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Vesnalui [34]
3 years ago
8

Write an addition equation or a subtraction equation (your choice!) to describe the diagram.​

Mathematics
1 answer:
harina [27]3 years ago
4 0

Answer:

(-9) + (-2) = -11

Step-by-step explanation:

The first arrow on the number line starts from 0, moves downwards 9 units from 0.

We would write this as -9.

Also, the next arrow starts moves from -9, 2 units downwards.

We would write this as -2

The addition equation would be:

(-9) + (-2) = -11

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Find the measures of each angle in the inscribed quadrilateral.
Marat540 [252]

Answer:

m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

Step-by-step explanation:

* Lets study the figure

- A circle and inscribed quadrilateral PQRS

- The four vertices of the quadrilateral lie on the circumference

 of the circle

∴ PQRS is a cyclic quadrilateral

* Lets revise the properties of the cyclic quadrilateral

- Each two opposite angles are supplementary, that means

 the sum of each two opposite angles = 180°

- The measure of the exterior angle = the measure of the

  opposite interior angle

* Lets solve the problem

∵ PQRS is a cyclic quadrilateral

∴ m∠P + m∠R = 180° ⇒ opposite angles

∵ m∠P = 5y + 30

∵ m∠R = 15y + 50

∴ 5y + 30 + 15y + 50 = 180 ⇒ add the like terms

∴ 20y + 80 = 180 ⇒ subtract 80 from both sides

∴ 20y = 100 ⇒ divide both sides by 20

∴ y = 5

* Now lets substitute the value of y in each angle to find

 their measures

∵ m∠P = 5y + 30

∴ m∠P = 5(5) + 30 = 25 + 30 = 55°

∵ m∠R = 15y + 50

∴ m∠R = 15(5) + 50 = 75 + 50 = 125°

∵ m∠Q = y² + 85

∴ m∠Q = 5² + 85 = 25 + 85 = 110°

∵ ∠S is opposite to ∠Q

∴ m∠S + m∠Q = 180° ⇒ opposite angles in the cyclic quadrilateral

∴ m∠S + 110 = 180 ⇒ subtract 110 from the both sides

∴ m∠S = 70°

* The measures of the angles are

  m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

8 0
2 years ago
Let a[0 . . . n] be an array of n + 1 natural numbers not exceeding n. let k < n be an integer such that the values of any tw
12345 [234]

Answer:

i really have no clue but if i put this i get points so good luck on your test

6 0
2 years ago
Joe and his family are flying to Texas. Their plane flies 645 miles at 215 mph. How long does the trip take? Solve and explain
olya-2409 [2.1K]
You can use the distance equation.. d = rt
d = distance = 645
r = rate = 215 mph
t = time = ???? find the time
645 = 215t
645/215 = 215t / 215
3 = t
t = 3
It took 3 hours

7 0
3 years ago
How would I answer 1.75 times 6​
Yuki888 [10]

Answer:10.5

Step-by-step explanation:You just add 1.75 6 times.

4 0
2 years ago
Read 2 more answers
What is the value of the expression <br> 3<br> 6 - (- 11.5)?<br> 4
Digiron [165]

Answer: 31 hope this helped

Step-by-step explanation: I'm assuming your problem looks like this: 4+5*6-3 =? To solve this problem you need to use the order of operations. PEMDAS which stands for Parentheses, exponents, multiply and divide, and lastly add and subtract. You must multiply and divide before you add and subtract so you must do 5*6 first. You now get 4+30-3. Now all you have left is addition and subtraction so you now just go from right to left and do one at a time. So 4+30 = 34 , 34-3=31. Therefore your answer should be 31. Hope that helped!

8 0
2 years ago
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