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
katen-ka-za [31]
3 years ago
15

FM = 5y + 13, MG = 5 - 3y, FG = ? M is the midpoint of FG. Use the given information to find the missing measure or value.

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0
5y+13=-3y+5
8y=-8
y=-1
2FM=FG
-5+13-5+13=FG
FG=16
You might be interested in
Find the perimeter of the triangle.
Rudiy27

Answer:

12 + 10 + 15,62= 37,62

Step-by-step explanation:

According to the Pythagorean Theorem, you will have this:

{a}^{2} + {b}^{2} = {c}^{2} \\ \\ {10}^{2} + {12}^{2} = {c}^{2} \\ \\ 244 = {c}^{2} \\ \\ 2\sqrt{61} = c \\ \\ 15,62049935 ≈ c \\ \\ 15,62 ≈ c \\ \\ 12 + 10 + 15,62 = 37,62

* There was an error in the correct answer, so I corrected it, as you can see.

I am joyous to assist you anytime.

8 0
3 years ago
Given logbM=3.2 logbN=-1.5 and logbP=2.4 find the value of logb(m^2N/p)
artcher [175]
The formulas:
\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
\log_a (x^n)n \log_a x

Expand the expression:
\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p

Plug the values into the expression:
\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\
\boxed{\log_b (\frac{m^2n}{p})=2.5}
3 0
3 years ago
10. If 9! is 362880, find 10!.
allochka39001 [22]

Answer:

  3628800

Step-by-step explanation:

10! = 10 × 9! = 10 × 362880

  = 3628800

_____

A number is multiplied by 10 by shifting the decimal point one place to the right. Here, that means appending a place-holder zero to the number.

4 0
3 years ago
90° clockwise rotation<br> Help please
maria [59]

Answer:

E' (-2,5)

F' (-3,1)

G' (-2,-1)

H' (0,3)

Step-by-step explanation:

The rule for 90 degree clockwise rotation is (h,k) -> (k,-h). This means flip the x-value's sign and then switch x and y's position. For example E (-5,-2), first flip x's sign (5,-2) and then switch x and y's places (-2,5).

4 0
3 years ago
The 4th and 8th term of a G.P. are 24 and 8/27 respectively. find the 1st term and common ratio
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric progression is

• a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

given a₄ = 24, then

a₁r^{3} = 24 → (1)

Given a₈ = \frac{8}{27}, then

a₁r^{7} = \frac{8}{27} → (2)

Divide (2) by (1)

r^{4} = \frac{\frac{8}{27} }{24} = \frac{1}{81}

Hence r = \sqrt[4]{\frac{1}{81} } = \frac{1}{3}

Substitute this value into (1)

a₁ × (\frac{1}{3} )³ = 24

a₁ × \frac{1}{27} = 24, hence

a₁ = 24 × 27 = 648

4 0
4 years ago
Other questions:
  • Mom and dad have 4 daughters each daughter has 1 brother how many members are in the family
    6·1 answer
  • F(x) = x4 − 4x3 − 4x2 + 36x − 45. This function has roots
    6·2 answers
  • A hyena can run 1/4 of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in mi
    5·1 answer
  • 1. A car travels 416 miles in 8 hours. At that rate, how far will the car travel in 22 hours?
    12·1 answer
  • 05.01 MC)
    9·1 answer
  • Combine like terms to create an equivalent expression. 20(−1.5r+0.75)20(-1.5r+0.75)20(−1.5r+0.75)20, left parenthesis, minus, 1,
    10·2 answers
  • Help ASAP please!!!!!
    5·1 answer
  • In a bag of candy hearts the ratio of pink to green hearts is 3 to 5. If there are 35 green hearts, how many pink hearts are in
    14·1 answer
  • 1.The area of the KM 89 Farm in San Vicente is (x²+7x +12) sq meters. If its width is (x + 3) meters, what is the length of the
    14·1 answer
  • I will give you branilest! <br> Solve 1/3(x-10)= -4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!