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Effectus [21]
4 years ago
8

Solve this two-column proof! (25 pts!) I already solved one an two

Mathematics
1 answer:
melamori03 [73]4 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

    Statement               Reason

1.     WZ\parallel XY               Given

2.    WX\parallel ZY               Given    

3.    WZ\cong XY              Parallelogram property (opposite sides are parallel and congruent)

4.    WX\cong ZY              Parallelogram property (opposite sides are parallel and congruent)  

5.   XZ\cong XZ                Reflexive property

6.   \triangle WXZ\cong \triangle XYZ   SSS postulate

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Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se
Slav-nsk [51]

Answer:

-0.6309

Step-by-step explanation:

Using the change of base formula,

Log 1/2 to base 3 = Log1/2 ÷ Log 3 = Log 0.5 ÷ Log 3

Log 0.5 = -0.3010

Log3 = 0.4771

Log 0.5 ÷ Log 3 = -0.3010 ÷ 0.4771 = -0.6309

5 0
4 years ago
If possible, factor 9x2 − 625y2.
Igoryamba

Answer:

(3x - 25y)(3x + 25y)

Step-by-step explanation:

9x² - 625y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Given

9x² - 625y²

= (3x)² - (25y)²

= (3x - 25y)(3x + 25y)

3 0
4 years ago
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Find the angle between u = (8.- 3) and v = (-3,- 8) Round to the nearest tenth of a degree.
Nimfa-mama [501]

Answer:

<h2>90°</h2>

Step-by-step explanation:

First you must calculate the module or the magnitude of both vectors

The module of u is:

|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544

The module of v is:

|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544

Now we calculate the scalar product between both vectors

u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0

Finally we know that the scalar product of two vectors is equal to:

u*v = |u||v|*cos(\theta)

Where \theta is the angle between the vectors u and v. Now we solve the equation for \theta

0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°

the answer is 90°

Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °

5 0
4 years ago
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Math problem please help
Vesna [10]

Monday and Tuesday are the correct answers due to the negative number being lower than -1.75 F

5 0
3 years ago
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Use the drop down menus to describe the relationship between the number of teaspoons and number of tablespoon
Keith_Richards [23]

Answer:

From the given picture we can see that , 3 teaspoons = 1 table spoon.....(1)

or 3t=b..(2)

6 teaspoon= 2 tablespoon or 6t=2b

9 teaspoon= 3 table spoon or 9t=3b

Therefore the ratio of teaspoon to tablespoon t:b= 3:1...........(from (1))

Now, 1 tea spoon=\frac{1}{3}\ tablespoon..............[divide 3 on both sides of (1)]

or t=\frac{1}{3}b

The equation to show the relation between teaspoons and table spoon is given by (2)

3t=b

6 0
3 years ago
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