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Tatiana [17]
3 years ago
9

Find the value of x in the following parallelogram:

Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

x=35

Step-by-step explanation:

2x-10+2x+50=180 degrees

4x-10+50=180

4x+40=180

4x=140 x=35

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A red kangaroo hops at an average speed of 20km per hour. How fast is this in meters per minute?
masya89 [10]

Answer:

333.3 meters per minute

Step-by-step explanation:

<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>

\frac{20km}{1hr}

<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} ...

<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}

<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

8 0
3 years ago
Estimate the product 8.1 x 4.2
Korvikt [17]
Round 8.1 down to 8
Round 4.2 down to 4

8(4)= 32

The estimated product is 32.
Hope this helps!
6 0
3 years ago
If x+2y=3 and xy=2 show that x³+8y³+9=0​
kicyunya [14]

Step-by-step explanation:

<u>Given</u>

  • x + 2y = 3 and xy = 2
  • show that x³ + 8y³ + 9 = 0​

<u>Solution in steps:</u>

  • (x + 2y)³ = 3³
  • x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
  • x³ + 6x(xy) + 12y(xy) + 8y³ = 27
  • x³ + 8y³ + 6(x + 2y)xy = 27                    ⇒  Substitute values
  • x³ + 8y³ + 6*3*2 = 27
  • x³ + 8y³  + 36 - 27 = 0
  • x³ + 8y³  + 9 = 0

Done

4 0
3 years ago
A $45 pair of rainboots is on sale for $38.2. what percent does the customer save?
aksik [14]

Answer:

Step-by-step explanation:

Discount = 45 - 38.20 = $ 6.80

Discount % = \frac{Disscount}{Original price}*100

                   =  \frac{6.80}{45}*100

                   = 15.11 %

Percentage of savings = 15.11%

4 0
3 years ago
A bag contains 5 red balls 3 green beads and 2 blue beads if three beads are picked from the bag at radnom without replacement w
MrRissso [65]

Answer:

1/4 or 0.25

Step-by-step explanation:

please kindly check the attached files for details

7 0
3 years ago
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