Solve the equations 2x + 2 = x + 9

Answer: (6, -6)

Step-by-step explanation:

so midpoint =([tex]\frac{X1+X2}{2}[/tex],[tex]\frac{Y1+Y2}{2}[/tex])

for x co ordinate

[tex]\frac{-2+X2}{2}[/tex]=2

-2+X=4            (X2=x co ordinate point for b, can be written as just x now)

X=6

x co ordinate of B= 6

y co ordinates of y

[tex]\frac{-8+Y2}{2}[/tex]=-7

-8+Y=-14

Y=-6

co ordinates B (6,-6)

for proof/extra explanation (NOT necessary for working):

[tex]\frac{Y1+Y2}{2}[/tex]

=[tex]\frac{(-2)+6, (-8)+(-6)}{2}[/tex]

=[tex]\frac{4, -14}{2}[/tex]

=(2,-7)

which is the midpoint M

Answer:

1. Gram

2. Kilogram

3. Millilitre

4. Hour

5. Minute

6. Feet

7. Radian

Explanation :

1.Gram

Because - For small quantity, the most reasonable unit is gram.

2.Kilogram  

Because - For large quantity , the most appropriate unit is kilogram.

3. Millilitre  

Because - For small volume , the most appropriate unit is millilitre.

4.Hour

Because - For large amount of time , the most appropriate unit is hour.

5.Minute

Because - For small amount of time , the most appropriate unit is minute.

6.Feet  

Because - For large height , the most appropriate unit is feet.

7.Radian

Because - For angle , the most appropriate unit is degree or Radian

Answer:

that my answer

Step-by-step explanation:

hope it helps

Answer:

The solution of the equation [tex]3 + x = 11[/tex] is [tex]x = 8[/tex].

Step-by-step explanation:

Let [tex]3 + x = 11[/tex], we see that number of equation and variables are both the same and can be solved by algebraic means.

1) [tex]3 + x = 11[/tex] Given

2) [tex]x + 3 = 11[/tex] Commutative property

3) [tex]x + [3+(-3)] = 11 + (-3)[/tex] Compatibility with addition/Associative property

4) [tex]x = 8[/tex] Additive inverse/Modulative property/Definition of substraction/Result

The solution of the equation [tex]3 + x = 11[/tex] is [tex]x = 8[/tex].

you can draw it on a graph like the one i did

then name the sides

and then measure them and make sure that parallel sides are equal

a must be = c and have same slope

and

b must be = d and have same slope

after doing that, you will know that this is a correct parallelogram

Answer:

x= -3

y = 13/11

whole thing solved:

(-3, 13/11)

x=-3,y=-13/11

Answer:

6.5

Step-by-step explanation:

Hope I helped!

Answer:

pretty sure it's 35.87 kilometers

Answer:

Step-by-step explanation:

3(x+2) -10 = 4x + 6 +x

3x +6 -10 = 5x+6

-10 = 2x

x = -5

One solution

Answer:

₱ 550.25

Step-by-step explanation:

₱ 35.50 * 15.5 weeks = ₱ 550.25

Answer:

180

Step-by-step explanation:

That's the answer.

.

Answer:

[tex]\boxed {\boxed {\sf (5g^2+2)(2g-5)}}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]10g^3-25g^2+4g-10[/tex]

There are no common factors between the four numbers, however the first two have a common factor and the last two do too. Therefore, we can factor by grouping.

Group the first two terms and the last two.

[tex](10g^3-25g^2)+(4g-10)[/tex]

Find the greatest common factor (GCF) of the first group. It is 5g². Factor it out of the first group. You can do this by dividing both terms by the GCF.

[tex]5g^2 (2g-5) + (4g-10)[/tex]

Repeat with the second group. The GCF is 2.

[tex]5g^2 (2g-5) + 2(2g-5)[/tex]

There is another GCF: 2g-5. We can factor this out of both terms.

[tex](5g^2+2)(2g-5)[/tex]

This cannot be factored further, so it is the answer.

Answer:

1.6

Step-by-step explanation:

Find the number in the tenth place

6

and look one place to the right for the rounding digit

2

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

1.6

Answer:

Step-by-step explanation:

p:c=10:14

p/c=10/14

p/7=10/14

p=7(10)/14

p=5

Answer:

5 plates

Step-by-step explanation:

First, make two fraction bars, one with the ratio 10/14 the other with the top blank and 7 on the bottom. Next, find how much to multiply 7 by to get 14. Use the number you get to divide 10 by. Then you should get 5. Hope this helped!

