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Natali [406]
3 years ago
14

In the diagram below de and ef are tangent to o what is the measure of E

Mathematics
2 answers:
Andreyy893 years ago
7 0

Answer: 32

Step-by-step expanation:

k0ka [10]3 years ago
3 0

Answer:

Option D is correct

\angle E = 32^{\circ}

Step-by-step explanation:

In the given diagram below DE and EF are tangent to O.

Join the point D and O and O and F as shown below.

It is given that:

\text{arc(DF)} = \angle DOF

⇒148^{\circ} = \angle DOF

or

\angle DOF = 148^{\circ}

A line is tangent to circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

Since, DE and EF are tangent

then:

\angle ODE = \angle OFE = 90^{\circ}

In a quadrilateral EDOF:

Sum of all the angles add up to 360 degree.

\angle FED +\angle ODE + \angle DOF+ \angle OFE = 360^{\circ}

Substitute the given values we have;

\angle FED +90^{\circ}+ 148^{\circ} +90^{\circ} = 360^{\circ}

⇒\angle FED + 328^{\circ} = 360^{\circ}

Subtract 328 degree from both sides we have;

\angle FED = 32^{\circ}

Therefore, the measure of angle E is, 32 degree.

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9. If 15 men working 10 days earn $500. How much will 12 men earn working 14,
Leno4ka [110]

Answer:

Firstly need to understand the questions.

If 15 men working 10 days, They earn 500.

If 12 men working 14 days, how much they will earn?

Step-by-step explanation:

560

Solution:

15 men working for 10 days =500

1 man working for 1 day = 500/(10*15) =10/3

Now 12 men working for 14 days = 12*14*10/3 =560.

I am pretty sure that answer is right.

Thank you :)

6 0
3 years ago
The sum of the number is 103.the second number is 4 times the third.the third number is 5 more then the first .what are the numb
Zigmanuir [339]

Answer:

13, 18, 72

Step-by-step explanation:

let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.

set up an equation, and make it equal to 103:

x-5+x+4x=103

solve:

6x-5=103

6x=108

x=18

so, the third number is 18.

the first number is equal to x-5, so:

18-5=13

the second number is equal to 4x, so:

4(18)=72

so, the three numbers are 13, 18, and 72.

4 0
2 years ago
Adam jogs at an average speed of 10km/h from his house to the airport. The airport is 7km away from his house. At what time must
mote1985 [20]

Answer:

6:38am

Step-by-step explanation:

From the question we are told that

Average speed V_{avg}=10km/h

Distance traveled d=7km

Generally the velocity across a distance is mathematically given given as V=d/t

10=\frac{7}{t}

t=0.7h\\t=42minutes

Therefore

7:20-42 minutes =6:38am

8 0
3 years ago
Parallelogram ABCD has the coordinates shown. A(-3,2) B(0,4) C(3,4) Find the coordinates of point D.
dimaraw [331]
Hey! Good Morning! (if its morning for you) Easy way to figure these things out is to just graph them an take a look. Since we know this is a parallelogram, we can use the basic rules of them to know for sure where that one last point is. (Or we can use the first way, your choice) So just by graphing those points and looking at the incomplete stricter it created, 

We can know the last point lies at (0, 2) (I put this spaced so you don't have to read my entire message lol)  Hope this helps and good luck!
 
6 0
3 years ago
Given that the measure of ∠x is 66°, and the measure of ∠y is 66°, find the measure of ∠z
kirza4 [7]

Answer:

48

Step-by-step explanation:

66*2=132

180-132=48

Hope this helps!

If not, I am sorry.

7 0
2 years ago
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