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2 years ago

What theorem can be used to prove these triangles are congruent?

Mathematics

2 answers:

fredd [130]2 years ago

8 0

Answer:

Step-by-step explanation:

The supplement theorem

Evgen [1.6K]2 years ago

7 0

Answer:

wakaranai

Step-by-step explanation:

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–2x + 2y = -4 3х + Зу = -18

rodikova [14]

Answer:

(-2, -4)

Step-by-step explanation:

–2x + 2y = -4

3х + Зу = -18

Divide the first equation by 2

–2x/2 + 2y/2 = -4/2

-x +y = -2

Divide the second equation by 3

3х/3 + Зу/3 = -18/3

x + y = -6

Add these equation together

-x +y = -2

x + y = -6

-------------------

0x + 2y = -8

2y = -8

Divide each side by 2

2y/2 = -8/2

y = -4

Now we need x

x+y = -6

x-4 = -6

Add 4 to each side

x-4+4 = -6+4

x = -2

3 0

3 years ago

15 POINTS!!!!!!! What is the equation of the line in slope-intercept form? Line on a coordinate plane. Line runs through points

suter [353]

Answer:

$y=\frac{4}{3}x+4$ is the equation of line in slope intercept form.

Step-by-step explanation:

Line runs through points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 0 comma 4.

First ordered pair: (-3,0)

Second ordered pair: (0,4)

We have two points and need to find equation of line in slope intercept form

$\text{Slope (m)}=\dfrac{y_2-y_1}{x_2-x_1}$

$\text{Slope (m)}=\dfrac{4-0}{0-(-3)}=\dfrac{4}{3}$

y-intercept, when x=0 , (0,4)

Equation of line in slope intercept form:

y=mx+b

where, $m=\frac{4}{3}$ and b=4

Required equation:

$y=\frac{4}{3}x+4$

Thus, $y=\frac{4}{3}x+4$ is the equation of line in slope intercept form.

3 0

3 years ago

Read 2 more answers

Check all that apply please

love history [14]

As, synthetic division by -4 gives remainder 0. Hence, Option B is correct. -4 is a root of $3x^{2} +7x-20$

As, x+4=0 gives x=-4.

So, option C is correct,

(x+4) is factor of $3x^{2} +7x-20$

Option E is correct

$\frac{3x^{2} +7x-20 }{x+4}=3x-5$

3 0

2 years ago

To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil

Fiesta28 [93]

Answer:

The sample has not met the required specification.

Step-by-step explanation:

As the average of the sample suggests that the true average penetration of the sample could be greater than the 50 mils established, we formulate our hypothesis as follow

$H_0$ : The true average penetration is 50 mils

$H_a$ : The true average penetration is > 50 mils

Since we are trying to see if the true average is greater than 50, this is a right-tailed test.

If the level of confidence is α = 0.05 then the $z_\alpha$ score against we are comparing with, is 1.64 (this is because the area under the normal curve N(0;1) to the right of 1.64 is 0.05)