Answer:

Matulog ka nalang..

Step-by-step explanation:

Hope it helps

hope it helps ..

please mark me as brainliest .. if u found it helpful

Answer:

Step-by-step explanation:

you just add it

Answer:

50

Step-by-step explanation:

20+20=40

5+5=10

40+10=50

Answer: P=50

Step-by-step explanation: 20 m = length and 5 m = width

Solution:

P=2(l+w)=2·(20+5)=50

So the perimeter is 50

Answer:

40 degrees

Step-by-step explanation:

the angles of a triangle add up to 180 degrees,

180 = x + 85 + 55

180 = x + 140

40 = x

Answer: Increasing her speed  by 5km/h, she will take 4.5 hours to complete the journey.

Step-by-step explanation:

Step 1

Speed= Distance  / TIme

Given Speed = 45km/h

and Time = 5 hours

Distance covered = Speed x Time

= 45 km/h x 5 hours

=225 kilometres.

Step 2

Increasing her speed by 5km/h makes the new Speed = 45 +5 = 50 km/h

At the same Distance of 225 km

Therefore she will complete the journey in

Time = Distance/ Speed

=225km/ 50km/h

=4.5 hours

Answer:

The two column proof is presented as follows;

Statement                   [tex]{}[/tex]                  Reason

1. Parallelogram SUPN [tex]\overline {SR}[/tex]⊥ [tex]\overline {UN}[/tex] [tex]{}[/tex]   1. Given

and [tex]\overline {MP}[/tex]⊥ [tex]\overline {UN}[/tex]

2. ∠SRU = ∠PMN = 90°   [tex]{}[/tex]                 2. Definition of perpendicular lines

3. ∠SRU ≅ ∠PMN            [tex]{}[/tex]                 2. Definition of congruency

4. [tex]\overline {UP}[/tex] ║ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]                4. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                               congruent

5. ∠SNR ≅ ∠PUM             [tex]{}[/tex]               5. Alternate interior angles are congruent

6. [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]               6. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                              congruent

7. ΔPMU ≅ ΔSRN                 [tex]{}[/tex]           7. By AAS rule of congruency

By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex])  of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation:

Answer: 43 + x = 90

Step-by-step explanation:

43 + x = 90

x = 90-43

x = 47

Answer:

5

Step-by-step explanation:

angle 1 = 180-110 = 70 degrees (linnear pair)

angle 2= 180-115 = 65 degrees (linnear pair)

angle 3 = angle 2 = 65 degrees (corresponding angles)

angle 4= 180 - angle 3 = 180-65 = 115 degrees (linnear pair)

(your teacher might not like this, depends on the cituation, but use 180 degrees in triangle to get 7)

angle 7 = 180 -angle1 -angle 2= 180-70-65= 45 degrees

angle 6 = angle 7 = 45 degrees ( vertical angles)

angle 8= 180- angle 7= 180-45 = 135 ( linnear pair)

angle 9 =angle 6 = 45 degrees (corresponding angles)

angle 5=angle 9=45 degrees (vertical angles)

Answer:

your slope should be 7/10

Step-by-step explanation:

Answer:

to find the intercepts, look for the point where the axes and the line intersect.

x-intercept: (3.5,0)

y-intercept: (0,2.5)

Answer:17

Step-by-step explanation:

20-3=17

Answer:

there are 4 times larger

Step-by-step explanation: 11 x 4 = 44 so its 4 times larger

Answer:

990 cm²

Step-by-step explanation:

Given ratio of radii = a : b , then

ratio of areas = a² : b²

Here

ratio of radii = 50 : 30 = 5 : 3 , then

ratio of areas = 5² : 3² = 25 : 9

let x be the area of sector DEF , then using proportion

[tex]\frac{25}{2750}[/tex] = [tex]\frac{9}{x}[/tex] ← [tex]\frac{ratio}{area}[/tex]

cross- multiply

25x = 24750 ( divide both sides by 25 )

x = 990

Area of sector DEF = 990 cm²

Answer:

f= −5

Step-by-step explanation:

Answer:

y=-2/3x+-2

Step-by-step explanation:

y=MX+b

b=-2

m=-2/3