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ivolga24 [154]
3 years ago
6

In ΔEFG, the measure of ∠G=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ∠F?

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0

Answer:

sinF = \frac{11}{61}

Step-by-step explanation:

sinF = \frac{opposite}{hypotenuse} = \frac{EG}{FE} = \frac{11}{61}

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What value ofx is in the solution set of 3(x-4)>5x +2?
kvv77 [185]

\boldsymbol{\sf{3(x-4) > 5x +2 }}

Use the distributive property to multiply 3 by x−4.

\boldsymbol{\sf{3x-12 > 5x+2 }}

Subtract 5x on both sides.

\boldsymbol{\sf{3x-12-5x > 2 } }

Combine 3x and −5x to get −2x.

\boldsymbol{\sf{-2x-12 > 2 }}

Add 12 to both sides.

\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}

\boldsymbol{\sf{-2x > 14}}

Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.

\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}

\boxed{\boldsymbol{\sf{x < -7 }}}

So in the <u>inequality 3(x-4)>5x +2</u>, the value of x is -7.

ヘ( ^o^)ノ\(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:

  • brainly.com/question/17070130
8 0
1 year ago
⚠URGENT!!!⚠ <br><br> solve for m.
Zinaida [17]

Answer:

Step-by-step explanation:

Remark

Read the following carefully.

There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.  

To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.

For this problem <BDC = <CAB = 33 degrees.

That means that ADC = 37 + 33 = 70

Solution

<ADC and CBA are opposite angles.

That means that they add to 180

From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71

<ABC + ADC = 180

m + 71 + 70 = 180        Combine

m + 141 = 180               Subtract 141 from both sides.

m+141-141= 180 - 141    Combine

m = 39

Answer: m = 39

3 0
1 year ago
The table to the right shows selected ages of licensed drivers in one country and the corresponding percentiles. Find the percen
PolarNik [594]

Answer:

66%

Step-by-step explanation:

Given :

Age          Percentile

75           97

65           90

55           78

45           58

35           37

25           13

20           66

To Find :The percentage of drivers who are younger than 20 is _____%.

Solution:

Refer the given table

The percentile corresponding to age 20 is 66.

Percentile : A data item is said to be in nth percentile of distribution if n% of the distribution are less than that particular data item.

So, drivers who are younger than 20 are said to be in 66 percentile if 66%of the distribution are less than that particular data item.

Hence The percentage of drivers who are younger than 20 is 66%.

7 0
3 years ago
Read 2 more answers
Please Show Work 6x(-4) Six times negative four.
Ainat [17]

Answer:

6 x (-4)

= (-24)

Step-by-step explanation:

when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.

NOTE: if a number doesn't have a sign, it's a positive number

7 0
3 years ago
How do i do this ?i need help on finding the answer . To all three questions
Igoryamba

Answer:

area of larger circle : 9π = 28.27

area of smaller circle: 4π = 12.57

area of shaded region: 15.71

Step-by-step explanation:

area of a circle = πr^2

I think these are right i dont know tho

8 0
3 years ago
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