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3 years ago

5

Given the following two statements, is the compound statement valid? p: Two angles are congruent. q: The angles are vertical Com

pound statement: If two angles are congruent then the angles are vertical.

1 answer:

maw [93]3 years ago

5 0

No, this is not valid. In the picture below, $\angle a$ is a vertical angle with $\angle b$ . But $\angle a$ is not $\cong \angle b$

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Hi, need help with solving this logarithm.

vfiekz [6]

Answer:

$\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})$

Step-by-step explanation:

Given

$\log 8 - \log x + 7\log\sqrt x$

Required

Express as a single expression

We have:

$\log 8 - \log x + 7\log\sqrt x$

Write 7 as an exponent

$\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(\sqrt x)^7$

Rewrite as:

$\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(x^{\frac{1}{2}})^7$

$\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log x^\frac{7}{2}$

Apply quotient and product rule of logarithm

$\log 8 - \log x + 7\log\sqrt x =\log (\frac{8*x^\frac{7}{2}}{x} )$

Apply law of indices

$\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7}{2} - 1})$

Solve exponent

$\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7-2}{2}})$

$\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{5}{2}})$

$\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})$

8 0

3 years ago

There are 176 slices of bread in 8 loaves

Sphinxa [80]

Answer:

110

Step-by-step explanation:

Divide 176 by 8 to get 22 and then multiply 22 by 5 to get 110

3 0

3 years ago

Read 2 more answers

What is the value of x in the equation 9/10(x+2/3)=41/2

Nostrana [21]

Answer:

<h2><u>X= 22.111</u></h2><h2 />

Step-by-step explanation:

<u>Standard form:</u>

9/10x − 199/10 = 0

<u>Factorization:</u>

1/10(9x − 199) = 0

<u>Solutions:</u>

x = 597/27 ≈ 22.111111

3 0

3 years ago

You randomly select an integer from 0 to 39 (inclusively) and then randomly select an integer from 0 to 4 (inclusively). What

lara31 [8.8K]

Answer: 6/40 or 15% chance

Step-by-step explanation:

0-39 is a 40 number ratio so chances of getting 2 are 1/40

0-4 is a 5 number ratio so chances of getting 2 are 1/5
you want common denominators so mulriuplethe top and bottom of 1/5 by 5 giving us 5/40
5/40 + 1/40= 6/40

7 0

3 years ago

Am I right?? I just need this one and another one!! need it asap! sorry if this is bothering you.

Elden [556K]

Answer:

No

Step-by-step explanation:

The correct answer is y = 3x, where y is the total cost and x is the number of pounds of oranges purchased.

5 0

2 years ago