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stiv31 [10]
3 years ago
8

30 POINTS!! Which construction correctly shows how to bisect ∠X?

Mathematics
2 answers:
tangare [24]3 years ago
8 0
 yes  sure it is c  right 

ira [324]3 years ago
4 0
I'm not sure but I would go with c
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Factor to find the zeros of the function defined by the quadratic expression. −7x2 − 91x − 280
Mariulka [41]
There are no zeroes for an expression, only for equations.
Assuming equation to be
<span>−7x^2 − 91x − 280=0
-7(x^2+13x+40)=0
-7(x+8)(x+5)=0
by the zero product properties, 
x+8=0 => x=-8
or 
x+5=0 => x=-5</span>
3 0
3 years ago
Given: ∠AOC, ∠BOC - complementary angles
34kurt

Answer:

  • 30
  • COB . . . . or . . . . BOC

Step-by-step explanation:

The reason given on the line of interest is "substitution," so the problem boils down to determining what was substituted for what. The previous statement says ...

  AOC + COB = 90

and the first part of the statement we're to complete has BOC + ___.

We see from the given statements that m∠AOC = m∠BOC + 30°, so it appears that is the substitution that has been made: AOC has been replaced by BOC + 30.

This means the first blank is filled with 30.

__

The second part of the previous statement is ...

  AOC + COB = 90

so we believe this (COB) should go in the second blank.

__

Then the line of interest would read ...

  BOC + 30 + COB = 90

_____

<em>Comment on the problem</em>

There is a curious mix of notations here. Usually, (as in the beginning of this problem) we refer to the measure of an angle using "m∠" in front of the angle designator, and we use a degree symbol to indicate the units of that measure. Part-way through the problem statement written here, those notations were dropped, and we're to assume they are intended. IMO, this is a poor way to demonstrate careful problem solving.

The substitution given for AOC is BOC+30, but the line into which that is substituted has AOC +COB = 90. This means the equation after substitution is ...

  BOC +30 +COB = 90

Since BOC and COB are the same angle, we can sort of fudge the "algebra" to get to  BOC=30, but if the problem were more carefully written, the angle would be referred to by consistent nomenclature:

  m∠AOC + m∠BOC = 90° . . . . . . . . . preferred angle designations

  (m∠BOC + 30°) + m∠BOC = 90° . . . . substitution for m∠AOC

  2(m∠BOC) = 60° . . . . . . algebra (subtract 30°, collect terms)

  m∠BOC = 30° . . . . . . . . algebra (divide by 2)

3 0
3 years ago
You borrowed $25 from your friend. You paid him back in full after 6 months. He charged $2 for interest. What was the annual sim
Paraphin [41]
\bf \qquad \textit{Simple Interest Earned}\\\\&#10;I = Prt\qquad &#10;\begin{cases}&#10;I=\textit{interest earned}\to &\$2\\&#10;P=\textit{original amount}\to& \$25\\&#10;r=rate \\&#10;t=years\to &\frac{1}{2}&#10;\end{cases}

bearing in mind, "t" is in years, 6months is just 1/2 year

solve for "r", you'd get a decimal amount, multiply times 100, to get the percentage form
5 0
3 years ago
Read 2 more answers
a fan is marked up 40% on the original price. The original was $20. What is the new price of the fan before sales tax?
Iteru [2.4K]
100/40×20.
100/40=2•5
2•5×20=50
the answer is 50
6 0
3 years ago
Need help finding the value of x and y
kap26 [50]

Answer:

The values of x = 12 and y = 8.

Step-by-step explanation:

From the given figure ,

ΔMTW≅ΔBGK

That is, these two triangles are congruent.

If two triangles are congruent , all the corresponding angles and corresponding sides are equal.

Congruency is different from similarity . Similarity means two triangles which are the same with different dimensions.

Therefore , ∠MTW = ∠BGK

                     (4x - 3)° = 45°

                       4x = 48°

                         x = 12

Since ∠MTW = 45° ,

∠TMW = 180 - (41 +45)

              = 180 - 86

              =94°

From congruency ,

∠TMW = ∠GBK

94° = 11y + 6

11y = 88°

y = 8

4 0
3 years ago
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