Answer
x = 21
HOS = 68
Explanation
The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.
So that means 3x+5 plus 5x+7 must equal 180 degrees.
3x+5+5x+7 = 180
Combine like terms.
8x+12 = 180
Subtract 12 from both sides.
8x = 168
x = 21
But BE CAREFUL.
The problem is asking for the angle HOS.
To do this, just substitute what you got for x into the expression.
3(21)+5 = 68
The value of HOS is 68 degrees.
Answer:
k = 9
Step-by-step explanation:
This is an important question. The constant of proportionality is the same as the slope of the line y = 9x: 9
Calculating amount of fabric
Fabric comes in many different widths, so unless you know beforehand exactly how wide the fabric you intend to buy is, you will need to do a little bit of figuring out in the store.
When you go to the store, take with you all the information you’ll need, like all the pattern piece measurements, the zip lengths, elastic lengths etc. Think about these things too, will you need lining and how much? Will you need iron-on interfacing to stiffen collars or use on facing? Do you need matching thread? Bring pens and paper too! If you have this information, I’m sure most fabric store assistants will be happy to help you figure out how much you will need to buy.
Answer:
Step-by-step explanation:
c+a=20
a=20-c
5.25c+7.75a=140, using a from above makes this
5.25c+7.75(20-c)=140
5.25c+155-7.75c=140
-2.5c+155=140
-2.5c=-15
c=6
a=20-c=20-6=14
So she bought 14 adult and 6 children tickets.
Don't know about the TV problem, sorry.
For the next one (Dylan) = 14.1 inches
Use the Pythagorean Theorem a^2+b^2 = c^2
10^2 + 10^2 = c^2
100 + 100 = c^2
200 = c^2
Take the square root of both sides. The hypotenuse is equal to the square root of 200, which is 14.1 when rounded to the nearest tenth of an inch.
Hope this helps
