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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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In Sakura's garden, for every 5 red flowers, there are 10 yellow flowers. There are 75 total red and yellow flowers. How many re
sweet [91]

Answer: there are 25 red flowers in Sakura's garden.

Step-by-step explanation:

In Sakura's garden, for every 5 red flowers, there are 10 yellow flowers. This means that if there are 10 red flowers, there would be 20 yellow flowers. if there are 20 red flowers, there would be 40 yellow flowers. Therefore, the ratio of red flowers to yellow flowers in the garden is

5/10 = 10/20 £= 20/40 = 1/2 = 1:2

Total ratio = 2 + 1 = 3

If there are 75 total red and yellow flowers, then the total number of red flowers are in Sakura's garden would be

1/3 × 75 = 25

8 0
3 years ago
Select ALL the correct answers.<br> Select all functions that have a y-intercept of (0,5).
otez555 [7]
1.) f(x)=7(b)^x-2
x=0→f(0)=7(b)^0-2=7(1)-2=7-2→f(0)=5→(x,f(x))=(0,5) Ok

2.) f(x)=-3(b)^x-5
x=0→f(0)=-3(b)^0-5=-3(1)-5=-3-5→f(0)=-8→(x,f(x))=(0,-8) No

3.) f(x)=5(b)^x-1
x=0→f(0)=5(b)^0-1=5(1)-1=5-1→f(0)=4→(x,f(x))=(0,4) No

4.) f(x)=-5(b)^x+10
x=0→f(0)=-5(b)^0+10=-5(1)+10=-5+10→f(0)=5→(x,f(x))=(0,5) Ok

5.) f(x)=2(b)^x+5
x=0→f(0)=2(b)^0+5=2(1)+5=2+5→f(0)=7→(x,f(x))=(0,7) No

Answers:
First option: f(x)=7(b)^x-2
Fourth option: f(x)=-5(b)^x+10 
7 0
3 years ago
70 POINTS HELP ME URGENT SHOW YOUR WORK
Feliz [49]

Answer:

A)

x=  the number of ride tickets

y=  the total cost of admission plus how many ride tickets a person purchases

B)

y= 1.25x + 9.5

C)

It is a$1.25 per ticket for the rides at the fair, so it would be 1.25 multiplied by the amount of tickets that are purchased (x). Spencer bought 17 tickets, so 17x1.25= 21.25 and it says that he spent a total of $30.75 at the fair, so 30.75-21.25=9.5, so that means the cost of admission is $9.50.

Step-by-step explanation:

I hope this helps!

7 0
2 years ago
Simple math my tiny brain can’t understand PLEASE HELP
gogolik [260]

Answer:

if im not mistaken its 143

8 0
2 years ago
Read 2 more answers
5(x+3)-5<br> simplify this.
nignag [31]

Answer:

5x+10

Step-by-step explanation:

Distribute:

=(5)(x)+(5)(3)+−5

=5x+15+−5

Combine Like Terms:

=5x+15+−5

=(5x)+(15+−5)

=5x+10

8 0
3 years ago
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