Examine the diagram. What is the m

Mathematics

2 answers:

Phantasy [73]3 years ago

5 0

Answer:

Step-by-step explanation:

Sum of all the angles of a triangle = 180°

∠A + ∠B + ∠C = 180°

48 + ∠B + 56 = 180

∠B + 104 = 180

∠B = 180 - 104

∠B = 76°

Anvisha [2.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

if you mean find angle b

then you do 48 + 56 to get 104

then take 104 from 180 to get 76

and b is 76 degrees

hope this helps :)

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The lengths of the diagonals of a rhombus are 4x and 8x. What algebraic expression gives the perimeter of the rhombus?

Marizza181 [45]

Answer:

Approximately 17.88x or $8x\sqrt{5}$

Step-by-step explanation:

Use pythagorean formula. In a rhombus the diagonals bisect each other and they are perpendicular, so you could have a right triangle with legs of 2x and 4x, the hypoteneuse would then be $\sqrt{(2x)^{2} +(4x)^{2} }= \sqrt{4x^{2} +16x^{2}}$ which is approximately 4.47x. In a rhombus all 4 sides are the same, so multiply that by 4 and you get the perimeter. 4(4.47x) = 17.88x or if you simplify the radical instead it's $8x\sqrt{5}$