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BaLLatris [955]
3 years ago
8

Which choice is equivalent to the expression below?

Mathematics
1 answer:
enyata [817]3 years ago
3 0

Answer: B

Step-by-step explanation:

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Find m <br> Help, I really don't understand this
Irina18 [472]
m\angle B=m\angle C\\&#10;m\angle C=180-100=80 \Rightarrow m\angle B=80
3 0
3 years ago
Read 2 more answers
PLS BRANLIEST
Neko [114]

Dilation is the process in which the dimensions of a given shape is increased or decreased by a scale factor. Therefore the answers to the questions are:

A. Since the dilation of triangle XYZ do not affect the measure of its internal angles, then the trigonometric ratios of respective internal angles are the same.

B. segment CB = 10

ii. segment AB = 11.18

From the given information in the question, triangle XYZ is an image of triangle ACB. In triangle XYZ, given that Sin X = ; it implies that its hypotenuse is 5.59, and the opposite side as 5. So that;

Sin X =

X =  0.8945

X  =

Thus,

<X + <Y + <Z =

+  + <Z =

<Z =  -

   =

<Z =

So then, the third side can be determined by applying the Pythagoras theorem.

=  +

=  +

=  -

  = 6.2481

x =

 = 2.49962

x = 2.5

Thus,

Cos X =

          =

Cos X =

Tan X =

         =

Tan X =

Therefore:

A. Considering triangles XYZ and ACB, the measure of their respective internal angles are the same.

i.e <X ≅ <A

   <B ≅ <Z

   <C ≅ <Y

So that the trigonometric ratios of respective internal angles are the same.

B. Given that triangle XYZ was dilated by a scale factor of 2, then the respective length of each sides of triangle ACB is twice that of XYZ.

Then,

i. segment CB = 2 x segment YZ

                    = 2 x 5

segment CB = 10

ii. segment AB = 2 x segment XZ

                       = 2 x 5.59

segment AB = 11.18

8 0
2 years ago
Please help !!!!!!!!!
givi [52]

Answer:

The angle between the ramp and the horizontal is 11.54 degrees

Step-by-step explanation:

Here, we want to get the angle between the ramp and the horizontal

What we have to do here is to bring the measure of 2 m near to the edge leftwards, so we can have a right triangle

Now, the angle we want to calculate is the angle that faces the measure 2 m

The given measure of 10 m will represent the hypotenuse of the right triangle

The trigonometric ratio that links the hypotenuse and the opposite is the sine

The sine is the ratio of the opposite to the hypotenuse

Thus, we have it that;

sin theta = opp/hyp

sin theta = 2/10

sin theta = 0.2

theta = sin^-1 0.2

theta = 11.54

4 0
2 years ago
A tree makes a shadow that is 14 ft long. Rachel is 6 ft tall. when she id standing near the tree, her shadow is 3.5 ft long. wh
ankoles [38]
The triangle that is formed from by connecting the shadow, the tree and the endpoints of each is a right triangle. The two triangles formed (by the tree and its shadow, and by Rachel and her shadow) are similar. In similar triangles, the corresponding sides are proportional. Thus, to give the numerical answer to this item,
                         length  of the tree/14 ft = 6 ft / 3.5 ft
                                  length of the tree = 24 ft
5 0
3 years ago
How many inches is 15 miles
Inessa [10]
63360in=1mile
So 63360x15=950400in 

The answer is 950400in in 15miles

Hope this helped!
8 0
3 years ago
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