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Alex787 [66]
3 years ago
9

The figure shown below is a rhombus. Give the angle value (numerical, not the letters.

Mathematics
2 answers:
Archy [21]3 years ago
8 0

Answer:

90 degrees

Step-by-step explanation:

In a rhombus, the middle two diagonal lines ALWAYS are perpendicular. When two lines are perpendicular, that means that the angles have a value of 90 degrees, so angle PXM is 90 degrees.

Rzqust [24]3 years ago
6 0

Answer:

90 deg

Step-by-step explanation:

Recall that for a rhombus, the diagonals always intersect at right angles.

Hence angle PXM is 90 deg

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Estelle drew two parallel lines PQ and R0S intersected by a transversal KL, as shown below: Which theorem could Estelle use to s
Sophie [7]
Angle KMQ and angle RNL are  on apposite sides of the transversal and between above and below (exterior to) the parallel lines, so they are alternate exterior angles.  Theorem - Alternate exterior angles formed by parallel lines and a transversal have the same measure.

8 0
3 years ago
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The annual interest rate of Mike's savings account is 4.8%, and simple interest is calculated monthly. What is the periodic inte
Reptile [31]

The correct option will be: d. 0.4%

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Here, the simple interest is calculated monthly, that means the number of times interest calculated in a year will be 12.

Annual interest rate is 4.8%

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5 0
3 years ago
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Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0
vladimir1956 [14]

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3  = 0.

2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.

5 0
3 years ago
A group of 6p people are renting a vacation house together the price of the rental is 3p to the 2nd power if they split the cost
Tanya [424]
So we just do
cost/number of people=cost per 1 person
so
(6p)/(3p^2)
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easy way is
remember that
(x^m)/(x^n)=x^(m-n)
so
(6p)(3p^2)=6/(3p=2/p=2p^-1


each member pays 2/p

4 0
3 years ago
Which ratio is the same as 2/3?
kompoz [17]

Answer:

6:15 6 to 15 it's the same o

7 0
3 years ago
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