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Aleks04 [339]
3 years ago
7

Question 13 (5 points) m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.

Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

x=19°

Step-by-step explanation:

Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.

Right angles always add up to 90°.

So, Angle 1 add Angle 2 equals 90°.

4x+9+x-14=90°

Collect the like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

9-14= -5

Form an equation:

5x-5=90°

Do inverse operations to isolate x.

90+5=95°

95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).

So, x=19°

Hope this helps :)

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pentagon [3]

Answer:Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.1

CCSS.MATH.CONTENT.1.OA.A.2

Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Understand and apply properties of operations and the relationship between addition and subtraction.

CCSS.MATH.CONTENT.1.OA.B.3

Apply properties of operations as strategies to add and subtract.2 Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)

CCSS.MATH.CONTENT.1.OA.B.4

Understand subtraction as an unknown-addend problem. For example, subtract 10 - 8 by finding the number that makes 10 when added to 8.

Add and subtract within 20.

CCSS.MATH.CONTENT.1.OA.C.5

Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

CCSS.MATH.CONTENT.1.OA.C.6

Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

Work with addition and subtraction equations.

CCSS.MATH.CONTENT.1.OA.D.7

Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 - 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

Step-by-step explanation:

8 0
3 years ago
What can you say about the y-values of the two functions ?
grandymaker [24]
Both exponential i.e 5 ^x
A is true, surprisingly. 
B cannot be true, it alternates.(rule of indices negatives by positive exponent = positive, negative by negative , but -5 x -5 x -5 = + 5)
I'm only imaginging, but C must be right, since it increases exponentially, as opposed to D which only increases quadratically.  


 
8 0
3 years ago
Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books
slavikrds [6]

Answer:

2/3

Step-by-step explanation:

Let x be the number of books that Millicent has. So the number of books that Harold has is x/2. And the number of book that Harold is bringing to the new home is (x/2)/3 = x/6.

The home has enough room for another half of Millicent's books, which is x/2. So the total books capacity of the new home is

\frac{x}{6} + \frac{x}{2} = \frac{x}{6} + \frac{3x}{6} = \frac{4x}{6} = \frac{2x}{3}

Since x is also the number of books in Millicent's old library capacity, we can conclude that the fraction of Millicent's old library capacity to the new home's library capacity is 2/3, or 2 thirds

3 0
3 years ago
Carl is making a garden that is twice as long as it is wide. he wants to cover 271
d1i1m1o1n [39]

x²/2 =271 represents the situation where taking length twice as breadth and area as 271 ft² .

Area of a figure is the amount of space acquired by the figure

Area of a rectangle=Length x  breadth

length=x

breadth=x/2

Area of rectangular lawn=lxb

                                          =x.x/2

But as per question,

Area=271 ft²

⇒x²/2=271 1

⇒x=23.28 ft²

Therefore, x²/2 =271 represents the situation where taking length twice as breadth and area as 271 ft² .Value of x i.e. length is 23.28 ft²

Learn more about area,

brainly.com/question/25292087

#SPJ10

6 0
2 years ago
I dont know how to do this i will mark brainleist if you answer!
Free_Kalibri [48]

Answer:

12a. 45+0.5x+2x+x = 150

12b. the three unknown sides are 30ft, 60ft, and 15ft.

Step-by-step explanation:

12a. the fence is 150ft. so

45+0.5x+2x+x = 150

12.b solve the equation from 12a.

45+0.5x+2x+x = 150

7x/2 = 105

7x = 210

x= 30

0.5(30) = 15ft

2(30)=30ft

x= 30ft

the three unknown sides are 30ft, 60ft, and 15ft.

6 0
3 years ago
Read 2 more answers
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