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Nookie1986 [14]
3 years ago
5

PLEASE HELP ITS URGENT!! Given: △ABC is isosceles; 1 ≅ 3 Prove: AB || CD

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

Answer:

AB ║ CD. (Proved)

Step-by-step explanation:

See the attached diagram of the triangle.

It is given that Δ ACD is an isosceles triangle.

Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)

Again, given that ∠ 1 = ∠ 3 ........... (2)

Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4

Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.

Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)

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Which real-world story is represented by the addition problem (–2) + (–3) = –5?
tangare [24]

The answer is A.

If the submarine descended then it went below, and if it ascended it went above. Therefore:

"Descended 2 miles"= -2

"Then descended another 3 miles"= -3

(-2)+(-3)=-5

Adding two negatives together will give you a bigger negative so the submarine would then be 5 miles below its original location.

6 0
3 years ago
Explain: What is the solution to this system of equations? <br><br> 2x+y=20 <br> 6x-5y=12
bazaltina [42]

Answer:

solution set is (x,y) = (7,6)

Step-by-step explanation:

solving by substitution method

2x +y=20--------------1

6x-5y=12---------------2

from equation 1, solve for y

2x+y=20

y= 20-2x------equation 3

adding value of y in equation 2

6x-5y=12

6x-5(20-2x)=12

6x-100+10x=12

16x= 12+100

16x= 112

x= 112/16

x=7

adding value of x in equation 3

y= 20-2x

y= 20- 2(7)

y=20-14

y=6

so solution set (x,y) = (7,6)

3 0
3 years ago
Money adding how to do it
Vilka [71]
Basically if you know your addition just add the values of each coin or dollar bill. Just forget about the $ sign or cent sign when adding the values together.
FOR EXAMPLE:
$1 and $2.75
You would ignore dollar sign and add together like normal to get
3.75
But remember to add dollar sign back at the end.
If the value only have 2 values with cents it should be something like
0.54 cents BUT NO DOLLAR SIGN
Hope that helps
7 0
3 years ago
Read 2 more answers
What is the surface area of the cone? Express your answer in terms of π.b
weeeeeb [17]

Given:

Radius of the cone = 5 ft

Slant height of the cone = 21 ft

To find:

The surface area of the cone

Solution:

Surface area of cone formula:

SA=\pi r^{2}+\pi r l

where r is the radius and l is the slant height.

SA=\pi \times 5^{2}+\pi \times 5 \times 21

SA=\pi \times 25+\pi \times 105

SA=25 \pi+ 105 \pi

SA=130 \pi

The surface area of the cone is 130π square feet.

8 0
3 years ago
Translate the phrase into a variable expression.
Viktor [21]

"the product of" ⇒ ___ * ___

86 ⇒ 86 . . . . . fills first blank

and

the depth of the river ⇒ d . . . . . fills second blank.

Your expression is

86 * d

4 0
3 years ago
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