identity we have,

we have, [tex]sin \theta \; = \; -1[/tex]

So, [tex](-1)^{2} \; + \; cos^{2}\; \theta =\; 1[/tex]

[tex]\; cos^{2}\; \theta =\; 1 - \; 1[/tex]

[tex]cos^{2}\; \theta =0[/tex]

[tex]cos\; \theta =0[/tex]

Now, we know that

[tex]tan \; \theta= \frac{sin\; \theta}{cos\; \theta}[/tex]

        =  [tex]\frac{-1}{0}[/tex]

  [tex]tan \; \theta=[/tex] ∞....................... (1)

Again, tan [tex]90^{0}[/tex] = ∞

If we compare from equation (1), we have

[tex]\theta = 90^{0}[/tex]

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Answer:

1.) The power in repeated multiplication form is: -8 × -8

     -----> Since -8 is raised to the power of 2, it means that there should be two -8's being multiplied together.

2.) The value of the power is: 64

   -----> Remember, a negative number times a negative number is equal to a positive number. Therefore, -8 × -8 = 64.

Answer:

34 m²

Step-by-step explanation:

Given,

Height ( h ) = 17 m

Base Area ( A ) = 6 m²

To find : Volume of Pyramid

Formula : -

Volume of Pyramid = Ah / 3

Volume of Pyramid

= 17 x 6 / 3

= 17 x 2

= 34 m²

Hence,

The Volume of pyramid is 34 m².

Answer:

64x^2-9........

Step-by-step explanation:

(8x+3(8x-3)

The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given that mean is 83%, standard deviation = 4.2%, for x = 81.8:

z = (81.8 - 83)/4.2 = -0.29

The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

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Answer: 16.8

Step-by-step explanation:

2:25 = X:210

210/25 = 8.4

Multiply 8.4 by 2

Answer:

I cannot see number 5 question there are many question please clarify

The figure is an illustration of the relationship between the angles in a circle and arc

From the figure, the arc PQ is subtended by the angle PAQ.

This means that:

PQ = ∠PAQ

Given that ∠PAQ = 130, it means that:

Arc PQ = 130

The measure of PSQ is then calculated using:

∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.

This gives

∠PSQ = 0.5 * 130

∠PSQ = 65

Hence, the measure of ∠PSQ is 65 degrees

A semicircle measures 180 degrees.

This means that:

QR + PQ = 180

So, we have:

QR = 180 - PQ

Substitute 130 for PQ

QR = 180 - 130

QR = 50

Hence, the measure of QR is 50 degrees

The measure of arc RS is then calculated using:

∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.

Where ∠RPS = 35

So, we have:

35 = 0.5 * Arc RS

Multiply both sides by 2

Arc RS = 70

Hence, the measure of RS is 70 degrees

In (a), we have:

∠PSQ = 65

This means that:

∠PSQ = ∠PSB = 65

So, we have:

∠PSB = 65

Next, calculate SBP using:

∠SBP + ∠BPS + ∠PSB = 180 ---- sum of angles in a triangle.

So, we have:

∠SBP + 35 + 65 = 180

∠SBP + 100 = 180

This gives

∠SBP = 80

The measure of AQS is then calculated using:

AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)

This gives

AQS = 180 - (180 - 80) - (180 - 130)

Evaluate

AQS = 30

Hence, the measure of AQS is 30 degrees

A semicircle measures 180 degrees.

This means that:

PS + RS = 180

This gives

PS = 180 - RS

Where RS = 70

So, we have:

PS = 180 - 70

Evaluate

PS = 110

Hence, the measure of arc PS is 110 degrees

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Answer:

What is the Value of Cot 75 Degrees in Terms of Tan 75°? Since the cotangent function is the reciprocal of the tangent function, we can write cot 75° as 1/tan(75°). The value of tan 75° is equal to 2 + √3.

Answer:

127,654

Place: hundreds, Value: 600

786,540

Place: Hundred thousands, Value: 700,000

45,902

Place: ten thousands, Value: 40,000

Hope this helps!

