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nirvana33 [79]
3 years ago
12

Solve the two-step equation. - 2/3 x - 21/4 = 27/4

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
6 0

Answer:

x = -18

I hope this helps!

klemol [59]3 years ago
6 0

Answer:

X- (-18)

Step-by-step explanation:

Hope this helps:)

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Need some help working these out
s2008m [1.1K]

Answers:

  • Problem 1)  40 degrees
  • Problem 2) 84 degrees
  • Problem 3) 110 degrees

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

Explanation:

For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.

For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.

Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.

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

For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.

This all means that angle DEF is a right angle and 90 degrees.

So,

(angle DEP) + (angle PEF) = angle DEF

(angle DEP) + (35) = 90

angle DEP = 90 - 35

angle DEP = 55

The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.

3 0
3 years ago
Malachy, Sushil and Fiona share some sweets in the ratio 7:1:1. Malachy gets 90 more sweets than Fiona. How many sweets does Sus
VashaNatasha [74]

Answer:

15

Step-by-step explanation:

Fiona (F) = Sushi (S)

Malachy (M) = 7 Fiona (F)

M = F + 90

F + 90 = 7F

6F = 90

F (Fiona) = 15

S (Sushi) = 15

check: Malachy (M) = 15 * 7 = 105

M-F = 105 - 15 = 90

3 0
3 years ago
Will give brainliest IF CORRECT
hammer [34]

Answer:

They are supplementary angles.

Hope it will help :)

3 0
2 years ago
Evaluate the expression when x = 1/2 and y = -2/5. Show all work.<br>1. -x + y<br>2. x +2y
NISA [10]
I am old, so I like to use paper & pencil

4 0
3 years ago
A card is drawn from a 52 card deck any fair coin is flipped what is the probability of getting Jack and hits
Black_prince [1.1K]

Answer:

1/26

Step-by-step explanation:

There are 4 Jacks in every deck of cards, one for each suit. Therefore your chances of drawing a Jack, or any other card for that matter, are 4 in 52. So, the first probability for cards is 4/52.

Now, for the coin, the probability is 1/2.

So, the probability of getting Jack and hits is 4/52 X 1/2 = 1/26.

4 0
2 years ago
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