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erastovalidia [21]
2 years ago
10

NEED HELP ASAP!!! thank you.

Mathematics
1 answer:
Alex17521 [72]2 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Consider triangles ACM and BCM. In these triangles,

  • m\angle 3=m\angle 4 - given;
  • m\angle 1=m\angle 2=90^{\circ} - definition of perpendicular lines CM and AB;
  • \overline{CM}\cong \overline{CM} - reflexive property.

So,

\triangle ACM\cong \triangle BCM by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).

Two-column proof:

      Statement                                 Reason

1. m\angle 3=m\angle 4                          Given

2. CM\perp AB                        Given

3. m\angle 1=m\angle 2=90^{\circ}       Definition of perpendicular lines CM and AB

4. \overline{CM}\cong \overline{CM}          Reflexive property

5. \triangle ACM\cong \triangle BCM                       ASA postulate

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How many zeros in x^4 + 3x2 + 12
barxatty [35]

Answer:

We know that ,

Number of zeroes in a polynomial = degree of the polynomial

( degree of polynomial = the highest power in the polynomial )

therefore ,

\bold\blue{number \:of \:zeroes \:of\: the \:given} \\\bold\blue{polynomial\: = \:4}

hope helpful~

3 0
2 years ago
5c + 16.5 = 13.5 + 10c c =
olga55 [171]

Answer:

3/5 or 0.6

Step-by-step explanation:

− 5 c + 16.5 = 13.5

− 5 c = − 3

c=3/5

c=0.6

4 0
3 years ago
Solve the inequality. 1/3+x+2/9>5/6
Anettt [7]

Answer:

5⁄18 < x

Step-by-step explanation:

Start by adding like-terms [⅓ and 2⁄9] with 9 being the Least Common Denominator [LCD]. Since 2⁄9 already has a 9 in the denominator, it does not get touched, so in order to make ⅓ a denominator of 9, we simply multiply both terms by 3, to get 3⁄9. So, adding that to 2⁄9 gives you 5⁄9, also giving you <em>5⁄9</em><em> </em><em>+</em><em> </em><em>x</em><em> </em><em>></em><em> </em><em>⅚.</em><em> </em>Now, we have to find the LCD again because we have two unlike fractions. Now, our Least Common Denominator is 18, so multiply both terms in ⅚ by 3 [15⁄18] and multiply both terms in 5⁄9 by 2 [10⁄18]. Now you have two like fractions to work with, and you can clearly see that your answer is <em>x</em><em> </em><em>></em><em> </em>5⁄18. Although the answer is written in reverse, it is still the same concept.

I am joyous to assist you anytime.

4 0
3 years ago
Work out the value of x
Korvikt [17]

Answer:

117 degrees

Step-by-step explanation:

So we already know that one angle is 38 degrees, so we have that one. The angle, 101 is exterior, and we have to subtract 180 from that to get the interior angle. We get a difference of 79. Since the sum of a triangle's interior angles are 180, we have to add 38+79 to get 117. Then, we have to subtract it from 180 to get the value of the interior angle as 63 degrees. Because x is on the outside, we have to again subtract 63 from 180 to get the missing value of x as 117.

6 0
2 years ago
Read 2 more answers
3) Margarita manejó 429 km: 42 en la ciudad y el resto, en la autopista.
12345 [234]

Answer:

Margarita gastó <u>$40.43.</u>

Step-by-step explanation:

Tenemos la siguiente información.

<u>km recorridos por Margarita</u>

42 km - ciudad

387 km - autopista

<u>Rendimiento del carro</u>

1 galon cada 28 km - ciudad

1 galon cada 36 km - autopista

Hacemos el siguiente factor de conversión

<u>Ciudad</u>

42 km \times \frac{1\: galon}{28\: km}=1.5\: galones

<u>Autopista</u>

387 km \times \frac{1\: galon}{36\: km}=10.75\: galones

Ahoa, se sabe que 1 galon cuesta $3.30. Por lo tanto, el costo de viaje será:

Total galones = 1.5 + 10.75 = 12.25 galones

Total costo = 3.30*12.25 = $40.43.

Espero te haya servido!

4 0
2 years ago
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