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Ann [662]
3 years ago
13

Evaluate. 6[5(3-9)-1]+2 the answer of this divided by the answer of this one 7(8-2)+4

Mathematics
1 answer:
Andru [333]3 years ago
4 0
<span>6[5(3-9)-1]+2
order of operations:
Parentheses
Exponents
Multiplication and Division together
Addition and Subtraction together
</span><span>6[5(3-9)-1]+2
6[5(-6)-1]+2
6[-30-1]+2
6[-31]+2
-186+2
-184

7(8-2)+4
7(6)+4
42+4
46

-184/46
-82/23
about -3.6
</span>
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We know that the diagonals of a rhombus bisect its angles

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∠RUS = ∠TUS

10x - 23 = 3x + 19                      [replacing the given values of the angles]

7x - 23 = 19                                [subtracting 3x from both sides]

7x = 42                                       [adding 23 on both sides]

x = 6                                           [dividing both sides by 7]

<u>Finding ∠RUT:</u>

We can see that:

∠RUT = ∠RUS + ∠TUS

<em>Since we are given the values of ∠RUS and ∠TUS:</em>

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

<em>We know that x = 6:</em>

∠RUT = 13(6)-  4

∠RUT = 74°

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Step-by-step explanation:

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