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Anton [14]
2 years ago
13

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

Mathematics
2 answers:
12345 [234]2 years ago
5 0

Answer:

choice 1 and choice 5 are the answers

Maksim231197 [3]2 years ago
4 0

Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE  are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.

Step-by-step explanation:

Given: ΔXYZ and ΔEFG such that ∠X=∠F

To prove they are congruent by using ASA or AAS conruency criteria

we need only one angle and side.

1. ∠Z ≅ ∠G(angle) and XZ ≅ FG(side)

so we can apply ASA  such that ΔXYZ ≅ ΔFEG.

2. ∠Z ≅ ∠G (angle)and ∠Y ≅ ∠E (angle), we need one side which is not present here.∴we can not apply ASA  such that ΔXYZ ≅ ΔFEG.

3. XZ ≅ FG (side) and ZY ≅ GE (side), we need one angle which is not present here.∴we can not apply ASA  such that ΔXYZ ≅ ΔFEG.

4. XY ≅ EF(side) and ZY ≅ FG(side), not possible.

5. ∠Z ≅ ∠G(angle) and XY ≅ FE(side),so we can apply ASA  such that

ΔXYZ ≅ ΔFEG.

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An angle t is drawn from the center of the unit circle. Find a formula in terms of t for the straight line distance d between th
Doss [256]

Answer:

d = \sqrt{2}\cdot \sqrt {1-\cos t - \sin t}

Step-by-step explanation:

Let suppose that one of the radii meets the circle at the point (1,0). The straight line distance formula is:

d = \sqrt{(\cos t - 1)^{2}+(\sin t - 1)^{2}}

d = \sqrt{(\cos^{2}t - 2\cdot \cos t + 1)+(\sin^{2}t - 2\cdot \sin t + 1)}

d = \sqrt{2-2\cdot (\cos t + \sin t )}

d = \sqrt{2}\cdot \sqrt {1-\cos t - \sin t}

5 0
1 year ago
A drawing of a surfboard in a catalog shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/2 inch leng
jonny [76]
3/8 of a foot = 3/8 x 12/1  or 4  1/2 inches

So our 1/2 inch grows by a factor of 9  because 4 1/2 ÷ 1/2 = 9  Think how many 1/2 dollars are in 4  1/2 dollars.  (Answer is 9)

So our 8 4/9 in the catalog has to grow the same

8  4/9   x 9  = 8  4/9  x 9/1 = 76/9 x 9/1  or 76 inches which is 6 ft 4 inches.
(76 ÷12 = 6 r4)

6 0
1 year ago
Find two complex numbers that have a sum of i10 a different of -4and a product of -29​
lianna [129]
<h2>-2+5i and 2+5i</h2>

Step-by-step explanation:

   Let the complex numbers be a+ib\textrm{ and }c+id.

Given, sum is 10i, difference is -4 and product is -29.

(a+c)+i(b+d)=10i ⇒ a+c=0,b+d=10

(a-c)+i(b-d)=-4 ⇒ a-c=-4,b-d=0

a=-2,c=2,b=5,d=5

(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29

Hence, all three equations are consistent yielding the complex numbers -2+5i\textrm{ and }2+5i.

8 0
1 year ago
A social media platform states that a social media post from a marketing agency has 7 hashtags, on average. A digital marketing
dimaraw [331]

Answer:

a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.

Step-by-step explanation:

A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.

This means that at the null hypothesis, we test if the mean is 7, that is:

H_0: \mu = 7

A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform.

Keyword is different, so at the null hypothesis, we test if the mean is different of 7, that is:

H_1: \mu \neq 7

Thus, the correct answer is given by option a.

4 0
1 year ago
What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) ,
svet-max [94.6K]
Area of a rectangle = W X L
Area of a rectangle = 5 X 2
Area of a rectangle = 10

Area of triangle 1= 1/2 X B X H
Area of triangle 1= 1/2 X 2 X 2
Area of triangle 1= 1/2 X 4
Area of triangle 1= 2

Area of triangle 2= 1/2 X B X H
Area of triangle 2= 1/2 X 7 X 4
Area of triangle 2= 1/2 X 28
Area of triangle 2= 14

Area of a rectangle + Area of triangle 1 + Area of triangle 2=

10 + 2 + 14 = 36

7 0
1 year ago
Read 2 more answers
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