answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dolphi86 [110]
2 years ago
10

Segment GI is congruent to Segment JL and Segment GH is congruent to Segment KL. I have to prove Segment HI is congruent to Segm

ent JK. It has to be done in eight steps with reasons.

Mathematics
1 answer:
madreJ [45]2 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

1 step: \overline{GI}\cong \overline {JL} - given

2 step: \overline{GI}\cong \overline{GH}+\overline{HI} - Segments Addition Postulate

3 step: \overline{GH}+\overline{HI}\cong \overline {JL} - Substitution Property

4 step: \overline {JL}\cong \overline {JK}+\overline {KL} - Segments Addition Postulate

5 step: \overline{GH}+\overline{HI}\cong \overline {JK}+\overline {KL} - Substitution Property

6 step: \overline{GH}\cong \overline {KL} - given

7 step: \overline{GH}+\overline{HI}\cong \overline {JK}+\overline {GH} - Substitution Property of Equality

8 step: \overline{HI}\cong \overline {JK} - Subtraction Property of Equality

You might be interested in
you are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.
ira [324]

It is given in the question that

You are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.

Let the price of scanner be $ x .

So we have

x+ 80\leq   150

Subtracting 80 from both sides

x\leq  70

It means , the price should be not more then $70 .

Therefore in case, the price of scanner is $75, then you will not remain within your budget .

6 0
1 year ago
Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. AB = 8 BC = 4 CD =
zimovet [89]
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a

BC is the short leg of ∆ABC

Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3

For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3

CD = a = √3
AD = a√3 = 3

For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1

DB = a = 1
6 0
1 year ago
Read 2 more answers
2 m3 of soil containing 35% sand was mixed into 6 m3 of soil containing 15% sand. what is the sand content of the mixture?
jekas [21]
Answer is: 1.6 m3 of sand
4 0
1 year ago
What noise is used to signify someone dying of an
Brut [27]
A bell ringing is the answer
8 0
2 years ago
Jack is 27 years older than Susan. In 5 years he will be 4 times as old as she is. Find the present ages of jack and Susan
riadik2000 [5.3K]
X - Jack's age
y - Susan's age

Jack is 27 years older than Susan.
x=y+27

In 5 years he will be 4 times as old as she is.
x+5=4(y+5)

The system of equations:
x=y+27 \\ x+5=4(y+5) \\ \\ \hbox{substitute y+27 for x in the 2nd equation:} \\ y+27+5=4(y+5) \\ y+32=4y+20 \\ y-4y=20-32 \\ -3y=-12 \\ y=\frac{-12}{-3} \\ y=4 \\ \\ x=y+27=4+27=31

Jack is 31 years old and Susan is 4 years old.
5 0
1 year ago
Other questions:
  • on a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on
    8·2 answers
  • The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in
    5·2 answers
  • Tyrell is going to be use ASA to prove that PQR=SQR
    8·2 answers
  • PLZ HELP Describe the end behavior and determine whether the graph represents an odd-degree or an even-degree polynomial functio
    11·2 answers
  • the cooper family decided to hike to hillside lake,approximately 8⅝ miles away. after an hour tje lake was still 5⅓ miles away.
    10·2 answers
  • The chicken coup at the petting farm is 10 by 14 feet. The farm would like to double the current area
    6·1 answer
  • Three identical fair coins are thrown simultaneously until all three show the same face. What is the probability that they are t
    13·1 answer
  • Choose the answer to complete each statement
    15·1 answer
  • tara bakes 225 cookies in 5 hours, and she uses 8 pounds of sugar. she divide 225 by 5 to grt a rate of 45. which of the followi
    11·1 answer
  • The population of deer in a state park can be predicted by the expression 106(1.087)t, where t is the number of years since 2010
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!