In circle F, arc AD = 80 and arc BC = 120.

How to find 2 equivalent fractions for 8/l0

Harlamova29_29 [7]

Answer:

4/5 ;$;$&$&&$&$*$,$*$,**$*$*$*$*$

4 0

2 years ago

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Find the measure of each angle.

Galina-37 [17]

Given:

Given that the isosceles trapezoid JKLM.

The measure of ∠K is 118°

We need to determine the measure of each angle.

Measure of ∠L:

By the property of isosceles trapezoid, we have;

$\angle K+\angle L=180^{\circ}$

$118^{\circ}+\angle L=180^{\circ}$

$\angle L=62^{\circ}$

Thus, the measure of ∠L is 62°

Measure of ∠M:

By the property of isosceles trapezoid, we have;

$\angle L \cong \angle M$

Substituting the value, we get;

$62^{\circ}=\angle M$

Thus, the measure of ∠M is 62°

Measure of ∠J:

By the property of isosceles trapezoid, we have;

$\angle J \cong \angle K$

Substituting the value, we get;

$\angle J =118^{\circ}$

Thus, the measure of ∠J is 118°

Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°

4 0

2 years ago

6 An account pays

Sergio039 [100]

Answer: £122.4

Step-by-step explanation:

Given

The rate of interest is 4%

The principal invested is £1500

the time period is 2 years

Compound interest is given by

$C.I.=P(1+r\%)^t-P$

put values

$C.I.=1500(1+0.04)^2-1500\\C.I.=1500[1.04^2-1]\\C.I.=1500[1.0816-1]\\C.I.=1500\times 0.0816\\C.I.=122.4$

Therefore, interest earned is £122.4

5 0

2 years ago

Write equations for the horizontal and vertical lines passing through the point (4, -5).

raketka [301]

Answer:

Horizontal line: y=-5

Vertical line: x = 4

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).

To determine the equation for the horizontal line passing through the point (4, -5), we must observe that the horizontal line will always have the same y-value regardless of the x-value.

Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5

To determine the equation for the vertical line passing through the point (4, -5), we must observe that the vertical line will always have the same x-value regardless of the y-value.

Therefore, the equation of the vertical line passing through the point (4, -5) will be: x=4

Hence:

Horizontal line: y=-5

Vertical line: x = 4

8 0

2 years ago

Solve each inequality.

Roman55 [17]

Answer:

$\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \hookrightarrow \: x > 5 }}}}}}}}$

Step-by-step explanation:

$\tt{x + 4 > 9}\\\\\sf{Bring \: 4 \: to \: the \: right \: side \: of \: the \: equation}.\\\\\tt{x>9-4} \\\\\sf{Subtract \: 4 \: from \: 9 \: to \: get \: 5}\\\\\boxed{\sf{x > 5}} \dashrightarrow \mathfrak{Answer}$

______________

$\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}$

4 0

2 years ago

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