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2 years ago

State what additional information is required in order to know that the triangles are congruent for the reason given.

Mathematics

2 answers:

STALIN [3.7K]2 years ago

4 0

I believe that would be B! Good luck I hope this helps

Amiraneli [1.4K]2 years ago

4 0

Answer:

B) PQ ≅ VR

Step-by-step explanation:

Reason given:

SAS, side-angle-side

Required information:

Two sides and the included angle

Information given:

∠RQP ≅ ∠QRV
QR ≅ RQ, same side

Addition information needed, the other side, adjacent to given angle:

PQ ≅ VR

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What is the equation of a line with a slope of 7 and a point (1, 8) on the line?

Helen [10]

Answer:

$y=7x+1$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

In this problem we have

$m=7$

$point(1,8)$

substitute and solve for b

$8=7(1)+b$

$8=7+b$

$b=8-7=1$

The equation of the line is equal to

$y=7x+1$

7 0

3 years ago

1.3.12

kondaur [170]

Answer:

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;

X = (x1+x2)/2

6 = (0+x2)/2

cross multiply

12 = 0+x2

x2 = 12-0

x2 = 12

For 2;

Y = (y1+y2)/2

-2 = (2+y2)/2

cross multiply

-4 = 2+y2

y2 = -4-2

y2 = -6

Hence the other endpoint S(x2, y2) is (12, -6)

3 0

2 years ago

Pls alert more points

Natasha2012 [34]

Answer:

It is Commutative property of multiplication.

Have a good day!!

6 0

2 years ago

Helpppp please I don’t know how to do this

alina1380 [7]

Answer:

positive

Step-by-step explanation:

From the number line

x>0 so it is positive

y <0 so it is negative

xy = positive * negative

= negative

-xy = negative * negative

= positive

3 0

2 years ago

Read 2 more answers

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control a

Dafna11 [192]

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = $\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}$

= ${^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}$ + .......+ ${^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}$

= 0.04541 + ......+0.0000002079

= 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076

4 0

2 years ago