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Alex17521 [72]
3 years ago
8

Which statements must be true? Select each correct answer.

Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
4 0
Did you get the answer?
galben [10]3 years ago
3 0
The correct answers were: OM||TU; MN||SU; ST=2ON
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HELP PLEASE <br> solve the right triangle
aleksandrvk [35]

Answer:

Part 1) FG=4.4\ units

Part 2) EF=3.9\ units

Part 3) m\angle G=63^o

Step-by-step explanation:

step 1

Find the measure of length side FG

In the right triangle EFG

we know that

sin(27^o)=\frac{GE}{FG} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(27^o)=\frac{2}{FG}

FG=\frac{2}{sin(27^o)}=4.4\ units

step 2

Find the measure of length side EF

In the right triangle EFG

we know that

cos(27^o)=\frac{EF}{FG} ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

cos(27^o)=\frac{EF}{4.4}

EF=cos(27^o)(4.4)=3.9\ units

step 3

Find the measure of angle G

we know that

m\angle G+27^o=90^o ---> by complementary angles in a right triangle

m\angle G=90^o-27^o=63^o

7 0
4 years ago
If 12 men can sew 180 shirts in 5 days how long will it take for 15 men to sew 180 shirts
erica [24]

Answer:

12 days

Step-by-step explanation:

5 0
3 years ago
At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be twice as long as
sasho [114]

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border

we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

P <=180 ft

(2x+2y) <= 180-------> equation 2

substitute the equation 1 in equation 2

2*[5+y]+2y <= 180

10+2y+2y <= 180

4y <= 180-10

4y <=170

y <=42.5 ft

so

the maximum value of the width is 42.5 ft

for y=42.5 ft

x=42.5+5------> x=47.5 ft

the answer is

the width of the border is less than or equal to 42.5 ft

7 0
4 years ago
Find the area of each figure, round to the nearest tenth if necessary.USE 3.14 for pi
Nina [5.8K]

Answer:

11 is 405, 12 is 107.5, 13 im not sure of

Step-by-step explanation:

First on 11 you can just do 21*21 (the big square) and subtract that by 36 (which is 6*6, the small square), you'll get 107.5.

Then on 12, it is made up of a large rectangle, a small triangle, and a flatter triangle. The top triangle's formula is 1/2(7*3) which = 10.5. The big rectangle is 13*7 = 91. The last triangle is 1/2(4*3) which = 6. It is 3 because 13-10. Add all those up and you should get 107.5.

And I just want to know on number 13 if that 11 is the radius or diameter. I can't seem to tell.

7 0
3 years ago
Read 2 more answers
An examination consisting of ten true-or-false questions was taken by a class of 100 students. The probability distribution of t
Grace [21]

Answer:

The height of this rectangle is 8/10

Step-by-step explanation:

Please see attachment .

4 0
3 years ago
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