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Phantasy [73]
4 years ago
7

Suppose triangle DEF = triangle WXY. Which choice below shows corresponding parts to congruent triangles that are congruent? Exp

lain your answer. (A) angle E = angle X; DF = XY (B) angle D = angle Y; EF = XY ( C) angle E = angle X; DF = XY; (D) angle F = angle X; DE = WX
Mathematics
1 answer:
Ray Of Light [21]4 years ago
3 0

Answer:

(C )  angle E = angle X; DF = XY

Step-by-step explanation:

a triangle is said to be congruent if SAS(two sides and included angle)

SSS (all the sides are equal), ASA (two angles and an included sides).

therefore,  if angle E and angle X are equal

line DF and line XY are also equal.

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Write an  equation of the line that passes through please (2, -2) and is parallel to line y=3x+9
gayaneshka [121]

Answer: y=3x-8

Step-by-step explanation:

To find the parallel line, you know that the slope must stay the same. If the slope is different, the graphs will touch at one point. This goes against parallel lines as they NEVER touch or cross.

y=3x+b

We can use the given point to find the y-intercept.

-2=3(2)+b             [multiply]

-2=6+b                  [subtract both sides by 6]

b=-8

Now that we have found the y-intercept, we can finish our equation.

y=3x-8

5 0
3 years ago
Which of the following methods would be the easiest to use to solve x^2-11=0 A factoring B isolating the x^2 term and finding th
Marat540 [252]
The answer is B. In this case when you isolate the variable it just takes 2 steps. The others require more steps and tedious calculation.
8 0
3 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.755.75 millimeters and a standard de
svet-max [94.6K]

Let <em>D</em> be the random variable denoting the diameter of this shop's bolts, so that <em>D</em> is normally distributed with <em>µ</em> = 5.75 and <em>σ</em> = 0.07. The top 6% and bottom 6% of bolts have diameters <em>d</em>₁ and <em>d</em>₂ such that

P(<em>d</em>₁ < <em>D</em> < <em>d</em>₂) = P(<em>D</em> < <em>d</em>₂) - P(<em>D</em> < <em>d</em>₁) = 0.94 - 0.06

i.e. <em>d</em>₂ is the 94th percentile and <em>d</em>₁ is the 6th percentile, for which

P(<em>D</em> < <em>d</em>₂) = 0.94

P(<em>D</em> < <em>d</em>₁) = 0.06

Convert <em>D</em> to a random variable <em>Z</em> following the standard normal distribution using

<em>Z</em> = (<em>D</em> - <em>µ</em>) / <em>σ</em>

Then

P(<em>D</em> < <em>d</em>₂) = P((<em>D</em> - 5.75) / 0.07 < (<em>d</em>₂ - 5.75) / 0.07)

0.94 = P(<em>Z</em> < (<em>d</em>₂ - 5.75) / 0.07)

→   (<em>d</em>₂ - 5.75) / 0.07 ≈ 1.55477

→   <em>d</em>₂ ≈ 5.86

P(<em>D</em> < <em>d</em>₁) = P((<em>D</em> - 5.75) / 0.07 < (<em>d</em>₁ - 5.75) / 0.07)

0.06 = P(<em>Z</em> < (<em>d</em>₁ - 5.75) / 0.07)

→   (<em>d</em>₁ - 5.75) / 0.07 ≈ -1.55477

→   <em>d</em>₁ ≈ 5.64

So bolts with a diameter between 5.64 mm and 5.86 mm are acceptable.

4 0
3 years ago
Help ASAP: What is the equation by looking at this graph?
PIT_PIT [208]
If asking for y=mx+b format, the solution would be y=1x+2
8 0
3 years ago
Write 350 as a product of primes. Use index notation when giving your answer
Ksivusya [100]

Answer: 2 x 5 x 5 x 7 = 350. =2¹ x 5²x 7¹

Step-by-step explanation:

4 0
2 years ago
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