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kramer
3 years ago
15

3(x+2)=2(x+5) i really need help

Mathematics
2 answers:
Ivan3 years ago
6 0

Answer:

x=4

Step-by-step explanation:

3(x+2)=2(x+5)

opening brackets

3x+6=2x+10

3x-2x=10-6

1x=4

MrRa [10]3 years ago
5 0

Answer:

x=4

Step-by-step explanation:

3(x+2)=2(x+5)

Clear the brackets by multiplying

3x+6=2x+10

Collect like terms

3x-2x=10-6

x=4

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I need some help please
Anvisha [2.4K]

Answer:

10x - 5

Step-by-step explanation:

Perimeter is found by adding up all the side lengths.

(2x-4) + (5x+6) + (3x-7) = 10x - 5

5 0
3 years ago
What are the missing statement and reason in step 2 of the proof? Statement: ∠ABC ≅ ∠BCD, ∠BAD ≅ ∠ADC Reason: For parallel lines
ICE Princess25 [194]

Answer:

Statement: AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Step-by-step explanation:

1.Statement: \angle ABC\cong \angle BCD,\angle BAD\cong \angle ADC.

Reason: For parallel lines cut by a transversal , corresponding angles are congruent.

2.Statement:AB=CD,BC=AD

Reason: By definition of parallelogram.

3.Statement: AC=AC

Reason: Reflexive property of equality.

4.Statement: \triangle ABC\cong \triangle CDA.

Reason: SSS criterion for congruence.

5.Statement:AB\cong CD, BC\cong AD.

Reason: Given .

6.Statement: AB\parallel CD, BC\parallel AD.

Reason: By definition of parallelogram.

7.Statement: \angle BAC\cong \angle ACD.

Reason: Alternate Interior Angles Theorem.

7 0
3 years ago
Find the 6th term of a geometric sequence with t1=5 and r = -1/2
Hoochie [10]
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
   
                 An = (A₀)(r)ⁿ ⁻ ¹ 
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms. 

Substitute the known values to the equation,

                   An = (5)(-1/2)⁶ ⁻ ¹
                   An = -5/32

Hence, the answer to this item is the third choice, -5/32. 
5 0
3 years ago
On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is
OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)] (1)

Where:

O(x,y) - Center of dilation.

P(x,y) - Original point.

k - Scale factor.

P'(x,y) - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

(P(x,y) = (10, 40), Q(x,y) = (70, 120), O(x,y) = (0,0), k = 5)

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]

P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]

P'(x,y) = (50,200)

Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]

Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]

Q'(x,y) = (350, 600)

Then, the length of the resulting segment is determined by following Pythagorean identity:

l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}

l_{P'Q'} = 500

The length of the resulting segment is 500.

3 0
3 years ago
Given that 5 miles is 8 km, convert 32.7 km to miles.<br>help im stuck
Dafna11 [192]

Answer:

20.4375 miles

Step-by-step explanation:

 5 miles / 8 <u>km</u>    *    32.7<u> km</u>   = 20.4375 miles

    ( see how the units 'km' cancel out and you are left with 'miles' as your answer?)

8 0
2 years ago
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