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slamgirl [31]
3 years ago
14

13) mZFCD= x +41, mZBCF= x + 78, and mZBCD=95°. Find x. BO C D

Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:

x = - 12

Step-by-step explanation:

∠ FCD + ∠ BCF = ∠ BCD , substitute values

x + 41 + x + 78 = 95 , that is

2x + 119 = 95 ( subtract 119 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

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What is the difference between a formal and an informal proof?
Nutka1998 [239]
 <span>informal proofs are usually in paragraph form, while formal proofs are numbered, like this: 
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6 0
3 years ago
mr. smith has a maximum of $50 to spend at a museum. a ticket to the museum costs $7. he can spend p dollars to buy other things
7nadin3 [17]

The inequality that can be used to find the values for p is p + 7 ≤ 50.

Given the information,

Mr. Smith can only spend up to $50 at a museum. The museum admission ticket is $7. He can use his P dollars to purchase other items from the museum.

The total budget is $50.

The cost per ticket is $7

⇒ Total spent ≤  Total Budget

⇒ p + 7 ≤ 50

⇒ p ≤ 43

Therefore, p + 7 ≤ 50 will be the inequality that aids in determining the range of values for p.

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brainly.com/question/20383699

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5 0
1 year ago
The two figures shown below are congruent. Identify the corresponding sides and angles.
sashaice [31]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

If the figure ABCD and the figure RSPQ are congruent

then

The corresponding sides and corresponding angles are equal

so

SR=BA

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5 0
4 years ago
Read 2 more answers
Write two Pythagorean triplets each having one of the numbers as 5.
eimsori [14]

Answer:

3, 4, 5 and 5, 12, 13

Step-by-step explanation:

The square of the largest side is equal to the sum of the squares of the other 2 sides.

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The 2 triplets are (3, 4, 5 ) and (5, 12, 13)

7 0
3 years ago
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A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds.A large bag contains 41/2 cups of dried fruit and
Juliette [100K]
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

\left \{ {{3f + 4a = 6} \atop {41/2 f + 6a = 9 }} \right.

Solve for a in first equation:
a = (6 - 3f) / 4

Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
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Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
   = 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>

3 0
3 years ago
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