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2 years ago

10

Which equation represents a linear function? Equation 1: y = 2x2 + 1 Equation 2: y2 = 3x + 1 Equation 3: y = 5x − 1 Equation 4:

y = 4x4 − 1

1 answer:

PSYCHO15rus [73]2 years ago

3 0

Answer:

equation 3 is the right answer

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Need help with inscribed angles If M

Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

In triangle AOB,

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Therefore, the measure of angle AOB is 120 degrees.

6 0

2 years ago

Lynn has a box of crayons.

Scrat [10]

Answer:

<em>There are 72 crayons in the box</em>

Step-by-step explanation:

<u>Fractions</u>

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

$1-\frac{4}{9}=\frac{5}{9}$

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

$\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}$

Thus, the portion of yellow crayons is:

$\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}$

This fraction of x crayons is equal to 14, thus:

$\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}$

x = 72

There are 72 crayons in the box

7 0

2 years ago

yKpoI14uk [10]

0.48 miles

Step-by-step explanation:

Step 1

It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.

Step 2

Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]

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2 years ago

please help! find the scale factor and ratio of perimeters for a pair of similar octagons with areas 64ftsq and 81ftsq. i need t

kati45 [8]

Answer:

the scale factor and the ratio of their perimeters is 8/9

Step-by-step explanation:

k^2=area 1/area 2

k^2=64/81

=square root if k^2=square root of 64/81

=<u>k</u><u>=</u><u>8</u><u>/</u><u>9</u>

4 0

1 year ago

The distribution of the heights of students in a large class is roughly Normal. Moreover, the mean height is 68 inches, and appr

Thepotemich [5.8K]

Answer:

Probably equal to 6 or 7.

Step-by-step explanation:

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2 years ago