The sum of the measures of the angles shown is 81°. Which is the measure of angle y? ​

Given: Points (-6, 2) and (3, -10).

To find: The y-coordinate of the midpoint of the line segment formed by the given points.

Answer:

Let's first find out the mid-point.

Formula to find the mid-point of a line segment:

[tex]\tt \bigg(\dfrac{x_1\ +\ x_2}{2}, \dfrac{y_1\+ \ y_2}{2}\bigg)[/tex]

From the given data, we have:

[tex]\tt x_1\ =\ -6\\\\x_2\ =\ 3\\\\y_1\ =\ 2\\\\y_2\ =\ -10[/tex]

Using these in the formula,

[tex]\tt Mid-point\ =\ \bigg(\dfrac{-6\ +\ 3}{2}, \dfrac{2\ +\ -10}{2}\bigg)\\\\\\Mid-point\ =\ \bigg(\dfrac{-3}{2}, \dfrac{-8}{2}\bigg)\\\\\\Mid-point\ =\ \bigg(\dfrac{-3}{2}, -4\bigg)[/tex]

The y-coordinate of the mid-point of the line segment formed by the points (-6, 2) and (3, -10) is -4.

Hope it helps. :)

Answer:

23 roses from the fifth rose bush

Step-by-step explanation:

3 roses from the first rose bush

5 roses from the second rose bush

9 roses from the third rose bush

15 roses from the fourth rose bush

Odd numbers are 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

roses from the second rose bush = next odd number after 3

= 5

roses from the second rose bush

= 2 next odd number after 5

= 9

roses from the fourth rose bush

= 3 next odd number after 9

= 15

how many roses will Gabrielle cut from the fifth rose bush?

roses Gabrielle cut from the fifth rose bush = 4 next odd number after 15

= 23

23 roses from the fifth rose bush

Answer:

Approximately 50 square feet (50.24 to be exact)

Step-by-step explanation:

If you're using 3.14 for π, and the area of a circle is A=πr2,

(3.14)(4)^2 =?

(3.14)(16) = 50.24

Therefore the answer would be about 50 square feet.  

Answer:

25.12

Step-by-step explanation:

Answer:

It is

1/c^93

Step-by-step explanation:

Answer:

How much is her raise?

Her raise is at 0.345$

Hourly pay after raise?

Her new pay rate is 11.845$/h

Step-by-step explanation:

New hourly pay:

[tex]11.50 \times 1.03 = 11.845[/tex]

Actual raise:

[tex]11.845 - 11.50 = 0.345[/tex]

Answer:

perpendicular

Step-by-step explanation:

L1: find the slope

rise: 2 - (-5) = 7

run: -1 - (-3) = 2

m1 = 7/2

L2:

rise: 2 - 4 = -2

run: 7 - 0 = 7

m2 = -2/7

parallel means same slope m1 = m2

perpendicular means opposite reciprocal (flip and change signs)

7/2 flip and change signs = -2/7, yes thus it is perpendicular

Answer:

13 vertices. In geometry, the augmented hexagonal prism is one of the Johnson solids (J54). As the name suggests, it can be constructed by augmenting a hexagonal prism by attaching a square pyramid (J1) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a parabiaugmented hexagonal prism, a metabiaugmented hexagonal prism or a triaugmented hexagonal prism. Augmented hexagonal prism.

Type: Johnson J53 - J54 - J55

Faces: 2x2 triangles 1+2x2 squares 2 hexagons

Edges: 22

Vertices: 13

APP IT will HELP SIDJIDNUDNUD

Answer:

168

Step-by-step explanation:

Stefan sells Jin a bicycle for $150 and a helmet for $18. The total cost for Jin is 140% of what

Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How

much money did he make by selling the bicycle and helmet to Jin?

Stefan originally spent $ because you said "Stefan spent originally to buy the bike and helmet" so the answer would be 168

Given that,

∠C = (6x-21)° and ∠A = (4x+11)°

To find,

Choose the correct option.

Solution,

For a parallelogram, the opposite angles are equal. ATQ,

(6x-21)° = (4x+11)°

Taking like terms together,

6x-4x = 21 + 11

2x = 32

x = 16

∠C = (6x-21)° = 6(16) -21 = 75°

So, ∠A = 75°

So, ∠A = ∠C = 75°. Hence, the correct option is (B).

