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2 years ago

A triangle has base angles of 52.5 degrees each. What is the measurement of the third angle?

Mathematics

1 answer:

guajiro [1.7K]2 years ago

3 0

Answer:

The answer is 75 degrees

Step-by-step explanation:

All triangles interior angles will at up to 180. 52.5+52.5= 105. 180-105= 75 degrees.

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*A triangle has sides 42, 4x, and 2x−6. What is the possible range of x?

scoray [572]

Answer:

<h2>The Possible range for x is : ]8 , 18[</h2>

Step-by-step explanation:

To can draw this triangle if:

4x - (2x - 6) < 42 < 4x + (2x - 6)

solve inequality 1 :

4x - (2x - 6) < 42 ⇔ 2x + 6 < 42 ⇔ 2x < 36 ⇔ x < 18 (1)

Solve inequality 2 :

42 < 4x + (2x - 6) ⇔ 42 < 6x - 6 ⇔ 48 < 6x ⇔ 8 < x (2)

from (1) and (2) we deduce that : 8 < x < 18

3 0

2 years ago

A taxi fare is $3 and then $0.40 for every kilometre. A taxi fare is $9 . How far has the taxi travelled?

Charra [1.4K]

Answer:

y = 3 + 0.40x

Step-by-step explanation:

Fixed cost of taxi fare = $3

Additional cost = $0.40

Let

y = Total cost

x = number of kilometers

The equation:

Total cost = Fixed cost of taxi fare + (Additional cost * number of kilometers)

y = 3 + 0.40x

8 0

2 years ago

Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot

matrenka [14]

Answer:

$\angle A \cong \angle D$

Step-by-step explanation:

The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.

Thus, since John already knows that $\overline{AB} \cong \overline{DE}$ and $\overline{AC} \cong \overline{DF}$ , therefore, an additional information showing that the angle between $\overline{AB}$ and $\overline{DE}$ in ∆ABC is congruent to the angle between $\overline{AC}$ and $\overline{DF}$ in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be $\angle A \cong \angle D$ .

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.