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2 years ago

Which of the following are solutions to the equation below? check all that apply 4x^2-81=0

Mathematics

2 answers:

Sonbull [250]2 years ago

8 0

Answer:9/2 and -9/2

Step-by-step explanation:

i just did it

seropon [69]2 years ago

3 0

Answer:

9/2

Step-by-step explanation:

$4 {x}^{2} = 81 \\ {x}^{2} = \frac{81}{4} \\ x = \frac{ \sqrt{81} }{ \sqrt{4} } \\ x = \frac{9}{2}$

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What is the measurement of ∠BAC and ∠ABC? Explain your process of solving.

Paraphin [41]

Answer:

<BAC = 78

<ABC = 68

Step-by-step explanation:

The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,

<BAC + <ABC = <ACD

Substitute,

(5y + 3) + (4y + 8) = (146)

Simplify,

9y + 11 = 146

Inverse operations,

9y + 11 = 146

-11 -11

9y = 135

/9 /9

y = 15

Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),

<BAC = 5y + 3

5(15) + 3

<ABC = 4y + 8

4(15) + 8

5 0

3 years ago

Anybody know how to do this ?

pogonyaev

Hey there!

The interior angles of a triangle equal 180.

We can use this and the measures of the angles we are given to find the missing interior angle.

50+93=143

180-143=37

Since the missing angle (37) and angle x are supplementary, they add up to 180 as well.

37 + x = 180

180 - 37 = 143

x = 143

Hope this helps!

7 0

3 years ago

Read 2 more answers

4/3C, when C=6<br> show your work here

tresset_1 [31]

4 divided by 3C

If C equals 6, then the equation now looks like 4 divided by 3(6).

3 x 6 = 18.

4 divided by 18 is .22 repeating.

This may be wrong. Check with another answer.

6 0

3 years ago

Read 2 more answers

Can help me complete this problem please :c

motikmotik

Answer:

$A = \dfrac{7}{2}\pi~cm^2$

Step-by-step explanation:

There is a formula for the area of a sector given the radius and the angle measure.

$A = \dfrac{n}{360^\circ}\pi r$

n = angle measure

r = radius

$A = \dfrac{140^\circ}{360^\circ}\pi \times (3~cm)^2$

$A = \dfrac{14}{36}\pi \times 9~cm^2$

$A = \dfrac{7}{18}\pi \times 9~cm^2$

$A = \dfrac{7}{2}\pi~cm^2$

3 0

3 years ago

Read 2 more answers

ABC with altitude \overline{BD}

just olya [345]

The length of $\overline{AC}$ is given by the relationship between the similar triangles

ΔABD and ΔBDC.

$\overline{AC}$ = <u>80</u>

Reasons:

The given parameters are;

The altitude of triangle ΔABD = $\overline {BD}$

The hypotenuse of formed right triangle = $\overline {AC}$

The length of AD = 8

Length of BD = 24

Whereby ΔABD is a right triangle

We have;

ΔABD is similar to ΔBDC

Therefore, by similar triangle proportional sides relationship, we have;

$\displaystyle \frac{\overline{AD}}{\overline{BD}} = \mathbf{ \frac{\overline{BD}}{\overline{DC}}}$

Which gives;

$\overline{BD}^2$ = $\mathbf{\overline{DC} \times \overline{AD}}$

Therefore;

$\displaystyle \overline{DC} = \mathbf{\frac{\overline{BD}^2}{\overline {AD}}}$

$\displaystyle \overline{DC} = \frac{24^2}{8} = \mathbf{72}$

$\overline{AC} = \overline{DC} + \overline{AD}$

Which gives;

$\overline{AC} = 72 + 8 =\mathbf{ 80}$

Learn more about similar triangles here:

brainly.com/question/4618367

8 0

2 years ago