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kupik [55]
3 years ago
10

In circle A, ∠BAE ≅ ∠DAE.

Mathematics
2 answers:
liraira [26]3 years ago
6 0

Answer:

x = 17

Step-by-step explanation:

:) I hope you have a good day

kirza4 [7]3 years ago
5 0

The image of circle A is missing, so i have attached it;

Answer:

x = 17

Step-by-step explanation:

In Δs EAB and EAD

We are told that;

∠BAE ≅ ∠DAE

AB = AD = AE

Now,

The Two triangles have two corresponding equal sides and the angles between them are equal, thus, we can say that the two triangles are congruent by SAS (Side Angle Side) postulate of congruence

By using the result of congruence, we can say that;

EB ≅ ED

We are given that;

EB = 3x - 24 and ED = x + 10

Thus,

3x - 24 = x + 10

∴ 3 x - 24 = x + 10

Add 24 to both sides to give;

3x = x + 34

Subtract x from both sides to give;

2x = 34

Divide both sides by 2 to give;

x = 17

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HELP!!! Picture included :).
jasenka [17]

Answer:

(A'B'): 3 1/2 IN.

(D'E'): 2 1/2 IN.

(R'S'): 4 IN.

Step-by-step explanation:

Just slice the numbers in half

Also i took the test.

6 0
3 years ago
REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
aivan3 [116]

Answer:

It can hold up to 1.256ft^3 of waste

<em></em>

Step-by-step explanation:

Given

D = 1.5ft -- Diameter

h = 1.6ft -- height

Required

Determine the amount of waste it can hold

This simply means that we calculate the volume of the cylindrical container.

And this is calculated using:

Volume = \pi r^2h

Where

\pi = 3.14

and

r = \frac{D}{2}

r = \frac{1.5}{2}

r = 0.75

So, we have:

Volume = 3.14 * 0.5^2 * 1.6

Volume = 1.256ft^3

<em>Hence, it can hold up to </em>1.256ft^3<em> of waste</em>

3 0
3 years ago
Given sin(−θ)= −1/4 and tanθ= 15√15 .<br><br> What is the value of cosθ ?
dangina [55]

\sin =  \frac{y}{r}  \\  \\   \tan =  \frac{y}{x}  \\ \\ \cos =  \frac{x}{r} \\  \\   {x}^{2}  +  {y}^{2} =  {r}^{2}

-  \sin =  \frac{ - 1  \: =  \: y}{4  \: =  \: r}
15 \sqrt{15}  =  \frac{1}{x}  \\  \\ x = .017
\cos =  \frac{.017}{4}  = .0043
4 0
3 years ago
Can someone help me with this
Morgarella [4.7K]

Answer:

FG=30

Step-by-step explanation:

Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

FH=FG+GH

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

4x=(2x+10)+x

Solve for x. On the right, combine like terms:

4x=3x+10

Subtract 3x from both sides:

x=10

So, the value of x is 10.

To find the value of FG, substitute 10 into its x:

FG=2x+10\\FG=2(10)+10

Multiply:

FG=20+10

Add:

FG=30

And we're done!

6 0
3 years ago
Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total dista
Volgvan

Step-by-step explanation:

so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.

d = 8km/h × 2h = 16km

Serena ran 16km in these 2 hours.

7 0
2 years ago
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