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2 years ago

Solve for the given variable.

Mathematics

1 answer:

Andrej [43]2 years ago

8 0

Answer:

C= 50°+ 31°( exterior angle)

C=81°

D+45°+96°=180°(the sum of angles in a triangle)

D=180-45°-96°

D=39°

h+52°=76°( exterior angle)

h=76°-52°

h=24°

f+32°=66°( exterior angle)

f=66°-32°

f=34°

r+45°+35°=180°(the sum of angles in a triangle)

r=180-45°-35°

r=100°

n+33°=80°( exterior angle)

n=80°-33°

n=47°

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Need help for question 8 and 9. I need the equation that’s passes through the points!

dsp73

Answer:

Step-by-step explanation:

Question 8

Let the equation of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

y = mx + b

Here, m = slope and y-intercept = b

Since, m = $\frac{y_2-y_1}{x_2-x_1}$

For two points (1, 4) and (5, 8),

m = $\frac{8-4}{5-1}$

m = 1

Equation will be,

y = (1)x + b

y = x + b

Since, this line passes through (1, 4),

4 = 1 + b

b = 3

Therefore, equation of the line will be,

y = x + 3

Question 9

Let the equation is y = mx + b

m = $\frac{y_2-y_1}{x_2-x_1}$

For two points (2, 10) and (6, 4)

m = $\frac{10-4}{2-6}$

m = $-\frac{3}{2}$

By substituting the value of 'm' in the equation,

y = $-\frac{3}{2}x+b$

Since, this line passes through (2, 10)

10 = $-\frac{3}{2}(2)+b$

b = 10 + 2

b = 12

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$y=-\frac{3}{2}x+12$

4 0

3 years ago

Express this in standard form 5.4×10^1

Naily [24]

Well it would just be 54 since you just need to move the decimal over by 1.

So 5.4x10= 54

7 0

3 years ago

18/25 equals 126/?<br><br>Help, my dudes!<br><br>What does that question mark represent?

kap26 [50]

Answer:

the "?" represents the number 175

Step-by-step explanation:

126/18=7

so, you would multiply the 25 by 7 to get 175

hope this helps!

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3 years ago

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riadik2000 [5.3K]

Use a half-angle identity to find the exact value of sin pi/8

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3 years ago

Read 2 more answers

Write the numbers in each circle that is described by the attribute written outside the circle. Numbers in the overlapping regio

exis [7]

The attached image represents the completed Venn diagrams

<h3>How to complete the circles?</h3>

<u>Diagram 1</u>

We have:

Multiples of 3 and Multiples of 10

When the sets are populated, we have:

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Multiples of 10 = 10, 20, 30

Both = 30

Next, we complete the circles using the above data values

See attachment 1

<u>Diagram 2</u>

We have:

Multiples of 2, Multiples of 3 and Multiples of 5

When the sets are populated, we have:

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Multiples of 5 = 5, 10, 15, 20, 25, 30

Multiples of 2 and 3 = 6, 12, 18, 24 and 30

Multiples of 2 and 5 = 10, 20 and 30

Multiples of 3 and 5 = 15 and 30

All = 30

Next, we complete the circles using the above data values

See attachment 2

Solve for the given variable.​

Solve for the given variable.