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AnnZ [28]
3 years ago
9

Write an equation in slope-intercept form for

Mathematics
1 answer:
kramer3 years ago
3 0
Thanks for the answer
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Find all values of x that make the triangles congruent. Explain your reasoning.
RSB [31]

Answer:

x = \frac{4}{5},5

Step-by-step explanation:

If both the triangles ΔABC and ΔBCD are congruent,

Corresponding sides of both the triangles will be proportional.

\frac{AB}{BD}=\frac{AC}{CD}

\frac{5x}{3x+10}=\frac{5x-2}{4x+3}

5x(4x + 3) = (5x - 2)(3x + 10)

20x² + 15x = 15x² + 50x - 6x - 20

20x² + 15x = 15x² + 44x - 20

20x² - 15x² = 44x - 15x - 20

5x² = 29x - 20

5x² - 29x + 20 = 0

5x² - 25x - 4x + 20 = 0

5x(x - 5) - 4(x - 5) = 0

(5x - 4)(x - 5) = 0

x=\frac{4}{5},5

3 0
2 years ago
Find the slope and y-intercept of the line that is parallel to y = -x - 3 and passes through the point (3, -2)
motikmotik
Use point slope formula y-y1=m(x-x1)
You are told that y=-x+3. This equation is of the form y=mx+b. Where m=-1. m is the slope. And you have a point (x1,y1) that is (3,-2). With all of this in mind, you then plug all of these details into the point slope formula y-y1=m(x-x1)

In point slope form, you have the following:


y-(-2)=-1(x-3).

To turn this into slope intercept form, simplify y-(-2) to get y+2 and distribute in the -1 to get:

y+2=-x+3

Subtract 2 from both sides to get

y=-x+1

In slope intercept form, the answer is
y=-x+1 and in point slope form, the answer is y+2=-x+3

Hope this helps!!!

3 0
3 years ago
The events committee buys 100 flowers for a school dance. The flowers are a combination of carnations and roses. Each carnation
grandymaker [24]

Answer:

66 carnations and 34 roses

Step-by-step explanation:

.75x + 2.75y = 139

x+ y = 100

im not smart but bear with me:

rewrite the 2nd equation:

x=-y+100

.75(-y+100)+2.75y=139

-.75y+2.75=139-75

2y=64

y=34 ; now substitute this into out 2nd equation

x+y=100

x+ (34) =100

x=100-34

x=66

4 0
3 years ago
What is the volume of a 2 by 4 by 8 rectangular prism?
Vladimir79 [104]

Answer:

64 squared units

Step-by-step explanation:

2 x 4 x 8 = 64

Hope it's correct

3 0
3 years ago
The perimeter of a rectangle given the area and height.
GuDViN [60]

hello :)

so here i am assuming that 66m^2 is the area and the height is 6.3 (sorry, but the way you wrote it is a bit funny, its all good tho)

so to calculate area it is hieght multipled by width

so you have to divide 66 by 6.3, which gives you this very long number : 10.4761904762

i would personally round it to either just 10 or 10.5

so you would want to write the answer as ≈10.5

hope that helped!

i would appreciate it if you voted me as brainliest :)

5 0
3 years ago
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