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Juli2301 [7.4K]
3 years ago
15

PQRS is a quadrilateral. <PQR = (7x-2) PSR = (5x+14) what is the measure of angles PQR and PSR?

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

54 degrees

Step-by-step explanation:

The angles are congruent, so you can set them equal to each other.

7x-2=5x+14

add 2 to the right side, subtract 5x to the left side

Simplifies to 2x=16

x=8

then you plug 8 into either equation since they're the same

7(8)-2 = 56-2 = 54


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Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a
Phantasy [73]

Answers:

  • Pizza Uno = $5.25
  • Pizza Duo = $5.60

Those are the costs for a whole small pizza.

==========================================================

Explanation:

Let

  • x = cost of whole small pizza from Pizza Uno
  • y = cost of whole small pizza from Pizza Duo

x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.

2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50

Multiply both sides by the reciprocal of 2/3 to isolate x

(2/3)*x = 3.50

(3/2)*(2/3)*x = (3/2)*3.50

x = 5.25

Pizza Uno charges $5.25 for a whole small pizza.

----------------------------

Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is

(3/4)y = 4.20

We'll use the same idea as the last equation to get...

(3/4)y = 4.20

(4/3)*(3/4)y = (4/3)*4.20

y = 5.60

Pizza Duo charges $5.60 for a whole small pizza.

Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.

7 0
3 years ago
12.03,1.2,12.3,1.203,12.301 order least to greatest
m_a_m_a [10]

Answer:

1,2, 1,203, 12,03, 12,3, 12,301

Step-by-step explanation:

1,2 → 1,200

1,203

12,3 → 12,300

12,301

I am joyous to assist you anytime.

8 0
3 years ago
PLZ HELP! Need this ASAP! Thx so much :)
saul85 [17]

they are giving you the answer AB=AC, so what that means is that the angles are congruent to each other so if angle AC=15 and angle DC=5 all the angles will be the same.

5 0
3 years ago
3. Find the length of the missing side given the information below.
Lubov Fominskaja [6]
<h3>Answer:  12.5  (choice C)</h3>

=================================================

We apply the pythagorean theorem to find this answer.

a = 11 and b = 6 are the given legs

c = unknown hypotenuse

So,

a^2+b^2 = c^2

c = sqrt( a^2+b^2 )

c = sqrt( 11^2 + 6^2 )

c = sqrt( 121 + 36 )

c = sqrt( 157 )

c = 12.52996 approximately

c = 12.5

Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).

7 0
3 years ago
Need help on this please giving brainlest! :)​
denis23 [38]

Answer:

a) (-4, 5)

b) (4, -5)

Step-by-step explanation:

Just reverse the signs or use desmos as a better example.

6 0
3 years ago
Read 2 more answers
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