(a) Check the graph given below.

(b) 9 is located to the right of -6

(c) complete the statement: 9 > -6

Answer:

50 cents ($0.50)

Step-by-step explanation:

We need to find the price for one orange. To get one orange, you have to divide 6 by 6. Anything you do to one side of the equation must be done to the other side. You have to divide 3 by 6. If you do this, you get .5, or 1/2. In money, that translates to 50 cents.

Hope this helps!

Step-by-step explanation:

the price of one orange is indeed 3/6 = 1/2 = $0.50.

the equation residential the price for any number of oranges contains then a variable, say x, to stand for the number of purchased oranges :

p(x) = 0.5x

meaning that the price of x oranges is 0.5×x.

Answer: Draw 41 circles and then divide them among her five friends.

Step-by-step explanation:

Step-by-step explanation:

The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?

Original: y = √(x)

Reflected in the y-axis: y = √(-x)

Horizontally stretched by a factor of 2: y = √(-x/2)

Shifted 3 units up: y = 3 + √(-x/2)

And 1 unit left: y = 3 + √(-(x+1)/2)

The equation of the transformed function is y = (-5x)³.

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of modifying a shape's size or position.

we have, Function

y = x³

Scale factor = 1/5

Now, stretch the function horizontally by factor 1/5 then

y = (5x)³

Now, reflection of graph about y axis result change x to -x.

y = (-5x)³

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Answer:

see below

Step-by-step explanation:

5t+9t and 14t

Becuase the two numbers have the same variable, you can add them together. The exponents do not change.

5+9=14

5t+9t= 14t

Answer:

5t +9t is equivalent to 14t

5t -9v is not equivalent to 9v-5t

5(9t-5) is not equivalent to 45t-5 because 5(9t-5) is 45t-25

t +t + t +v is not equivalent to 4tv

Answer:

Bisect means to divide it into two, so you can draw a line such that both resulting sides are 45 degrees.

Answer:

1,017.36

Step-by-step explanation:

To find the volume of a cylinder, you need to figure out the radius and height.

We've already been given the height, which is 9 meters.

Now let's find the radius.

To find the radius you have to divide the diameter by 2, which means 12/2, which is 6.

Now let's plug it into the formula:  [tex]V = \pi r^{2} h[/tex]

So, 3.14 x [tex]6^{2}[/tex] x 9.

Solve the exponent, giving us 36.

3.14 x 36 x 9 = the volume.

Meaning, V = 1,017.36

Hope this helped, this is my first time answering a question.

Answer: y=3x-8

Step-by-step explanation:

           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

          What is the equation of the line in slope intercept form if its slope is 8 and its y-intercept is -3?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

y=8x-3

[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

Slope Intercept form, as the name implies, has slope & intercept in its equation.

It looks like y=mx+b, where "m" is the slope and "b" is the y-intercept.

To determine the equation of the line, we need to write the value of m, which in this case is 8, in lieu of m:-

y=8x+b

Same with the y-intercept:-

[tex]\tt{y=8x+(-3)}[/tex]

Which simplifies to

[tex]\tt{y=8x-3}[/tex]

               - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

12345.6

Step-by-step explanation:

when dividing by 10, just move the decimal point one time to the left. 123456 is changed to 12345.6

Answer:

Just plot the points, then connect. It's very easy. Try it yourself.

Answer:

9.1

Step-by-step explanation:

9.1 times 5.2 = 47.32

47.32 divided by 2 = 23.66

The length of the base of the triangle is, 9.1 inches

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The area of the triangle below is 23.66 square inches.

And, The height = 5.2 inches

We know that;

Area of triangle = 1/2 × Base × Height

Substitute all the values we get;

⇒ 23.66 = 1/2 × Base × 5.2

⇒ 23.66 = Base × 2.6

⇒ Base = 23.66 / 2.6

⇒ Base = 9.1 inches

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