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3 years ago

Help with #7 and #12

Mathematics

1 answer:

kirza4 [7]3 years ago

4 0

Check the picture below.

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Congruent by identifying all congruent corresponding parts

Gennadij [26K]

Answer:

Corresponding Parts of Congruent Figures. The word corresponding refers to parts that match between two congruent triangles. You can identify corresponding angles and corresponding sides. First, name the corresponding angles.

Step-by-step explanation:

8 0

4 years ago

A certain tennis player makes a successful first serve 6969% of the time. Suppose the tennis player serves 9090 times in a matc

Wewaii [24]

Answer:

a) 4.387

b) Yes, because np & npq are greater than 10.

c) = 0.017

Step-by-step explanation:

Give data:

p = 0.69

n = 90

a) a

E(X) = np = 62.1

$SD(X) = \sqrt{(np(1-p))}$

$=\sqrt{90\times 0.69(1- 0.69)}$

= 4.387

np = 62.1

q = 1 - p = 1 - 0.69 = 0.31

npq = 19.251

Yes, because np & npq are greater than 10.

$P(X \geq 72 ) = P(X > 71.5)$ [continuity correction]

$= P(Z> \frac{((71.5-62.1)}{ 4.387})$

= P(Z> 2.14 )

= 1 - P(Z<2.14)

= 1 - 0.983 (using table)

= 0.017

8 0

4 years ago

What is D of the arithmetic sequence for which a5 equals 24 and a9 equals 40

Gnom [1K]

In an arithmetic sequence d represent the common difference.

The formula to find the general term of an arithmetic sequence is,

$a_{n} =a_{1} +(n-1)d$

Where $a_{n}$ = nth term and

$a_{1}$ = First term.

Given, $a_{5} = 24, a_{9} = 40$ . Therefore,

$a_{1} +(5-1)d = 24 , a_{1} +(9-1)d = 40$

$a_{1} +4d = 24 , a_{1} +8d = 40$

Next step is to subtract the above equations so that we can eliminate a1 and get the value of d. Hence,

4d - 8d = 24 - 40

-4d = - 16

$\frac{-4d}{-4}= \frac{-16}{-4}$ Divide each sides by - 16.

d = 4

So, d = 4.

Hope this helps yoi!.

5 0

3 years ago

Can somebody help me ASAP. I attached a picture.

crimeas [40]

Answer:

Step-by-step explanation:

cot(2x) = 1/(tan(2x))

csc(x) = 1/(sin(x))

cot(2x)/csc(x) = sin(x)/tan(2x)

As x --> 0 this fraction is 0/0 which is an indeterminate form.

Using L'Hopital

Derivatives:

sin(x) ---> cos(x)

tan(2x) ---> 2sec²(2x)

cos(x)/(2sec²(2x))

= ½ as x --> 0

8 0

3 years ago

What is the negative solution to this equation? 4x^2+12x=135

Scrat [10]

Answer:

$-\frac{15}{2}$

Step-by-step explanation:

$\mathrm{Subtract\:}135\mathrm{\:from\:both\:sides}$

$4x^2+12x-135=135-135$

$\mathrm{Simplify}$

$4x^2+12x-135=0$

$x1, 2=−b±√b2−4ac2a For a=4, b=12, c=−135x1, 2=−12±√122−4· 4(−135)2· 4$

6 0

3 years ago