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anzhelika [568]

3 years ago

8

What else would need to be congruent to show that triangle ABC cong Triangle XYX by ASA?

2 answers:

Alex777 [14]3 years ago

8 0

<h3>Answer: First choice. angle C = angle Z</h3>

Explanation:

AC = XZ shows that the horizontal pieces are congruent. This is the "S" of "ASA" as it stands for the pair of congruent sides. We are also given angle A = angle X. This is one of the "A"s in "ASA" as it stands for pair of congruent angles.

What we're missing is the other pair of angles. We must pick C and Z because they help sandwich the two sides mentioned above. ASA has the two angles surrounding the sides; or the sides are between the angles. We can't pick B and Y, unless we were doing AAS which is a similar related idea. The order matters when it comes to ASA and AAS. However, AAS is the same as SAA.

den301095 [7]3 years ago

7 0

Answer:

AC=XZ

so the correct answer is D

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.

DENIUS [597]

Answer:

$\frac{7}{\sqrt{3}}$

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

$d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |$ --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

$d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |$

$d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |$

$d = |\frac{(-7)}{\sqrt{3}} |$

$d = \frac{7}{\sqrt{3}}$

Therefore, the shortest distance from the point to the plane is $d = \frac{7}{\sqrt{3}}$

5 0

3 years ago

Grace drove 240 miles in 4 hours. If she drove at a constant rate, how far did she travel in one hour?

kvasek [131]

Answer:

60

Step-by-step explanation:

240/4

6 0

3 years ago

Read 2 more answers

a cookie recipe calls for 5/8 cup of flour and 5/6 cup of sugar what is the least common denominator of the fractions A 6 B 12 C

serious [3.7K]

I think its 24 because 6*2 equals 12 but you cant multiply 8 by anything to get 12
with 24 6*4 equals 24 and 8*3 equals 24

6 0

3 years ago

Read 2 more answers

Write -2i + (9 - 3i) - (6 - 10i) as a complex number in standard form. 3 - 5i 3 + 5i 3 + 16i 12 - 16i

Ierofanga [76]

Answer:

3 + 5i

Step-by-step explanation:

Given

- 2i + (9 - 3i) - (6 - 10i) ← distribute parenthesis

= - 2i + 9 - 3i - 6 + 10i ← collect like terms

= 3 + 5i

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba-3b%7D%7Ba%2B2b%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D" id="TexFormula1" title="\frac{a-3

choli [55]

Answer:

$a:b = -17:1$

Step-by-step explanation:

Given

$\frac{a-3b}{a+2b} = \frac{4}{3}$

Required

Find a:b

$\frac{a-3b}{a+2b} = \frac{4}{3}$

Cross Multiply

$3(a-3b) = 4(a+2b)$

Open brackets

$3a - 9b = 4a + 8b$

Collect Like Terms

$3a - 4a = 8b+9b$

$-a = 17b$

Divide through by -b

$\frac{-a}{-b} = \frac{17b}{-b}$

$\frac{a}{b} = \frac{17}{-1}$

$\frac{a}{b} = \frac{-17}{1}$

Represent as a ratio

$a:b = -17:1$

5 0

3 years ago