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
son4ous [18]
3 years ago
9

HELP++++++++++++++++++++++++

Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0

Answer:

ASA

ΔFGH ≅ ΔIHG ⇒ answer B

Step-by-step explanation:

* Lets revise the cases of congruence  

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles  

 and one side in the 2ndΔ  

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

 leg of the 2nd right angle Δ

* Lets prove the two triangles FGH and IHG are congruent by on of

 the cases above

∵ FG // HI and GH is transversal

∴ m∠FGH = m∠IHG ⇒ alternate angles

- In the two triangles FGH and IHG

∵ m∠FHG = m∠IGH ⇒ given

∵ m∠FGH = m∠IHG ⇒ proved

∵ GH = HG ⇒ common side

∴ ΔFGH ≅ ΔIHG ⇒ ASA

* ASA

 ΔFGH ≅ ΔIHG

You might be interested in
Please help. I'm stuck.
Bezzdna [24]
The root \sqrt{10} can be converted into the power 10^{ \frac{1}{2} }. Therefore we can rewrite the problem as (10^{ \frac{1}{2} } )^ {\frac{3}{4} x} and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.

Thus the problem becomes 10^{\frac{3}{8}x}, which then can be turned into \sqrt[8]{10} ^{3x}, making the last option our answer.

4 0
3 years ago
Area of a lake is 9/20 a square mile. The width is 1/5 the length. What is the length and the width.
katovenus [111]
Say, length =x mileWidth =.  x/5 milex*x/5=9/2020x*x=45x*x=45/20      =9/4x=3/2 mileLength =3/2 milesWidth=. 3/10 miles
3 0
3 years ago
Can anyone help with the answers to all these questions with an explanation please?
saveliy_v [14]

ANSWER:

1) 25.70 cm 2) 30.84 cm 3) 10.71 km 4) 1.07 km 5) 6.71 cm 6) 10.07  mm

EXPLANATION:

<em>1. Know that the circumference formula for a full circle is:</em>

C = 2\pi r

The value of pi (\pi) = 3.14

The radius (r) will be given in the diagrams.

<em>2. Now we can figure out the perimeters. </em>

<u>Shape One: Semi-circle</u>

C = 2 x 3.14 x 5

C = 31.4 cm

Divide the circumference by 2 because it is a semi-circle. Then add 10 cm to this (because the flat side is 10 cm).

P = \frac{31.4}{2} +10

P = 25.7 cm ≈ 25.70 cm

<u>Shape Two: Semi-circle</u>

C = 2 x 3.14 x 6 (the picture shows the diameter so we need to half that to get the radius)

C = 37.68 cm

Divide the circumference by 2 because it is a semi-circle. Then add 12 cm to this (because the flat side is 12 cm).

P = \frac{37.68}{2}+12

P = 30.84 cm

<u>Shape Three: Quadrant</u>

C = 2 x 3.14 x 3

C = 18.84 km

Divide the circumference by 4 because it is a quadrant. Then add 6 km to this (because the two flat sides are 3 km each and so it is 6 km total).

P = \frac{18.84}{4} +6

P = 10.71 km

<u>Shape Four: Quadrant</u>

C = 2 x 3.14 x 0.3

C = 1.884 km

Divide the circumference by 4 because it is a quadrant. Then add 0.6 to this (because the two flat sides are 0.3 km each and so it is 0.6 km total).

P = \frac{1.884}{4} + 0.6

P = 1.071 km ≈ 1.07 km

<u>Shape Five</u>

C = 2 x 3.14 x 1

C = 6.28 cm

For this shape, we need to subtract the circumference of the missing sector from the circumference of the full circle to obtain the circumference for this shape. So, the circumference for the shape would be:

C =  6.28 - \frac{6.28}{4}

C = 6.28 - 1.57

C = 4.71 cm

Then add the flat sides (1 cm + 1 cm = 2 cm) to this circumference to get the perimeter.

P = 4.71 + 2

P = 6.71 cm

<u>Shape Six</u>

C = 2 x 3.14 x 1.5 (Divide the 3 mm diameter by 2 to get the radius)

C = 9.42 cm

Do the same thing you did for Shape 5.

C = 9.42 - \frac{9.42}{4}

C = 7.065 mm

Then add the flat sides (1.5 + 1.5 = 3) to this circumference.

P = 7.065 + 3

P = 10.065 mm ≈ 10.07 mm

7 0
3 years ago
Add the polynomials.
Dafna11 [192]
The answer is 7x^2+7x-3.
7 0
2 years ago
Please Help! Need to turn this in tonight!!<br> image attached!
Lelechka [254]
Yeah don’t put this in 477 82 72
4 0
3 years ago
Other questions:
  • Can someone help me with this math question. ​
    14·2 answers
  • Which ordered pair is a solution of the equation below? y=4x?
    14·1 answer
  • Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-d
    14·1 answer
  • Angela's coffee shop brewed seventy-one liters of coffee everyday for a week.The shop is open for 16 hours everyday.How many lit
    11·1 answer
  • how do you do this 2 problems please help me ITS A PICTURE please help!! Find the area please!!10 points!! Thabk you!!​
    5·2 answers
  • Factor : 2b^2 + 13b - 7<br><br>Please help !!! :)
    12·1 answer
  • 90 is n multiplied by 123 write equation (IXL)
    7·2 answers
  • A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the mar
    10·1 answer
  • What is x if n≠m? Please help!
    5·1 answer
  • X^2+16x+_=(x+_)^2 what are the missing digits?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!