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Flauer [41]
3 years ago
5

Need help with literal equations

Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0

Answer:YES

Step-by-step explanation:

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(Geometry) The answers are x = 15 and y = 9 but I don't know how. Help me understand this
Kryger [21]

Check the picture below.

\bf \stackrel{\measuredangle DAC}{4y+2x}~~=~~\stackrel{\measuredangle BCA}{9y-x}\implies 2x=5y-x\implies 3x=5y\implies \boxed{x=\cfrac{5y}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle DAB}{[(4y+2x)+35]}~~+~~\stackrel{\measuredangle ADC}{5x+4}~~=~~180\implies 4y+2x+5x+39 = 180 \\\\\\ 4y+7x+39=180\implies 4y+7x=141\implies \stackrel{\textit{substituting "x"}}{4y+7\left( \boxed{\cfrac{5y}{3}} \right)} = 141

\bf 4y+\cfrac{35y}{3}=141\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 4y+\cfrac{35y}{3} \right)=3(141)}\implies 12y+35y=423 \\\\\\ 47y=423\implies y=\cfrac{423}{47}\implies \blacktriangleright y = 9 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=\cfrac{5y}{3}}\implies x = \cfrac{5(9)}{3}\implies \blacktriangleright x = 15 \blacktriangleleft

4 0
3 years ago
Example on worksheet (subtracting by adding up)
Lisa [10]

Answer:

(49 - 29) + 1 =(50 - 29)

Step-by-step explanation:

The 20 comes from the subtraction of 29 in both sides of the previous step equality. In the following, I transcript the complete procedure and I add the step that you need to understand why 20 appears (in bold numbers):

29+20=49

49+1=50

(49 - 29) + 1 =(50 - 29)

20+1=21

50-29=21

hence, it was only nesseraty to subtract 29

3 0
3 years ago
between which two numbers is the whole number qoutient of 88 divided by 5 write the numbers in the boxes (the number choices: 5,
Mars2501 [29]

Answer:

15 and 20

Step-by-step explanation:

When dividing 88 by 5 we wil have;

88/5

= 17 3/5

= 17 + 0.6

=  17.6

So we are to find the two numbers that 17.6 falls in between

From the given option 17.6 falls between 15 and 20. Hence the required numbers are 15 and 20

5 0
2 years ago
What comes next simplify 31/50,17/25,37/50,4/5,...
Ganezh [65]

43/50

31/50=0,62

17/25=0,68(0,06 more)

37/50=0,74(0,06 more)

4/5=0,8(0,06 more)

43/50=0,86(0,06 more) 

Next decimal should be  0,86

You need to find a fraction from the decimal 0,86

0,86=86/100=43/50

6 0
3 years ago
What is the mode range maximum minimum median of the numbers 3,4,3,2,3,4,5,2
Ymorist [56]
Mode: 3
Maximum: 5
Minimum: 2
Median: 3
( the range is a decimal )
6 0
3 years ago
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