A line segment (DE) joining the midpoints of two sides of a triangle is
parallel
to the third sid

Answer:

y = -1x - 6

Step-by-step explanation:

Hi!

The format of the equation of a line is y = mx + b

m is the slope and b is the y-intercept

We just need to substitute in the values you gave for the variables and we get the answer,

Answer:

Simplifying means making (something) simpler or easier to do or understand.

Simplification in math is the process of replacing a mathematical expression by resolving it or making it shorter.

Step-by-step explanation:

hope it will help :)

Answer:

7^-3+5 (5 goes up and becomes+5)

so ans is 7^2

Answer:

[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = {7}^{ - 3 + 5} = {7}^{2} [/tex]

Answer:

5.25 miles

Step-by-step explanation:

Total distance = 7 miles

Distance she rode before lunch = 3/4 of the total distance

=> 3/4 of 7

=> 21/4

=> 5.25 miles

So, she drove 5.25 miles before lunch.

Answer:

[tex]\Large \boxed{\mathrm{D) \ \triangle ABC \sim \triangle FHG }}[/tex]

Step-by-step explanation:

The two triangles are similar.

The corresponding sides are proportional.

AB ∼ FH

[tex]\displaystyle \frac{72}{12} =6[/tex]

AC ∼ FG

[tex]\displaystyle \frac{48}{8} =6[/tex]

BC ∼ GH

[tex]\displaystyle \frac{84}{14} =6[/tex]

Answer:

= 2i / 5

Step-by-step explanation:

4 / 10 i

= 2² / (2 * 5) i

= 2i / 5

Answer:

2i / 5 is the answer.

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, [tex] a*b = x*y [/tex]

Thus:

[tex] 8*5 = 4*(6m - 2) [/tex]

Solve for m

[tex] 40 = 24m - 8 [/tex]

[tex] 40 + 8 = 24m - 8 + 8 [/tex]

[tex] 48 = 24m [/tex]

[tex] \frac{48}{24} = \frac{24m}{24} [/tex]

[tex] 2 = m [/tex]

The value of m = 2

Answer:

7

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

(-4,0)

Step-by-step explanation:

Hello, we need to find the points so that f(x)=0 as this is the intersection between y = f(x) and y = 0.

[tex](x+4)^2=0<=> x+4=0<=> x =-4[/tex]

Thank you

Answer:

............... 3 6/8

Answer:

-4x=20

x=20/-4

x=-5

maybe not sure

Answer:  8/13

Step-by-step explanation:

There are 52 cards in a deck.

26 cards are black -->  P(Black) = 26/52

Face cards are J, Q, K.  There are 12 face cards -->  P(Face) = 12/52

6 Face cards are black --> P(both) = 6/52

Face card     or      Black card     -    both Face card & Black

      [tex]\dfrac{26}{52}[/tex]             +            [tex]\dfrac{12}{52}[/tex]            -            [tex]\dfrac{6}{52}[/tex]                             [tex]=\dfrac{32}{52}[/tex]

[tex]\dfrac{32}{52}\div \dfrac{4}{4}=\dfrac{8}{13}[/tex]

Answer:

72.2 is the correct answer

Step-by-step explanation:

A rational number can be made by dividing two integers.

An irrational number cannot be made by dividing two integers.

1.3 is rational

36 is rational

2/3 is rational

Pi is not rational

☺ Hi ☺

Find the value of 4!.

• Let's find the value of 4! :

[tex]4! = 4 × 3 × 2 × 1 = {24}[/tex]

Option d for question 4 should be:

d.)Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=8

Answer:

1. (b)  a^2+b^2=c^2

3. (a) 5

4. (d) Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=8

Step-by-step explanation:

(1) From Pythagoras' theorem, the square of the hypotenuse side of a given right-angled triangle, is equal to the sum of the squares of the other two sides. Now, if the other two sides are a and b, and the hypotenuse is c, then using this theorem, the following holds:

c² = a² + b²

(2) The distance D, between two points (a, b) and (c, d) is given by;

D = √(a-c)² + (b-d)²        ----------------(i)

From the question, the points given are (9, -7) and (5, -4):

This means that;

a = 9

b = -7

c = 5

d = -4

Substitute these values into equation (i) and get;

D = √(9-5)² + (-7- (-4))²

D = √(4)² + (-3)²

D = √16 + 9

D = √25

D = 5

Therefore, the distance between these points is 5 units

(4) As explained in question 3 above, Maria is not correct. To find the distance between two points, we use the relation shown in the answer to question 3 above. i.e

D = √(a-c)² + (b-d)²

Since the given points are (17, 3) and (17, -5), it implies that;

a = 17

b = 3

c = 17

d = -5

D = √(17-17)² + (3-(-5))²

D = √(0)² + (8)²

D = √8²

D = 8

Answer:

  9^18

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

__

  [tex](9^3)^6=9^{3\cdot 6}=\boxed{9^{18}}[/tex]

Answer: 0.4419

Step-by-step explanation:

Given: The birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7.

i.e. [tex]\mu=6.8\ \ \ \text{ and }\sigma= 1.7[/tex]

Let X denotes the birth weight.

