D) Definition of Equilateral Triangle
e) Vertical Angles
f1) ΔTVS <span>≅ </span>ΔUVR
f2) Side Angle Side Postulate
g) Definition of Congruent Triangles

Hope that helps!

4 0

3 years ago

What is the simplest form of 4/7+1/3=

Serggg [28]

Answer:

19/21 or .90

Step-by-step explanation:

Common denominator.

Multiply 4/7 by 3 which equals to 12/21

Multiply 1/3 by 7 which equals to 7/21

Add 12/21 and 7/21

Answer: 19/21

3 0

2 years ago

your brother is 1.3 your age. your sister is 6 years older tahn your brother.Your sister is 10 years old. Write and solve a equa

Papessa [141]

Answer:

My age is 12 years.

Step-by-step explanation:

Given:

Sister's age = 10 years

Let my age be x.

Now according to question;

my brother's age is 1/3 of my age

So brother's age = $\frac{1}{3}x$

Also according to question;

my sister is 6 years older than my brother;

Sister's age = $6+\frac{1}{3}x$

Also given Sister's age = 10 years

hence equation to find my age will be expressed as below;

$6+\frac{1}{3}x = 10\\\\\frac{1}{3}x = 10-6\\\\\frac{1}{3}x = 4\\\\\therefore x = 4\times3 = 12$

Brothers age = $\frac{1}{3}x=\frac{1}{3}\times12=4$

Hence my age is 12 years.

4 0

3 years ago

The radius of a circle of area a and circumference c is doubled. find the new area of the circle in terms of

maksim [4K]

By definition, the circumference of a circle is:
$c = 2 * pi * r
$
The area of a circle is:
$a = pi * r ^ 2
$
Where,
r: radius of the circle.
When the radius is double, then the new area is:
$A = \pi*(2r)^2
$
Rewriting we have:
$A = 4 * \pi * r ^ 2
$
In terms of a we have:
$A = 4 * a$
Answer:
The new area of the circle in terms of a is:
$A = 4 * a$

3 0

3 years ago