All categories

3 years ago

Find the measure of FG.

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

3 0

Hello from MrBillDoesMath!

Answer:

Choice D, x = 9

Discussion:

Triangles EFG and EDG are congruent by SAS.

* Side = they both have a side of length 13.

* Angle = base angles F and D are equal as the triangles are isosceles.

Because of that, angles FEG and DEG are equal

*Side = they both share EG

Hence corresponding parts are equal, so FG = DG or

5x - 17 = 3x + 1 => (adding 17 to both sides)

5x - 17 + 17 = 3x + 1 + 17 =>

5x = 3x + 18 => (subtract 3x from both sides)

5x -3x = 18 =>

2x = 18 =>

x = 9

which is choice D

Regards,

MrB

You might be interested in

sam wants to cut a 57'' piece of wire into pieces 3/4 long. how many pieces how many pieces will he be able to cut

NeTakaya

This is a division problem involving fractions.
57 / (3/4)
57 * (4/3) =
128/3 = 76 pieces of wire

8 0

3 years ago

Help, I have a time limit for this

salantis [7]

Answer:

I believe that it is the first one.

Step-by-step explanation:

5 0

3 years ago

Shelly bought 7 boxes of fish food and 2 packets of cat food. Each box of fish food contained 6 pouches, and each packet of cat

AfilCa [17]

Answer: 34 more pouches

7 boxes - fish food; 1 box contained 6 pouches

Total amount of fish food is 7 × 6 = 42 pouches of fish food

2 packets - cat food; 1 packet contained 4 pouches

Total amount of cat food is 2 × 4 = 8 pouches

How many more pouches of fish food than cat food did Shelly buy?

42 pouches - 8 pouches = 34 pouches

Therefore there was 34 more pouches of fish food than cat food

7 0

3 years ago

Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is

igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

$x=0(mod5)$

$x=8(mod11)$

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

$x=5m$

$x=11n+8$

$5m\cong 11n+8$

Now, we can say that m>n because m and n are positive integers.

For n=1,

$5m=11(1)+8=19$

$5m=19$

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

$5m=11(2)+8$

$5m=30$

$m=6$

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

$x=5(6)=30$

Therefore the smallest positive integer solution to the given system of congruences is 30.

8 0

4 years ago

When 6 times a number is increased by 11 the result is 16 less than 9 times the number. Find the number.

scZoUnD [109]

Answer:

Brainly.in

Question

When 6 times a number  is increased by 11 the result is 16 less than 9 times the number. Find the number.

Answer · 7 votes

Answer:6x+11=9x-163x=27X=9 Please mark it brainliest

Step-by-step explanation:

Please mark it brainliest

5 0

2 years ago