1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
I hope this helps! :)
Step-by-step explanation:
we have
length =8in
breadth =6in
since . The length and width of the actual flower bed will be 24 times larger than the length and width in the drawing.
new
length=8×24=192in
breadth =6×24=144in
(b) What is the perimeter of the actual flower bed ? Show your work.
<em>answer:the perimeter of the</em><em> </em><em>actual flower bed</em><em> =2(l+b)</em>
<em> =2(l+b)=2(192+144)=672</em><em>in</em>
(a) What is the perimeter of the drawing? Show your work
<em>answer</em><em> </em><em>:</em><em> </em><em>the perimeter of the </em><em>drawing</em>
<em>=</em><em>2</em><em>(</em><em>8</em><em>+</em><em>6</em><em>)</em><em>=</em><em>9</em><em>6</em><em>in</em>
<em>(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 24? Show your work</em>
<em>p</em><em>e</em><em>r</em><em>i</em><em>m</em><em>e</em><em>t</em><em>e</em><em>r</em><em> </em><em>o</em><em>f</em><em> </em><em>flower </em><em>bed</em><em> </em><em>/</em><em>p</em><em>e</em><em>r</em><em>i</em><em>m</em><em>e</em><em>t</em><em>e</em><em>r</em><em> </em><em>o</em><em>f</em><em> </em><em>d</em><em>r</em><em>a</em><em>w</em><em>i</em><em>n</em><em>g</em>
<em>=</em><em>9</em><em>6</em><em>/</em><em>6</em><em>7</em><em>2</em><em>=</em><em>1</em><em>/</em><em>7</em>
<h3>
<em>perimeter</em><em> </em><em>of</em><em> </em><em>drawing</em><em> </em><em>is</em><em> </em><em>increased</em><em> </em><em>by</em><em> </em><em>7</em><em>t</em><em>i</em><em>m</em><em>e</em><em>s</em><em> </em><em>of</em><em> </em><em>perimeter</em><em> </em><em>of</em><em> </em><em>flower</em><em> </em><em>bed</em></h3>
Answer:
6
Step-by-step explanation:
14 + 4 = 18
I add because I would like to know how many markers Mr. Acosta has before giving some away.
18 (divide) 3 = 6
I divide because you are asked to find how many markers are in each box.
The independent variable is M, Miles.
This is because you can walk however miles without any effect. But calories depends on how much you walked. Make sense?
Answer:
x = -2y - 4
Step-by-step explanation:
x + 2y = -4
Subtract 2y from both sides.
x = -4 - 2y
