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vodomira [7]
3 years ago
7

What is w and z? please helppoppooo

Mathematics
1 answer:
labwork [276]3 years ago
4 0

Answer:

w = 3

z= 31

Step-by-step explanation:

4w - 2 = w +7

4w -w = 7+2

3w= 9

w = 3

sum of angles on a line is 180

3z+25+2z=180

5z=180-25

5z=155

z=155/5

z= 31

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In triangle abc, m of acb = 90, cd is perpendicular to ab , m of acd is 60. and bd is 5 cm. find ad
weeeeeb [17]

Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

\angle acd = 60 ^{\circ}

Therefore, we have

\angle dcb =90- 60= 30 ^{\circ}

Now, in triangle bcd, we have

\tan30 = \frac{5}{cd}\\
\\
\frac{1}{\sqrt 3}=\frac{5}{cd}\\
\\
cd=5\sqrt 3

Now, in triangle acb, we have

tan 60 = \frac{ad}{5\sqrt3} \\
\\
\sqrt 3=  \frac{ad}{5\sqrt3}\\
\\
ad= 5\sqrt3 \times \sqrt 3\\
\\
ad= 5\times 3\\
\\
ad=15

Thus, ad is 15 cm.


4 0
3 years ago
Farooq paid 25% of salary as a house rent and 50% of salary for other expenses.
galina1969 [7]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Name three decimals between 0.55 and 0.56
marshall27 [118]
Some decimals between 0.55 and 0.56 are 0.551, 0.552, 0.553, 0.554, 0.556, 0.557, 0.558, 0.559. 

i hope this is helpful
5 0
3 years ago
The cost C (in dollars) of making n watches is represented by C=15n 85. How many watches are made when the cost is $385?
FromTheMoon [43]
We know that C is 385, so we can plug that in to get the equation 385=15n+85. To find the number of watches, we have to solve for n.
To do that we have to...

385=15n+85

First subtract both sides of the equal sign by 85 (because we need to do the opposite)

300=15n (because 85-85 is zero, so we eliminated that, and 385-85 is 300)

Now we divide both sides of the equal sign by 15 (again, opposites)

20=n (because 15n/15 leaves us with n since both 15s cancel out, and 300/15 is 20)

So the number of watches made were 20.
7 0
3 years ago
Solve the system of equations by substitution
scoundrel [369]

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

given the 2 equations

x + y = 4 → (1)

y = 3x → (2)

Substitute y = 3x into (1)

x + 3x = 4

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 3 × 1 = 3

solution is (1, 3 )


7 0
3 years ago
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