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3 years ago

Combine like terms. y + 3 + 9(y + 5) =

Mathematics

2 answers:

grin007 [14]3 years ago

8 0

Answer:

10y+48

Step-by-step explanation:

9y+1y= 10y
(9*5)+3=48

Mnenie [13.5K]3 years ago

7 0

Answer:

The answer is 10y + 48.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

$y + 3 + 9(y + 5) \\ = y + 3 + 9y + 45$

Next you have to collect like-terms :

$y + 3 + 9y + 45 \\ = 10y + 48$

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Work out the size angles x,y and z

Andreas93 [3]

Answer:

x = y = 14

z = 70

Step-by-step explanation:

As we can see from the markings, x = y

So we have an isosceles triangle in ABD

the sum of angles in a triangle is 180

52 + x + y = 180

x + y = 180-52

x + y = 28

so since x = y

x = y = 14

To get z, we have that;

52 + z + 14 + 44 = 180

z + 110 = 180

z = 180-110

z = 70

3 0

2 years ago

Use geometry words to describe a way to separate triangles into other triangles

zysi [14]

You can divide a triangle using medians. Let's name triangle ΔABC shown in figure 1. So you must start at one of the vertices and then bisect the opposite side. Let's start with the point A and then we bisect the opposite side. Then the length from B to D is equal to the length from D to C. So let's take the point B and then we bisect the opposite side. Then the length from A to E is equal to the length from E to C. The same reasoning happens with the point C. So we have, in figure 2, the triangle ΔABC divided into six triangles which all have the same area.

5 0

3 years ago

Plzzzzzzzzz help meeeeeeeeeeeeee

zzz [600]

Answer:

<em>Solution; x = - 2, x = 5</em>

Step-by-step explanation:

We are given the following equation 2x^2 + 2x + 12 = 3x^2 - x + 2;

2x^2 + 2x + 12 = 3x^2 - x + 2 ⇒ Subtract 2 from either side,

2x^2 + 2x + 10 = 3x^2 - x ⇒ Add x on either side,

2x^2 + 2x + 10 = 3x^2 ⇒ Subtract 3x^2 on either side, simplifying result,

- x^2 + 3x + 10 = 0 ⇒ Factor out common term - 1,

- ( x^2 - 3x - 10 ) = 0 ⇒ Break expression into groups,

- ( x^2 + 2x ) + ( - 5x - 10 ) = 0⇒ Factor x from x^2 + 2x , and - 5 from - 5x - 10,

- ( x( x + 2 ) ) - 5( x + 2 ) = 0 ⇒ Factor out common term x + 2,

- ( x + 2 )( x - 5 ) = 0 ⇒ Apply Zero Factor Principle,

x + 2 = 0, and x - 5 = 0 ⇒ Simplify,

<em>Solution; x = - 2, x = 5</em>

7 0

3 years ago

The length of a rectangle is 2 units shorter than one-fifth of the width, x.

sergey [27]

Answer:

C. $P=\frac{12x}{5} + 4$

Step-by-step explanation:

Width = x

Length = one fifth of width minus 2

Length = $\frac{1}{5}x-2$

Perimeter is given by the formula

$P=2(l+b)$

$P=2(\frac{1}{5}x-2+x)$

$P=2(\frac{x}{5}-2+x)$

$P=2\times \frac{x-2 \times 5+5 \times x}{5}$

$P=2\times \frac{x-10+5x}{5}$

$P=2\times \frac{6x}{5} - 2\times \frac{-10}{5}$

$P=2\times \frac{6x}{5} + 2\times \frac{10}{5}$

$P=\frac{12x}{5} + 4$

5 0

3 years ago

ABCD ≅ FGHJ. Find the measure of the given angles or lengths of the given sides. CD = 2x + 3; HJ = 3x + 2.

xenn [34]

The question asks for the length of CD and HJ. To find those, we need to find a connection between them.

In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.

So we know that CD and HJ are congruent.
Set them equal:
$2x + 3 = 3x + 2$
Subtract 2x from both sides:
$3 = x + 2$
Subtract 2 from both sides:
$x = 3$
If x is 3, plug it in:
$3(3) + 2$
Simplify:
$9 + 2 = 11$

So, HJ is 11. And because HJ ≅ CD, CD is 11 too.

3 0

3 years ago