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IrinaK [193]
3 years ago
8

Given the points: O (0,0), A(0,4), B (3,0), C(-4,0), and D (0,y). Find two values of y so that ΔOBA ≅ ΔODC. (Hint: make sure you

draw a picture) List them in order from smallest to largest.
Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Answer: -3 and 3

Step-by-step explanation: You first find the area of OBA which is 6, then you plot points that make a triangle that is congurent to 6. I fond that since there was a length of 4 in both, I simply went up three on the y-axis and down three on the y-axis. Sorry for the bad explanation but this is all I knew.

You might be interested in
If the blue radius below is perpendicular to the green chord and the segment BC is 7.6 units long, what is the length of the cho
galina1969 [7]

Answer:

The correct answer is A. 15.2 units

Step-by-step explanation:

The segment AB is congruent to the segment BC  eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC  => AB+BC=AC,  which is chord  => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!


6 0
3 years ago
PLEASE PLEASE PLEASE PLEASE HURRY I ONLY HAVE 59 MINUTES LEFT REEEEEE
KengaRu [80]

Answer:

The second and fourth one

Step-by-step explanation:

The open circle means more/less than or equal to and the closed circle is only more than or less than and it is greater so it goes right

3 0
3 years ago
Solve the expression x^2-100=0
enot [183]

Answer:

x = ± 10

Step-by-step explanation:

Given

x² - 100 = 0 ( add 100 to both sides )

x² = 100 ( take the square root of both sides )

x = ± \sqrt{100} ← note plus or minus, hence

x = ± 10

6 0
3 years ago
Solve the quadratic equation by factoring: 15x^2+4x-4=0
joja [24]
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

5x(3x+2) - 2(3x+2)

3x+2 is one of our factors and 5x-2 is the other.

(3x+2)(5x-2)=0

Now just find the zeros.

3x+2 = 0
3x = -2
x = -2/3

And

5x-2 = 0
5x = 2
x = 2/5

So the answer is x = -2/3 and x = 2/5






7 0
3 years ago
Find last year's salary if, after a 5% pay raise, this year's salary is $36,225.
Nataly [62]

Answer:

$34500

Step-by-step explanation:

In order to reverse a 5% pay raise, divide by 1.05.

36225/1.05=34500

6 0
3 years ago
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