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Anuta_ua [19.1K]
2 years ago
5

a certain triangle has a 30 degree angle and a 60 degree angle. which must be a true statement about the triangle

Mathematics
2 answers:
Oduvanchick [21]2 years ago
6 0
The last angle is 90 degrees

viktelen [127]2 years ago
6 0
It is a right triangle (90 degrees is the other angle)
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2. At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows
OverLord2011 [107]
Rounding goes up to the next number when a number is 5-9.
-$3
-$1
-$5
-$2
-$3
-$9
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- $1 off (coupon)
- $1 off (coupon)

Rounded Total: $22
Exact Total: $21.77

B) The total on the register is reasonable because even with the rounded price at the end, it is only 23 cents off, which is good.
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2 years ago
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If f (x) = x + 7 and g (x) = StartFraction 1 Over x minus 13 EndFraction, what is the domain of (f circle g) (x)? StartSet x ver
nekit [7.7K]

Answer:

The domain of the function will be {x I x ≠ 13}.

Step-by-step explanation:

The two functions f(x) and g(x) are given to be

f(x) = x + 7 and

g(x) = \frac{1}{x - 13}

Now, we have to find the composite function (fog)(x).

Here, (fog)(x) = f{g(x)}

⇒ (fog)(x) = f(\frac{1}{x - 13}) = \frac{1}{x - 13} + 7 = \frac{7x - 90}{x - 13}

Therefore, the denominator of the function can not be zero and the domain of the function will be {x I x ≠ 13}. (Answer)

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2 years ago
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Jonah has a recipe that uses 1 1/2 cups of brown sugar and 2 1/3 cups of flour to make 24 muffins has a total of 7 cups of flour
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2 years ago
Given: Quadrilateral PQRS is a rectangle. Prove: PR = QS Reason Statement 1. Quadrilateral PQRS is a rectangle. given 2. Rectang
Alex73 [517]

Answer:

Step-by-step explanation:

Given:  Quadrilateral PQRS is a rectangle.

To prove: PR = QS

Proof: 1.  Quadrilateral PQRS is a rectangle(Given).

2. Rectangle PQRS is a parallelogram (Definition of a rectangle).

3. QP ≅ RS QR ≅ PS (Opposite angles of parallelogram are equal).

4. m∠QPS = m∠RSP = 90° (definition of a rectangle)

5. Δ PQS ≅ ΔSRP (SAS criterion for congruence)

6. PR ≅ QS (Corresponding sides of congruent triangles are congruent).

7. PR = QS (Congruent line segments have equal measures).

6 0
2 years ago
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8% of the employees at a shop work part time. If there are 4 part time employees at the shop, how many employees are there in to
Murljashka [212]

Answer:

50 employees

Step-by-step explanation:

We can set up a proportion which would be

4/x = 8/100

This shows 4 out of x people is the same as 8% of 100.

We divide 100 by 8, and then multiply by 4 to get 50.

We can check this by plugging 50 into the proportion.

4/50 = 0.08

8/100= 0.08

There are 50 total employees at the shop.

4 0
2 years ago
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