Answer:

75.5 % of all candidates passes

Step-by-step explanation:

36000 x .45 = 16200 x .7 = 11,340 girls passed

36000 x .55 = 19800 x .8 = 15,840 boys passed

total of boy and girls who passed = 27,180

27,180 out of 36,000 equals 75.5%

Answer:

Let the required side be x.

[tex] {x} = \sqrt{ { (\sqrt{2})}^{2} + {(4)}^{2} } \\ = \sqrt{2 + 16} \\ = \sqrt{18} \\ = \boxed{ 3 \sqrt{2} }[/tex]

Answer:

225

Step-by-step explanation:

X/500 = 45/100

100(x) = 45(500)

100x = 22500

X = 22500/100

Answer:

fraction- 1/4

Answer:

x^3 - 9[tex]x^{2}[/tex] + 27x - 27

Step-by-step explanation:

Answer:

Angle 1 is 105 as Z rule

Angle 2 is 75 per the angles of the straight line

Angle 3 is 90, and in turn as angles around a point, so is 4

I may be wrong...angles arent my strength, but I think its pretty accurate

Step-by-step explanation:

Answer:

4 T- shirts

Step-by-step explanation:

55- 14 = 41

41$ left and each T- shirt is 9$

count by 9s until you reach 41

9, 18, 27, 36 , 45

36 is the highest

Answer:

We conclude that

[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]

           [tex]-\frac{7}{3}=-\frac{7}{3}[/tex]

        L.H.S = R.H.S    

Step-by-step explanation:

Given the property expression

[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]

Given that:

Determining the LEFT-HAND SIDE

[tex]a\times \left(b-c\right)[/tex]

substituting a= -3/5, b= 5/9 and c= -10/3​

[tex]a\times \left(b-c\right)\:=\:\:-\frac{3}{5}\times \left(\frac{5}{9}-\left(-\frac{10}{3}\right)\right)\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

                  [tex]=-\frac{3}{5}\times \:\left(\frac{5}{9}+\frac{10}{3}\right)\:\:\:[/tex]

                  [tex]=-\frac{3}{5}\times \frac{35}{9}[/tex]

                   [tex]=-\frac{7}{3}[/tex]

Determining the RIGHT-HAND SIDE              

[tex]\:a\times \:b-a\times \:c[/tex]

substituting a= -3/5, b= 5/9 and c= -10/3​

[tex]\:a\times \:b-a\times \:c=ab-ac[/tex]

                      [tex]=-\frac{3}{5}\left(\frac{5}{9}\right)-\left(-\frac{3}{5}\right)\left(-\frac{10}{3}\right)[/tex]

                      [tex]=-\frac{3}{5}\cdot \frac{5}{9}-\frac{3}{5}\cdot \frac{10}{3}[/tex]

                      [tex]=-\frac{15}{45}-\frac{30}{15}[/tex]

                      [tex]=-\frac{1}{3}-2[/tex]

                      [tex]=\frac{-7}{3}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]

                      [tex]=-\frac{7}{3}[/tex]

Therefore, we conclude that

[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]

           [tex]-\frac{7}{3}=-\frac{7}{3}[/tex]

        L.H.S = R.H.S                                          

Answer:

2 is true

Step-by-step explanation:

SInce the angles of a triangle add up to 180 c is equal to 50 because 100+30=130 and 180-130=50

By the Converse of the Base Angles Theorem or the Isosceles Triangle theorem if 2 angles of a triangle are congruent then the sides opposite are also congruent. By the definition of an isosceles triangle if a triangle has 2 equal sides it is isosceles.

