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IceJOKER [234]
2 years ago
9

1. What does the mark of the angles and sides of the triangle indicate?

Mathematics
1 answer:
Greeley [361]2 years ago
3 0

2. You see them in your face:

\displaystyle m∠F ≅ m∠C;$\overline{FD}$ ≅ $\overline{CA}$

m∠E ≅ m∠B;$\overline{FE}$ ≅ $\overline{CB}$

m∠D ≅ m∠A;$\overline{ED}$ ≅ $\overline{BA}$

To sum up, <em>corresponding parts of congruent triangles are always congruent</em> [<em>CPCTC</em>].

1. The edge and angle markings of both triangles represent all corresponding parts. Each angle and edge corresponds with another angle and edge.

I am joyous to assist you at any time.

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In a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappr
MA_775_DIABLO [31]

Answer:

Test statistic Z = p diff/std error = 2.3333

p value one tailed = 0.009815

Step-by-step explanation:

Given that in a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappropriately.

Sample size n = 2755

Sample favourable x = 967

Sample proportion p = \frac{967}{2755} \\=0.3510

H_0: p = 0.3333\\H_a: p >0.3333

(right tailed test at 5% significance level)

p difference = 0.0210

Standard error assuming H0 is true is \sqrt{\frac{0.3333*0.6667}{2755} } \\=0.0090

Test statistic Z = p diff/std error = 2.3333

p value one tailed = 0.009815

Since p <0.05 we reject null hypothesis.

6 0
3 years ago
A cylindrical package with half a hemisphere to be sent by a postal service can have a maximum combined length (height of the cy
artcher [175]

Answer:

36 x 18 x 18

Step-by-step explanation:

By Lagrange multiplier's method,

∇f(x,y,z)= λ∇g(x,y,z) & g(x,y,z)=k

considering x,y,z as three unequal sides of the box

f(x,y,z)=xyz

If x represents the length, then constraint condition is g(x,y,z)= x + 2(y+z) =108

We have the following three equations:

yz= λ -->eq(1)               fx= λgx

xz=2λ -->eq(2)              fy=λgy

xy= 2λ -->eq(3)             fz=λgz

x+2y+2z=108-->eq(4)

Dividing eq(2) by eq(1), we'll have

x / y =2

=> x= 2y

Also, by using eq(2)and eq(3), we can represent y=z

By substituting 'x= 2y' and 'y=z' in eq(4), we have

eq(4)=>

2y+ 2(y+y)= 108

y=108/6

y=18

<u>For x: </u> x=2y=> 2(18)=>36

<u>For z: </u>z= y = 18

Therefore, the dimensions are 36 x 18 x 18

5 0
3 years ago
Read 2 more answers
Mr. Hall deposited money into an account in which interest is compounded quarterly at a rate of 2.6%. How much did he deposit if
Amanda [17]
The formula of this equation would be x_{0}* 1.026^16 = 7,160.06
So from this equation we know that x_{0} =  \frac{7,160.06}{1.026^{16} }
Now we need to find the value of x, we need to multiply x_{0} * 1.026 16 times. Which will bring us to your answer. $4,748.53
8 0
3 years ago
Is y=11x porportional or not
agasfer [191]

Answer:

It is

Step-by-step explanation:

  • y=11x\\\frac{y}{x} =11
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After I substitute in y how do I determine the coordinate(s)?
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Simplifying both sides of the equation then isolating the variable
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