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vladimir2022 [97]
3 years ago
7

Can someone please check this?

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0
I think there is a diagram given for the question above. Nevertheless, here is what I have based on my research.

<span>Given: Line segment AB is congruent to line segment AC, angle BAD is congruent to CAD
 Prove: line segment AD bisects line segment BC
</span>
<span>Statements:
1. line segment AB is congruent to line segment AC
2. angle BAD is congruent to angle CAD
3. line segment AD is congruent to line segment AD
4. Triangle BAD is congruent to triangle CAD
5. line segment BD is congruent to line segment CD
6. Line segment AD bisects line segment BC
 
Reasons:
1. Given
2. Given
3. Reflexive Property
4. SAS
5. </span><span>CPCTC Theorem</span><span>
6. Definition of Segment Bisector</span>

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Write the equation, in slope-intercept form, for the line shown in the graph below:
kipiarov [429]

Answer:

y=\frac{3}{4}x-4

Step-by-step explanation:

\frac{3}{4} is the slope (rise over run)

-4 is the y-intercept

4 0
3 years ago
You cut off half of a strip of paper. then you cut half of the piece was left. then you cut half of the remaining piece.
lianna [129]

Answer:

The fraction of the original strip left is \frac{1}{8}.

Step-by-step explanation:

We have that,

A strip of paper is cut in \frac{1}{2}. So, the strip of paper left is \frac{1}{2}.

Now, again the remaining part is cut in half. The part left will be  \frac{1/2}{2} i.e.  \frac{1}{4}.

Finally, the remaining part is again cut in half.

We get, the final part of the paper remaining is  \frac{1/4}{2} i.e.  \frac{1}{8}.

So, the fraction of the original strip left is \frac{1}{8}.

6 0
3 years ago
In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as
nika2105 [10]

Answer:

The value of the car in very nice condition is $28,500.

Step-by-step explanation:

Consider the provided information.

In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as a car in very nice condition.

The mixed fraction can be written as:

2 \frac{1}{4}=\frac{9}{4}

Let x is the value of car in very nice condition.

64,125 =\frac{9}{4}x

x=\frac{64,125\times 4}{9}

x=28,500

Hence, the value of the car in very nice condition is $28,500.

7 0
3 years ago
Find the perimeter AND area of the parallelogram ABCD. Show all work
nexus9112 [7]

Since, this is parallelogram

so, opposite sides are equal

We will find value of sides

Calculation of AB:

we are given point A=(-2,3)

point B=(4,0)

we can use distance formula

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

now, we can plug values

AB=\sqrt{(4+2)^2+(3-0)^2}

AB=3\sqrt{5}

Since, this is parallelogram

so, opposite sides are equal

so,

CD=AB=3\sqrt{5}

Calculation of AD:

point A =(-2,3)

point D=(-5,2)

we can use distance formula

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

now, we can plug values

AD=\sqrt{(-5+2)^2+(2-3)^2}

AD=\sqrt{10}

Since, this is parallelogram

so, opposite sides are equal

so,

BC=AD=\sqrt{10}

Calculation of AE:

point A=(-2,3)

point E=(-3,1)

we can use distance formula

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

now, we can plug values

AE=\sqrt{(-3+2)^2+(1-3)^2}

AE=\sqrt{5}

(a)

we know that

perimeter of a parallelogram is sum of all sides

so,

perimeter is

=AB+BC+CD+DA

now, we can plug values

=3\sqrt{5}+\sqrt{10}+3\sqrt{5}+\sqrt{10}

=6\sqrt{5}+2\sqrt{10}...........Answer

(b)

we can use area of parallelogram formula

A=AE\times CD

we can plug values

A=\sqrt{5}\times 3\sqrt{5}

A=15............Answer


4 0
3 years ago
Bobbie went snowboarding with friends at 10:10 A.M They snowboarded for 1 hour and 43 minutes, and then stop to eat lunch. What
zmey [24]
10:10 + 1:43 = 11:53
4 0
4 years ago
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