Answer:

It is the second one

Step-by-step explanation:

Answer:

New members pay each month = $18 per month

Step-by-step explanation:

Given:

Total rental membership = $231

Advance registration fee = $15

Find:

New members pay each month

Computation:

Number of month in year = 12

Fee after registration = $231 - 15$

Fee after registration = $216

New members pay each month = Fee after registration / Number of month in year

New members pay each month = 216 / 12

New members pay each month = $18 per month

Answer:

Step-by-step explanation:

UR MOM

Answer:

4 11/12 feet tall

Answer:

12.8 and 20

Step-by-step explanation:

y=3.6x+2   [x=3 and x=5]

y=3.6(3)+2 = 10.8 + 2 = 12.8

y=3.6(5)+2 = 18 + 2 = 20

Answer:

2037.89

Step-by-step explanation:

The area of a circle is πr²

This means that the area of the pizza is π*17.5^2

This means that the area =962.11275016187

We then need to find the area of a rectangle which is shown throuhg lenght*width

50*60=3000

We then need to find out the area of the box excluding the pizza so we subtract the area of a pizza

so we have

3000-962.11275016187=2,037.88724983813

Round and get 2037.89

Answer:

Bear with me here

Step-by-step explanation:

I don't actually know how to solve this, I have geometry later this year. I just hope to be able to set it up for you.

Ok, so BE and CE are perpendicular. This means that they make a 90 degree angle. we can write in the boxes to signify if you want. We also know that the angles CDE and DCE have the same angle. I don't know how to put this is math terms, but that means that ADE and BCE have to be the same as well. If x(the angle of ADE and BCE)is the same, then CDA must be x + (mystery angle). if ADE and BCE are the same, and a triangle's angles add up to 180, then DAE and EBC must be the same as well. Not sure if this actually helps, I'm not able to give a straight answer but it's the best I can do with what I know.

Answer:

144 meters.

Step-by-step explanation:

If he starts the first 4 hours at 15 meters per hour, he will have traveled 60 meters. If he does the rest of the 7 at 12 meters per hour, he will have traveled another 84 meters. If you add them together you get a total journey of 144 meters.

Answer:

1. UW // TX

2. VX // UY

3. UW ≅ TY ≅ YX

4. YW = [tex]\frac{1}{2}[/tex] TV

5. TX = 2 UW

6. ∠TXV ≅∠WUY

Step-by-step explanation:

The line segment joining the midpoint of two sides of a triangle is parallel to the third side and equal to half its length

In Δ XVT

∵ U is the midpoint of VT

∵ W is the midpoint of VX

∵ XT is the 3rd side of the triangle

→ By using the rule above

∴ UW // TX ⇒ (1)

∴ UW = [tex]\frac{1}{2}[/tex] TX

→ Multiply both sides by 2

∴ 2 UW = TX

∴ TX = 2 UW ⇒ (5)

∵ Y is the midpoint of TX

∴ TY = YX = [tex]\frac{1}{2}[/tex] TX

∵ UW = [tex]\frac{1}{2}[/tex] TX

∴ UW ≅ TY ≅ YX ⇒ (3)

∵ U is the midpoint of VT

∵ Y is the midpoint of XT

∵ VX is the 3rd side of the triangle

→ By using the rule above

∴ UY // VX

∴ VX // UY ⇒ (2)

∴ UY = [tex]\frac{1}{2}[/tex] VX

∵ W is the midpoint of VX

∵ Y is the midpoint of XT

∵ TV is the 3rd side of the triangle

→ By using the rule above

∴ YW // TV

∴ YW = [tex]\frac{1}{2}[/tex] TV ⇒ (4)

∵ 2 Δs UYW and XVT

∵ UY = [tex]\frac{1}{2}[/tex] XV

∵ YW = [tex]\frac{1}{2}[/tex] VT

∵ WU = [tex]\frac{1}{2}[/tex] TX

∴ [tex]\frac{UY}{XV}[/tex] = [tex]\frac{UW}{VT}[/tex] = [tex]\frac{WU}{TX}[/tex] = [tex]\frac{1}{2}[/tex]

→ By using the SSS postulate of similarity

∴ ∠TXV ≅∠WUY ⇒ (6)

9514 1404 393

Answer:

  3

Step-by-step explanation:

Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are not adjacent).

The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.

Answer:

your awnser is 3 3/5

Step-by-step explanation:

all u do is 18 divided by 5 wich gives u 3 with a leftover of 3 so that gives u 3 3/5

Answer:

3 3/5

Step-by-step explanation:

You count by 5 until it wont fit in to 18 what you have left over ( 3 ) is your numerater. However many times 5 went into 18 Is your whole number.