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ANEK [815]
3 years ago
11

At the beginning of the week, you have $42 in your savings account. During the week, you deposit $25 and withdraw $36. How much

money is in your account at the end of the week? *
Mathematics
1 answer:
Natalija [7]3 years ago
5 0

Answer: you have $31 at the end of the week

Step-by-step explanation:

First, let's put this problem into an algebraic expression. We started off with $42. We then added $25 and took out $36 during the week. The expression for this problem is

42

+

25

−

36

.

Next, add 42 and 25 together to get

67

. We now have

67

−

36

.

Finally, subtract 36 from 67 to get

31

, our answer.

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Given triangle ABC is similar to triangle DEF, angle A measures 30 degrees, and angle F measures 50 degrees, what is the measure
Alona [7]

Answer:

100 degrees

Step-by-step explanation:

Since triangle ABC is similar to triangle DEF, their angles are basically the same.

All angles of a triangle have to add up to 180.

We are already given two angles: 30 and 50

Add them together: 30 + 50 = 80

Now we subtract the number from 180

180 - 80 = 100

The remaining angle has to be 100 degrees

6 0
2 years ago
Use the diagram below to solve. The m∠ 1 = 29x + 12 and the m∠ 5 = 15x - 8. All lines that appear parallel are parallel.
Kamila [148]

Answer:

Equation: (29x + 12)° + (15x - 8)° = 180°

x = 4

m∠ 5 = 52°

Step-by-step explanation:

Given:

m∠ 1 = 29x + 12,

m∠ 5 = 15x - 8

Since all lines that appear are parallel, therefore, opposite angles of the quadrilateral are congruent.

Therefore, m<1 = m<4 = 29x + 12

m<4 + m<5 = 180° (linear pair)

(29x + 12) + (15x - 8) = 180° (substitution)

The equation above is what we would use in solving for x. Let's solve for x:

29x + 12 + 15x - 8 = 180

Collect like terms

44x + 4 = 180

Subtract 4 from both sides

44x = 180 - 4

44x = 176

Divide both sides by 44

x = 176/44

x = 4

m∠ 5 = 15x - 8

Plug in the value of x

m∠ 5 = 15(4) - 8 = 60 - 8

m∠ 5 = 52°

7 0
3 years ago
17 times 0.0167. Can someone solve this step by step
Nuetrik [128]

Answer:

0.2839

Step-by-step explanation:

Can you tell me what part you are stuck on?

8 0
3 years ago
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zavuch27 [327]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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QUESTION 4<br>Factorise fully:<br>4.1.1<br>12x² – x - 6​
vaieri [72.5K]

Answer:

y = (4x - 3)(3x + 2)

Step-by-step explanation:

Factorization is the process of taking like terms out of number such that one can rewrite an expression by its factors, or as the products of serval smaller expressions.

The first step to factoring an equation is to rewrite the linear term as the sum or difference of two other linear terms. One must do this in such as way that it shares a common factor with one of the other terms in the expression.

12x^2 -x - 6

12x^2 -9x + 8x - 6

Take out the common factor,

3x(4x-3)+2(4x-3)

Factor,

(3x+2)(4x-3)

7 0
3 years ago
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