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o-na [289]
3 years ago
5

Please help (angles)​

Mathematics
1 answer:
OLEGan [10]3 years ago
7 0
Angle 6&5 are supplementary so they make a line. (Add to 180.)
(3x-34)+124=180 combine like terms
3x + 90=180 subtract 90 from both sides
3x = 90. Divide by 3
X = 30
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The book store is having a sale where all hardcover books are 20% off. Jamie also has a coupon for 15% off any fiction book. Jam
scoray [572]

You can use the fact that both 20% and 15% discounts will be merged to reduce 35% of the price of the book that Jamie buys.

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3>
How are discounts calculated for the case when its sale and we've got discount coupons too?</h3>

Suppose the sale gives p% off.

And the discount coupon provides q% off.

Then we have total discount applied on the cost of the object bought as

(p+q)%

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

<h3>Using the above fact to calculate the amount that Jamie saved </h3>

Since the sale offers 20% discount and Jamie has got 15% discount coupon for any fiction book, thus, total 35% will be discounted if Jamie buys fiction book.

Since the price of the fiction book that Jamie brought is $32.99, thus,

Saved amount = 35% of $32.99 = \dfrac{32.99}{100} \times 35 = 0.3299 \times 35 \approx \$11.55

Thus,

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3 />

Learn more about percentage here:

brainly.com/question/11549320

5 0
2 years ago
Solve the equation:<br><br> 3x-5 = 19-x
Sindrei [870]
3x-5=19-x
3x-5-19+x=0
4x-24=0
4x=24
x=6

8 0
3 years ago
Rob owes Debra $36 and pays her 1/3 of what he owes. How much does he now owe?
wolverine [178]

Answer:

24

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Cheyenne is playing a board game. Her score was - 130 at the start of her turn, and at the end of her turn
Svet_ta [14]

Answer: -245

Step-by-step explanation: The reason is because if you add -245 to -130 you will get her present score which is -375.

-245 + (-130)

6 0
3 years ago
Find all solutions to the equation:
crimeas [40]

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.

7 0
3 years ago
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