1answer.
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
oksano4ka [1.4K]
3 years ago
11

Copy the problems onto your paper, mark the given and prove the statements asked. Given: marked Prove: ΔABC ≅ ΔDBC, ΔEHF ≅ ΔGHF

Mathematics
1 answer:
hjlf3 years ago
7 0

The proof is given below. Please go through it.

Step-by-step explanation:

To solve Δ ABC ≅ Δ DBC

From Δ ABC and Δ DBC

AB = BD (given)

AC = CD (given)

BC is common side

By SSS condition Δ ABC ≅ Δ DBC ( proved)

To solve Δ EHF ≅ Δ GHF

Δ EHF and Δ GHF

EH = HG ( given)

∠ EFH = ∠ GFH ( each angle is 90°)

HF is common side

By RHS condition

Δ EHF ≅ Δ GHF

You might be interested in
11. Sum of angle measures: 180°
shusha [124]

Answer:

given \: tha \: sum \: is = 180 \\ then \\ n + 4n + 40 = 180 \\ 5n + 40 = 180 \\ 5n = 180 - 40 \\ 5n = 140 \\ n =  \frac{140}{5}  = 28 \\ n = 28 \\ thank \: you

7 0
3 years ago
How many times is 78 billion greater than 78 thousand?
blondinia [14]
Just divide 78 billion by 78 thousand

3 0
3 years ago
Write the equation of each line using the given information.
Scorpion4ik [409]

The equations are: A :y= -5x +11.5 B: y=4x+3 C.y=1 and D : y=4

Step-by-step explanation:

You can write the equations of the lines in the slope intercept form, y=mx+c where m is the slope of the line, and c is the y-intercept value of the line.

A.

The points ( 2 , 1 . 5 ) and ( − 5 , 36 . 5 ) both lie on the line.

finding the slope of the line using the points

slope, m=rise/run

rise=Δy=36.5-1.5=35

run=Δx=-5-2= -7

m= Δy/Δx= 35/-7 =-5

Equation of a the line, with m=-5 and point (2,1.5) in slope intercept form will be;

m=Δy/Δx = -5 =y-1.5/x-2

-5(x-2) = y-1.5

-5x+10=y-1.5

-5x+10+1.5=y

⇒⇒y= -5x +11.5 ------------ the equation of the line

B.

The slope m is given as 4 and point (3,15)

m=rise/run

m=Δy/Δx

4=y-15/x-3

4(x-3)= y-15

4x-12 = y-15

4x-12+15=y

4x+3=y

⇒⇒y=4x+3 -------------------the equation of the line in slope-intercept form

C.

The equation given is y=1, which is a horizontal line with y-intercept value as 1

The slope here is 0

Given points (3,-1) and m=0

m=Δy/Δx

0=y--1/x-3

0=y+1/x-3

0(x-3)=y+1

0=y+1

⇒⇒equation of line will be y=1

D.

Given slope of line as m=2, and the y-intercept at (0,4) then the equation will be

m=Δy/Δx

2=y-4/x-0

2(x-0)=y-4

0=y-4

y=4 ⇒⇒⇒⇒the equation of the line

Learn More

Equation of a line : brainly.com/question/8865631

Keyword : equation, line, points

#LearnwithBrainly

8 0
3 years ago
What is 8/20 in decimal form?
IgorC [24]
8/20 in decimal form is
0.4
4 0
3 years ago
Read 2 more answers
Evaluate the expression 1/4y+10+y squared y=8
Debora [2.8K]
When y=8, the expression looks like:
1/4(8) + 10 + (8x8)
Then, you just have to solve it:
2 + 10 + 64
12 + 64
76

The answer is 76.
4 0
4 years ago
Other questions:
  • How do u write 5.6 as a fraction in simplest form
    13·2 answers
  • Half a number minus nineteen
    8·1 answer
  • Answer the question please, quickly.
    8·1 answer
  • Complete the statements. If necessary, round angle measures to the nearest degree. Round other values to the nearest hundredth
    8·1 answer
  • What is the total number of milliliter of juice 20 people can drink
    5·1 answer
  • Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
    9·1 answer
  • Please help me, i will give you brainliest
    5·1 answer
  • Luis has saved $6. He doubles the amount he saves each week.Does this represent an exponential function?Complete: this______ rep
    13·1 answer
  • 10. Find four consecutive integers such that the sum of the first three is one more than twice the largest.
    10·1 answer
  • A tank having length, breadth and height 10 m, 9 m and 8 m respectively. How much petrol does it hold? Ans: 720000 liter​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!