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Tpy6a [65]
3 years ago
12

?.?.?.?.??.?..?.?.???..?..?

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0

Answer:

82

Step-by-step explanation:

Sides AB and BC are equal, which means angle BAC and BCA have the same measure, as stated in the base angles theorem. Angle BAC is 49 degrees, so angle BCA must also be 49 degrees. The sum of all angles in a triangle is 180 degrees, so angles BAC, BCA, and CBA will add up to 180. Write this in an equation:

BAC+BCA+CBA=180

BAC and BCA both measure 49 degrees:

49+49+CBA=180

Solve for CBA

CBA=180-49-49

CBA=82

lmk if i made any errors, hope this helps :)

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Find the point on the plane 4x+3y+z=10 that is nearest to​ (2,0,1). What are the values of​ x, y, and z for the​ point? x= 28 /
MariettaO [177]

Answer:

\frac{1}{\sqrt{26}}.

Step-by-step explanation:

The minimun distance between a point and a plane is the perpendicular distance. The formula is

d = \frac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^{2}+B^{2}+C^{2}}}

where (x_0,y_0,z_0)=(2,0,1), A=4, B=3, C=1 and D=-10. So, the distance is

d = \frac{|8+1-10|}{\sqrt{16+9+1}}

d =  \frac{|-1|}{\sqrt{26}}

d = \frac{1}{\sqrt{26}}.

4 0
3 years ago
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Mkey [24]

Answer:

Width = 18 inches

Length = 59 inches

Step-by-step explanation:

The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions

Perimeter of a rectangle = 2L + 2W

The length of a rectangle is five more than triple the width.

L = Length = 5 + 3W

W = Width

If the perimeter is 154 inches, what are the dimensions

Hence,

154 = 2L + 2W

154 = 2(5 + 3W ) + 2W

154 = 10 + 6W + 2W

Collect like terms

154 - 10 = 8W

144 = 8W

W = 144/8

W = 18 inches

Length = 5 + 3W

Length = 5 + 3(18)

Length = 5 + 54

Length = 59 inches

8 0
3 years ago
The sum of 2 numbers is 16. One is 4 less than 3 times the other number. What are the two numbers?
erastovalidia [21]

Answer:

5 and 11

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

3 0
2 years ago
which is grater,the greatest whole number with 4 digits or the least whole number with 5 digits?explain.
Xelga [282]
The more digits you have the bigger the number, unless you have a long decimal, and in that case only is the number smaller in value.
5 0
3 years ago
Find the volume of the sphere with 3ft
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

V=4/3πr^3

V=1.333×3.14×27ft

V=113.04ft

5 0
3 years ago
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