All angles are congruent.
The sum of the measures of the interior angles of a quadrilateral is 360.
Since all angles are congruent, then each angle must measure 360/4 = 90.
Every angle measures 90 degrees.
The quadrilateral must be a rectangle.
Is the quadrilateral also a square?
We are told "<span>opposite sides that are congruent." Since only opposites sides are congruent, and not all sides are congruent, then it is a rectangle, but not necessarily a square.

Answer: B. rectangle
</span>

3 0

4 years ago

Read 2 more answers

Shiloh is 7 years older than Courtney. Shiloh's age is 13 years less than two times Courtney's age. The system below models the

Andrews [41]

I'm afraid I don't see the models you have written about although I do know the answer. (C= Courtney's age, S= Shilo's age)

Shilo is 7 years older then Courtney, which equals to C+7=S.

While at the same time Shilo is 13 years younger then twice Courtney's age. This turns into Cx2-13=S.

c+7=cx2-13. This is the equation, now lets work it out.

Add 13 on each side and you get

c+20=2c

Now we subtract c from each side and we get

20=c Therefor we have found out that Courtney is 20 years old.

Shilo being 7 years older then Courtney is 27

8 0

4 years ago

Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph.

Fynjy0 [20]

$\text{Answer: }1\frac{23}{40}\ miles\text{ far she live from school.}$

Explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

$\frac{x}{3}+\frac{x}{7}=\frac{45}{60}\\\\\frac{7x+3x}{21}=\frac{3}{4}\\\\\frac{10x}{21}=\frac{3}{4}\\\\x=\frac{3\times 63}{4\times 10}=\frac{63}{40}=1\frac{23}{40}\ miles.$

Hence,

$1\frac{23}{40}\ miles\text{ far she live from school.}$

8 0

3 years ago

A person is 2 meters tall casts a shadow 6 meters long. At the same time, a flagpole casts a shadow 24 meters long. How tall is

Alexandra [31]

Answer:

8 meters

Step-by-step explanation:

Given that:

Height of person = 2metres

Length of person's shadow = 6 meters

Height of flagpole =?

Length of flagpole shadow = 24 meters

Height of person = length of person's shadow

Height of flagpole = length of person's shadow

2 = 6

x = 24

Cross multiply

6x = 48

x = 48 / 6

x = 8 meters

4 0

3 years ago