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Lynna [10]
3 years ago
13

The larger of two supplementary angles is 6 less than 5 times the smaller. Find the measure of the two angles.

Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Answer:

Step-by-step explanation:

Let the two angles be x and y

Then: y = 5x - 6

And x + y = 180° (the of supplementary angle is 180°)

Putting y = 5x - 6

x + 5x - 6 = 180

6x = 180 + 6

6x = 186

x = 186/6

x = 31°

And y = 5x - 6

y = 5(31) - 6

y = 155 - 6

y = 149°

The angles are 31° and 149°

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Ostrovityanka [42]

The answer is -5x + 4y = -20

8 0
3 years ago
Y-intercept = (0, 2)<br> slope = -3/7 what is the equation?
Marianna [84]

Answer:

y = -(3/7)x + 2

Step-by-step explanation:

(see attached)

recall that the slope-intercept form of a linear equation is

y = mx + b

where m = slope = given as -(3/7)

and b = y-intercept = 2

substituting these values into the eqation:

y = mx + b

y = -(3/7)x + 2

8 0
3 years ago
Complete the table by filling in the elapsed tine.<br> Help pls
Sav [38]

Answer:

RADIUS

==================================

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

==================================

#CarryOnLearning

7 0
2 years ago
Read 2 more answers
Use order of operation
Inessa [10]
(6+23)=29
(32-25)=7
(29)x(7)+(7x7)
203+49= 252
the answer is 252
6 0
3 years ago
Write the equation of the line in slope-intercept form when given m=-6 and (-1,3)
Dmitry_Shevchenko [17]

Step-by-step explanation:

y=mx+b

y=-6x+b

3=-6(-1)+b

b=-3

y=-6x-3

3 0
3 years ago
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