ABC is a straight line.




The length AB is five times the length BC .

AC =90 cm.


Work out the length AB .


(3 marks)

Answer:

YZ = 7 , MO = 8

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

(11)

YZ = [tex]\frac{1}{2}[/tex] MN , that is

3x + 1 = [tex]\frac{1}{2}[/tex] (10x - 6) = 5x - 3 ( subtract 5x from both sides )

- 2x + 1 = - 3 ( subtract 1 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

Then

YZ = 3x + 1 = 3(2) + 1 = 6 + 1 = 7

(12)

XY = [tex]\frac{1}{2}[/tex] MO , that is

x - 1 = [tex]\frac{1}{2}[/tex] (3x - 7) ← multiply through by 2 to clear the fraction

2x - 2 = 3x - 7 ( subtract 3x from both sides )

- x - 2 = - 7 ( add 2 to both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Then

MO = 3x - 7 = 3(5) - 7 = 15 - 7 = 8

Answer:

-1/5

Step-by-step explanation:

if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5

Answer:

slope=-1/5

Step-by-step explanation:

Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5

Answer:cottontail

The answer is:You​ shouldn't expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur.

However, according to the law of large numbers, the frequencies of events with the same likelihood of occurrence even out, given enough trials or instances.

For example, in the case of  a fair coin, where both head and tail have equal probability of occurrence, as the number of tosses becomes sufficiently large (say 1 million tosses), the ratio heads to tails in the outcome will be extremely close to 1:1.

So according to the law, we should expect to approach a point where half of the outcomes are heads and the other half are tails, as the number of tosses become very large.

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:like like l'ike m y vieo9dsssssssss

The equivalent expression is 7m + 68

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = 56 + 23m + 12 - 16m

Adding the like terms in the equation , we get

A = ( 56 + 12 ) + ( 23m - 16m )

On Simplifying , we get

A = 68 + 7m

A = 7m + 68

Hence , the required solution is 7m + 68

To learn more about equations click :

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Answer:

Perimeter is 16 cm

Step-by-step explanation:

3+5+2+6=16

im assuming the amounts given are the side lengths

Answer:

This is a right trapezoidal prism.

To find the total surface area,

First we have to find the area of the 2 trapezoids.

Let us find now.

[tex]Area=2*\frac{1}{2} (a+b)*h[/tex]

[tex]Area=2*\frac{1}{2} (1.4+2.3)*1.9\\[/tex]

[tex]Area=3.7*1.9[/tex]

[tex]Area = 7.03m^{2}[/tex]

Now you have to find the areas of the 3 rectrangles.

Let us find now.

(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)

10.08 m² + 11.04 m² + 9.12 m²

= 30.24 m²

Now let us find the total surface area of this solid.

7.03 m² +  30.24 m²

= 37.27 m²

ANSWER :

y - 25 = 11

y = 25 + 11

y = 36

Answer:

y = 36

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x

<

3

5

Interval Notation:

(

−

∞

,

3

5

)

Step-by-step explanation:

[tex]5x - 1 < 2 \\ 5x < 3 \\ x < \frac{3}{5} \\ x < 0.6 \: x( - \infty . \frac{3}{5} )[/tex]

Answer:

m=fy/kx-Bf

Step-by-step explanation:

you simply simplify the equitions to be left with m on one side

Answer:

i cant see anything

Step-by-step explanation:

.

Answer:

1011×1011 = 11110011

Step-by-step explanation:

11 in binary is 1011

121 in binary is 1111001

Answer:

DEF

Step-by-step explanation:

If you turn it and line it up with C on D, B on E, and A on F, the similar line symbols match.

Answer:

-2×2+1/2×(-1×3+2/3)

-3/2×(-1/3)

3/6

[tex]\\ \sf\longmapsto y=\dfrac{2}{7}x+\dfrac{1}{3}[/tex]

Compare to slope intercept form of a line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

Answer:

a(66) = -10 + 17(65) = 1095

Step-by-step explanation:

We know that this is an arithmetic sequence.  Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17.  Thus, the common difference, d, is 17.  The first term is -10.

The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).

Substituting -10 for a(1) and 17 for d, we get:

a(n) = -10 + 17(n - 1)

Now let n = 66:  a(66) = -10 + 17(66 - 1), or    a(66) = -10 + 17(65) = 1095

Step-by-step explanation:

x = 6

is a straight vertical line (parallel to the y-axis, going through x=6 on the x-axis).

it's slope is therefore undefined (infinite). every possible y value (from -infinity to +infinity) is associated with this one x value (6).

Answer:

x=8

Step-by-step explanation:

3x-15+1=10

3x=10+15-1

3x=24

x=24/3=8

easy

Answer:

1. 25/24

2. 7/6

3. 4/3

4. 6/8 or 3/4

5. 5/4

1. 1

2. 1/4

3. 2/10 or 1/5

4. 7/3

5. 13/6

Answer:

f

Step-by-step explanation:

Answer:

Same line

Step-by-step explanation:

5y - x = 5                           y - 1/5x = 1

5y = x + 5                           y = 1/5x + 1

5y/5 = x/5 + 5/5

 y =  1/5x + 1

Answer:

-1/3

Step-by-step explanation:

hope this helps

Answer:

It is when it has factors and can be multiplied

Answer:

5.4% rounded to the tenths place.

Reasoning:

To convert 3/56 to a percentage, multiply the decimal version of 3/56 by 100.

Estimated, 3/56 as a percentage is 5.4%

Answer:

400+50+6

Step-by-step explanation:

456 means 400+50+6

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

    = -2(16) -32-10

    = -32 -32-10

   = -74

Answer:

8 inches

Step-by-step explanation:

h = 2 A/b

A = 160

b = 40

160/40 = 4

2 x 4 = 8 inches

The height of the triangles is 8in.

hope this helps!! p.s. i really need brainliest :)