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laiz [17]
3 years ago
12

Use image to complete this proof​

Mathematics
1 answer:
monitta3 years ago
6 0

Step-by-step explanation:

Line CD is the perpendicular bisector of segment AB

D. Given

Point D is the midpoint of segment AB

B. Definition of Perpendicular Bisector

Segment AD is congruent to segment BD

E. Definition of Midpoint

Angle ADC and angle BDC are right angles.

F. Definition of Perpendicular Bisector concerning right angles

Angle ADS is congruent to angle BDC

A. All right angles are congruent

Segment CD is congruent to segment CD

G. Reflexive property

Triangle ACD is congruent to triangle BCD

H. Side-Angle-Side Congruence (SAS)

Segment AC is congruent to segment BC

C. Corresponding parts of Congruent Triangles are Congruent (CPCTC)

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Please help with this question!
IgorC [24]

Answer:

QR = 5

Step-by-step explanation:

Since the parallelograms are similar, then the ratios of corresponding sides are equal, that is

\frac{AB}{PQ} = \frac{BC}{QR}, then

\frac{9}{3} = \frac{15}{QR} ( cross- multiply )

9QR = 45 ( divide both sides by 9 )

QR = 5


8 0
3 years ago
Explain when it might be more efficient to use the percent equation rather than the percent proportion.
Tamiku [17]
In percent equation method , we transformed the number that we wanted to look for the percentage of into decimals and simply move the commas into two number on the right
If you get a hang on it, this method will be faster than the percent equation

hope this helps
4 0
3 years ago
The first few steps in deriving the quadratic formula are shown.
Kisachek [45]

In the first few steps for deriving the quadratic formula left side of the equation due to the distributive property for balancing the equation.

<h3>What is quadratic equation?</h3>

A quadratic equation is the equation in which the highest power of the variable is two.

Here, The first few steps in deriving the quadratic formula are shown in the table.

Use the substitution property of equality to solve it further,

-c=-ax² +bx

Now factor out the term a, to solve further as,

    - c = a (x² + b/a x)

for half of the b value and square it to determine the constant of the perfect square trinomial as,

     (b/2a)² = b²/4a²

Now  the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

  -c + b²/4a² = a(x² + b/a x + b²/4a² )

Thus, the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Learn more about Quadratic equation from:

brainly.com/question/14336752

#SPJ1

7 0
2 years ago
Please help me! Two quantities are related, as shown in the table:
Fynjy0 [20]
I don't know where you got those answers, but the actual equation that represents those points is: y = -1/2x + 11. None of those listed above are correct.
7 0
3 years ago
I need help with 15 please ASAP!!!!!!
Lady bird [3.3K]

Answer:

x must equal 5 and y must equal 2

therefore,

5a + 2b = 23 and

5a - 2b = 7.

I'm gonna take 5a + 2b = 23 and add 7 to each side:

5a + 2b + 7 = 30

and substitute 5a -2b in for 7 on the left side:

5a + 2b + (5a-2b) = 30

10a = 30

a = 3

Now we know a. Now take

5a -2b = 7

and substitute in 3 for a

5*(3) - 2b = 7

15 -2b = 7

8 = 2b

b = 4

a = 3 and b = 4

Step-by-step explanation:

6 0
3 years ago
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