Consider that x = −5 and y = −4. Which statement is true about x + y?

Question 17 options:

The sum of x and y is a rational number.


The sum of x and y is an imaginary number.


The sum of x and y is an irrational number.


The sum of x and y is neither rational nor irrational.

Answer:

[tex]\angle BPC=100^{\circ}[/tex]

Step-by-step explanation:

Assuming P is the center of the circle:

The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]

Answer:

that is you ni report kits

Answer:

Slope = -7/8

Y-intercept = (0, 1)

Step-by-step explanation:

Answer:

[tex]slope = - \frac{7}{8} [/tex]

y- intercept= 1

Step-by-step explanation:

Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.

7x +8y= 8

8y= -7x +8

Divide by 8 on both sides:

[tex]y = - \frac{7}{8} x + 1[/tex]

Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.

Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.

7x +8y= 8

When x= 0,

7(0) +8y= 8

8y= 8

y= 8 ÷8

y= 1

Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).

Note: slope and gradient have the same meaning and can be used interchangeably

Answer:

one unique solution

Step-by-step explanation:

one unique solution => (-1, 2)

Answer:

B

Step-by-step explanation:

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex]        [Angle sum property]

[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]

[tex]m\angle P+116^\circ=180^\circ[/tex]

[tex]m\angle P=180^\circ -116^\circ[/tex]

[tex]m\angle P=64^\circ[/tex]

According to Law of Sines, we get

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using the Law of Sines, we get

[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]

[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]

Substituting the given values, we get

[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]

[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]

[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]

[tex]2.38989=PQ[/tex]

Approximate the value to the nearest tenth of a foot.

[tex]PQ\approx 2.4[/tex]

Therefore, the length of PQ is 2.4 ft.

Answer:

1164.01

Step-by-step explanation:

First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.

Answer:

301

Step-by-step explanation:

3 + 0 + 1 = 4

301 / 7 = 43

301 / 2 = 105.5

Answer:

301

Step-by-step explanation:

301 divided by 7 = 43

301 is not divisible by 2

3 + 1 + 0 = 4

Hope this helps :)

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

Since there are 432 tickets total and Gabriela bought 48, the chances of Gabriela not winning the grand prize is equal to the chance of any of the tickets she did not buy getting drawn. If she bought 48, then she did not buy 432-48=384 tickets. The chances of any of these being drawn is:

[tex]\frac{384}{432}=\boxed{\frac{8}{9}}[/tex]

Answer:

A  perpendicular

B bisect each other  

D. congruent

Step-by-step explanation:

Given

Attached quadrilateral

Required

Relationship between EG and DF

First, we have that: DEFG is a square

EG and DF are diagonals

Using the property of diagonals of a square, we have:

EG and DF to be perpendicular

EG and DF to be congruent

EG and DF to be bisect each other

Answer:

try searching it

Step-by-step explanation:

Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.

14:30 describes her class in terms of number of girls to total number of students

Answer:

D. 2/3 per year.

Step-by-step explanation:

3 1

3

÷ 5

=  

10

3

÷ 5

=  

10

3

×  

1

5

=  

10 × 1

3 × 5

=  

10

15

=  

10 ÷ 5

15 ÷ 5

=  

2

3

Answer:

Step-by-step explanation:

question 1a) hey, so it would look like this for example:

question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)

tell me if u have any questions

Answer: A. 0.01

Step-by-step explanation:

Type I error are refered to as false positives and it means that when a statistically significant difference is validated by the researcher even though the results aren't statistically significant.

Type I error is when one rejects the null hypothesis even though it's actually true. In this case, the inspector rejects the hypothesis which was that the proportion of water that is contained the product is 0.5.

The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.

Answer:

72 cm ze wszystkich stron

Step-by-step explanation:

promień jest równy bokom kształtu.

Given:

Measure of arc CG is 125 degrees.

The measure of angle CDG is 85 degrees.

To find:

The measure of arc EF.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]

Let x degrees be the measure of arc EF.

Substituting the given values, we get

[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]

[tex]2\times 85^\circ=125^\circ+x[/tex]

[tex]170^\circ -125^\circ=x[/tex]

[tex]45^\circ=x[/tex]

Therefore, the measure of arc EF is [tex]45^\circ[/tex].

Answer:

It is 65 cm

Step-by-step explanation:

Alright, within the image, the triangles ABC and TUV are congruent. With this, the following is true: AB ≅ TU, BC ≅ UV, and CA ≅ VT because the order and their sides between the two triangles is shared.

With this, BC is ≅ to UV. Now, just set the two equations equal to each other:

9x+2=8x+9

9x=8x+7

x=7

Now, we've got x, though it needs to be plugged back into side BC for the final answer

9(7)+2

63+2

65 cm

Answer:

Which table?

There's non

Answer:

Trinomial

[tex]m^2 - 13m + \frac{169}{4}[/tex]

Binomial squared

[tex](m - \frac{13}{2})^2[/tex]

Step-by-step explanation:

Given

[tex]m^2-13m[/tex]

Required

Make a perfect trinomial

We have:

[tex]m^2-13m =[/tex]

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

Take the coefficient of m i.e. -13

Divide by 2 i.e. -13/2

Square i.e. (-13/2)

Add to both sides of the equation

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

[tex]m^2-13m =[/tex] becomes

[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]

[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]

Expand

[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]

Factorize:

[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Factor out m - 13/2

[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Write as square

[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]

Hence, the trinomial is:

[tex]m^2 - 13m + \frac{169}{4}[/tex]

And the binomial squared is:

[tex](m - \frac{13}{2})^2[/tex]

Answer:

0.62 im 99% sure

Step-by-step explanation:

Answer:

0.62

Step-by-step explanation:

Answer:

334

Step-by-step explanation:

Answer:

293 seconds

Step-by-step explanation:

60*4=240

240+53=293

9514 1404 393

Answer:

  10 1/16 cm

Step-by-step explanation:

The Pythagorean theorem can be used.

  (8 +x)² = x² +15²

  64 +16x +x² = x² +225

  16x = 161

  x = 161/16 = 10 1/16 = 10.0625 . . . cm

Answer:

x=-5

Step-by-step explanation:

i just solved the problem

Answer:

=5±√23

Step-by-step explanation:

        -10+2√23

= -------------

               -2

         -10-2 √23

= -------------

                -2

Answer: Option C

l = (P - 2b)/2

Step-by-step explanation:

From P = 2(l + b)

Divide both sides by 2;

P/2 = 2(l + b)/2

P/2 = l + b

l + b = P/2

Make l the subject of formula;

l = (P/2) - b

l = (P - 2b)/2

d

.........................