Then, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is given by :-

[tex]P(6<X<8)=P(\dfrac{6-6.8}{1.7}<\dfrac{X-\mu}{\sigma}<\dfrac{8-6.8}{1.7})\\\\=P(-0.47<Z<0.71)\ \ \ [Z=\dfrac{X-\mu}{\sigma}] \\\\=P(Z<0.71)-(1-P(Z-0.47))\\\\=0.7611-(1-0.6808)\ \ \ [\text{By z-table}]\\\\= 0.4419[/tex]

Hence, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is 0.4419 .

Answer:

the radius is halfway across the circle, while diameter is all the way across. for reference, a three mile radius would be equivalent to 52.8 football fields

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]a.\\sin \theta =\frac{12}{13}\\\theta=sin ^{-1}(\frac{12}{13}) \approx 67^\circ\\b.\\cos75=\frac{x}{13}\\x=13 cos ~75 \approx 7.5 ~ft[/tex]

it forms a right angled triangle.

ladder=hypotenuse.

side of house=perpendicular.

from the base of house to the foot of ladder on the ground=base

Answer:

(a) The new angle the ladder makes with the ground = 32.66°

(b) The distance the ladder slipped back on the ground from it's original position = 5 m

Step-by-step explanation:

The given parameters are;

The length of the ladder = 10 m

Angle of inclination of the ladder = 70°

Length to which the ladder slips down the wall = 4 m

(a) The height of the wall adjacent to the ladder = 10×sin(70°) ≈ 9.4 m

The new height of the wall adjacent to the ladder after the ladder slips down 4 m = 9.4 - 4 = 5.4 m

Therefore, the new angle of inclination of the ladder = sin⁻¹(5.4/10) = 32.66°

The new angle the ladder makes with the ground = 32.66°

(b) The distance the ladder slipped back on the ground from its original position is found as follows

The initial distance of the base of the ladder from the wall  = 10 × cos(70°) = 3.42 m

The distance of the base of the ladder from the wall after slipping 4 m down the wall = 10 × cos(32.66°)  ≈ 8.42 m.

Therefore, the amount by which the ladder slip back on the ground from its original position = 8.42 - 3.42 = 5 m.

The distance the ladder slipped back on the ground from it's original position = 5 m.

Answer:

  the point is on the line

Step-by-step explanation:

The ordered pair gives the values of (x, y). Put those values in the equation and see if it is true:

  y = 4x -3

  17 = 4(5) -3 = 20 -3 . . . . . . for (x, y) = (5, 17)

  17 = 17 . . . . true, the point is on the line

Answer:

Compared to the first cube, the total surface are of the second cube is 16 times larger.

Step-by-step explanation:

The first cube has L*L*6=6L²

The second cube has 4L*4L*6=14L²*6=84L²

Compared to the first cube, the total surface are of the second cube is 16 times larger.  (6*16=84)

Answer:

A

Step-by-step explanation:

330 m/s=330×60 m/min=19800/1000 km/min=198 km/min=1.98×10^1 km/min

GIVEN:

TO FIND:

ANSWER:

Firstly let us assume ,

Now the equⁿ s becomes ,

=> p - q = 4 . ........(1)

Also , given that:

=> 1/x² - 1/y² = 3/16.

=> p² - q² = 3/16.

=> (p+q)(p-q) = 3/16.

From (1),

=> 4 (p+q) = 13/16.

=> (p+q) = 13/16 × 1/4.

=> p+ q = 13/64.

On adding (1) and (2) ,

=> 2p = 4 + 13/64.

=> 2p = 256+13/64.

=> p = 269/64 × 1/2.

=> p = 269/128.

Now lets find q ,

=> q = 13/64 - 269/128.

=> q = 26-269/128.

=> q = -243/128.

Hence

.°. x = 128/269 , y = -128/243

Answer:

x = 25°

Step-by-step explanation:

The secant- secant angle DGB is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] ( BD - FE) = 55

[tex]\frac{1}{2}[/tex](135 - x) = 55 ( multiply both sides by 2 )

135 - x = 110 ( subtract 135 from both sides )

- x = -25 ( multiply both sides by - 1 )

x = 25°

Answer:

what is after the plus sign

Answer:

(x)n+4

Step-by-step explanation:

x=quantity multiplied by n for a product

n=a number

+4=4 more than the number

HOPE THIS HELPS!!!!!! :)

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