PLS HELP ME

Mathematics

1 answer:

raketka [301]3 years ago

8 0

Answer:

y = 21°

Step-by-step explanation:

both are parallel lines, and that means

16x - 23 = 10x + 1

16x - 10x = 23 + 1

6x = 24

x = 4

---------------------------

taking 16x - 23

16 (4) - 23 = 64 - 23 = 41

both angles value is = 41°

------------------------------------

62° + x = 180

x = 180 - 62 = 118°

----------------------------------

the sum of all the angles inside the triangle is equal to 180°

41° + 118° + y = 180°

y = 21°

You might be interested in

You rent 3 DVDs and 4 video games for $25. The following weekend, your friend rents 6 DVDs and 8 video games for $54. Which of t

pashok25 [27]

May you add the statements so I can identify which one is true

5 0

3 years ago

Read 2 more answers

A used-boat dealership buys a boat for $2800 and then sells it for $4000. What is the percent increase?

Rudik [331]

Answer:

Step-by-step explanation:

percent increase = increase divided by original number x 100

increase is the difference between the two numbers...

new number - original number.....4000 - 2800 = 1200

percent increase = (1200 / 2800) x 100

= 0.42857 (round to .4286) x 100

= 42.86 %.....if you need it rounded to the nearest percent, it would be 43% increase

6 0

3 years ago

If CDE ~ GDF, find ED

qaws [65]

Answer:

Step-by-step explanation:

$\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}$