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3 years ago

Segment QS bisects ∠RQT into two congruent angles measuring (4x-25) and (2x +5) Find m∠RQS

1 answer:

4 0

In order to answer this item, we must note that if the two angles are congruent then, they have the same measures. Therefore, we equate the given expressions,

4x – 25 = 2x + 5

The value of x from the equation is 15. Substituting this value to any of the expression will give us an answer of 35. Thus, a measure of angle RQS is 35 degrees.

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Allie found that 40% of the 170 patients she saw in a week were near-sighted

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68 people she saw that were near-sighted

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3 years ago

For all values of x, x² + 6x - 2 = (x+p)² + q Find the value of p and the value of q.

Vlad [161]

Step-by-step explanation:

${x}^{2} + 6x - 2 = {x}^{2} + 2px + {p}^{2} + q$

$2p = 6$

${p}^{2} + q = - 2$

$p = 3$

${3}^{2} + q = - 2$

$q = - 11$

p=3, q=-11

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2 years ago

Which expression is equivalent to log2 9x^3?

marishachu [46]

Answer:

Option 1 - $\log_{2}(9 {x}^{3} )=\log_{2}(9 ) +3 \log_{2}( {x} )$ - log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x

Step-by-step explanation:

Given : Expression $\log_2(9x^3)$

To find : Which expression is equivalent to given expression ?

Solution :

Expression $\log_2(9x^3)$

Applying logarithmic property, $\log_{a}( MN ) = \log_{a}( M) + \log_{a}( N )$

$\log_{2}(9 {x}^{3} ) = \log_{2}(9 ) + \log_{2}( {x}^{3} )$

Using property, $\log_{a}( { M}^{n} ) =n \log_{a}( { M})$

$\log_{2}(9 {x}^{3} )=\log_{2}(9 ) +3 \log_{2}( {x} )$

i.e. log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x

Therefore, option 1 is correct.

8 0

3 years ago

Read 2 more answers

GEOMETRY PROOFS!

Elis [28]

Given that:

In ∆AMN and ∆TPE

MA = PE (Side )

∠AMN = ∠TPE (angle)

MN = PT (Side)

By SAS Property

∆ MAN =~ ∆ PET

∆ MAN =~ ∆ PET are congruent triangles .

Answer:- ∆ MAN =~ ∆ PET

Additional comment:

SAS Property:-

In two triangles , The two sides and the included angle are equal to the corresponding two sides and the included angle of the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.

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3 years ago

-16 + 3n = -8 - 5n what does n equal?

maksim [4K]

Step-by-step explanation:

-16 + 3n = - 8 - 5n

Bringing like terms on one side

3n + 5n = - 8 + 16