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Viktor [21]
3 years ago
6

I will award you brainlist

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Answer:

TRUE

Step-by-step explanation:

We are given 2 triangles, ∆ABC and ∆DEF.

For the two trinagles to be considered similar, both must have their set of corresponding angles congruent to each other. That is, their corresponding angles are equal.

From the information given, the following are the set of corresponding angles:

<B = <E = 31°

<B = <D = 90°

<C = <F = 59° [180 - (90+31)]

The corresponding angles of both triangles are congruent. Therefore, it is guaranteed that ∆ABC is similar to ∆DEF (∆ABC ~ DEF).

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Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe
vesna_86 [32]
Let
 x = loaves of bread
 y = batches of muffins
 You must make a system of two equations with two unknowns that describe the problem
 3.5x + 2.5y = 17 --- (1)
 0.75x + 0.75y = 4.5 --- (2)
 Resolving we have
 x = 6-y (from (2))
 replacing in (1)
 3.5 (6-y) + 2.5y = 17
 21 - 3.5y + 2.5y = 17
 y = 21-17 = 4
 Then substituting in (2)
 x = 6-y = 6-4 = 2
 Answer
 Helena could bake:
 2 loaves of bread
 4 batches of muffins
8 0
4 years ago
Solve for x.<br><br> 3(x-1)-8=4(1+x)+5<br><br> Also could someone please explain how to do this??
Marianna [84]

9514 1404 393

Answer:

  x = -20

Step-by-step explanation:

First, simplify the equation. Eliminate parentheses and combine terms.

  3(x -1) -8 = 4(1 +x) +5 . . . . . . . given

  3x -3 -8 = 4 +4x +5 . . . . . . . . eliminate parentheses (distributive property)

  3x -11 = 4x +9 . . . . . . . . . . . . combine like terms

We can put all the x-terms on the right by subtracting 3x from both sides.

  3x -11 -3x = 4x +9 -3x

  -11 = x +9

And we can get the x-term by itself by subtracting 9 from both sides.

  -11 -9 = x +9 -9

  -20 = x . . . . . . . . . . this is the solution

__

<em>Check</em>

3(-20 -1) -8 = 4(1 -20) +5

3(-21) -8 = 4(-19) +5

-63 -8 = -76 +5

-71 = -71 . . . . . . . . . true, the answer checks OK

_____

<em>Additional comment</em>

We observe that the two x-terms are 3x and 4x. The smaller of these is 3x, so when we subtract that from 4x we will have a <em>positive</em> result. That is why we chose to subtract 3x, even though it leaves the x-term on the right side of the equation. We could have subtracted 4x to get -x -11 = 9. I find it easier not to make a mistake if the variable has a positive coefficient.

3 0
3 years ago
The table shows a cats weight over a 5 year period. Which graph could represent this data
professor190 [17]

Answer:

D

Step-by-step explanation:

it represents it own right

6 0
3 years ago
Read 2 more answers
As a​ fundraiser, a school club is selling posters. The printer charges a ​$27 ​set-up fee, plus ​$0.75 for each poster. Then th
Slav-nsk [51]

Answer:

Step-by-step explanation:

The printer charges a ​$27 ​set-up fee, plus ​$0.75 for each poster. The set up fee is constant.

The cost y in dollars to print x posters is given by the linear equation

y=0.75x+27.

a) To find the cost, y in dollars to print 50 posters, we will substitute 50 for x in the given linear equation. It becomes

y=0.75x+27

y = 0.75 × 50 +27

y = 37.5 +27 =$64.5

b) To find the cost, y in dollars to print 100 posters, we will substitute 100 for x in the given linear equation. It becomes

y=0.75x+27

y = 0.75 × 100 +27

y = 75+27 =$102

6 0
3 years ago
If you can, please explain the step by step process to finding the answer.​
Bingel [31]

Answer:

20% peanuts are there in the mixture of nuts.

Step-by-step explanation:

Total weight of the mixture =25 lbs(10+15)

In the 25 lbs mixture of nuts, 68 % is peanuts, therefore finding the total weight of peanuts.

68 % of 25 lbs= 17 lbs.

There is a total 17 lbs of peanuts in the mixture .

15 lbs of peanuts was exclusively added, therefore the rest 2 lbs must have come from the mixture of nuts.

Therefore, there is a total of 2 lbs of peanuts in 10 lbs of mixture of nuts.

\frac{2}{10} *100 =20 %

20% peanuts are there in the mixture of nuts.

8 0
3 years ago
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