All categories

4 years ago

What is the measure of A

Mathematics

1 answer:

SCORPION-xisa [38]4 years ago

3 0

Answer:

A. 60°

Step-by-step explanation:

From the diagram, in triangle ABC,

AB=BC=CA=15 units.

This means triangle ABC is an equilateral triangle.

All angles in equilateral triangle are congruent. The sum of all interior angles in triangle is always 180°, so one angle of equilateral triangle is equal to 60°. Thus,

∠A=∠B=∠C=60°

You might be interested in

ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?

MariettaO [177]

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

F (−7, 4),

G (0, 8)

ΔEFG

Solution:

Distance formula

Distance d = $\sqrt{(x_2-x_1)^2 +( y_2-y_1)^2$

Step 1: Finding the length of EF

By using distance formula,

$EF = \sqrt{(-7 - 0)^2 + (4-0)^2}$

$EF = \sqrt{(49) + (16)}$

$EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\$

Step 2: Finding the length of FG

By using distance formula,

$FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}$

Step 2: Finding the length of GE

$GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8$

Thus we could see that the sides EF = FG

So it is a isosceles triangle.

6 0

3 years ago

Which exponential equation is equivalent to the logarithmic equation below? log 478= a

marta [7]

$\hbox{if } \log_x y=z \hbox{ then } x^z=y \\ \\
\log 478=a \\ \downarrow \\
\log_{10} 478=a \\ \Downarrow \\ \boxed{10^a=478}$

The answer is A.

5 0

3 years ago

PLEASE HELP !!! CORRECT ANSWER GETS BRAINLIEST!!!!

shtirl [24]

Answer:

area of this circle: 490.6 inch²

Step-by-step explanation:

area of circle: π(radius)²

Here the diameter is given 25 inch, so the radius will be half: 25/2 → 12.5 in

using the formula:

3.14(12.5)²

490.625 inch²

490.6 inch²____rounded to nearest tenth.

8 0

3 years ago

Read 2 more answers

Place the fractions 3 7 , 1 3 , 2 5 , and 3 8 in order from least to greatest.

eimsori [14]

Answer:

$1/3,$ $3/8,$ $2/5,$ $3/7$

Step-by-step explanation:

$3/7 \approx 0.42857142857$

$1/3 \approx 0.33333333333$

$2/5 = 0.4$

$3/8 = 0.375$

4 0

3 years ago

Read 2 more answers

Tony worked 4 2/3 hours on his science project. Sonia worked 1 1/4 times as long on her science project as Tony did.For how many

kherson [118]

To find how many hours Sonia work on her science project,we can multiply the working hours of Tony by the times Sonia did:

$4 \frac{2}{3} \times 1 \frac{1}{4} \\ = \frac{14}{3} \times \frac{5}{4} \\ = \frac{70}{12} \\ = 5 \frac{10}{12} \\ = 5 \frac{5}{6}$
Therefore Sonia work on her science project for 5 5/6 hours.

Hope it helps!

7 0

3 years ago