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KengaRu [80]
3 years ago
12

4 Solve the system of equations using the substitution method. y = 2 2x+y=8

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

Answer:  2

Step-by-step explanation:

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In rhombus MOTH, angle HTM=(5x+6) degrees. If angle HMO=(12x-6)degrees, what is angle HMO?
forsale [732]

Answer:

m∠HMO=102°

Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles and opposite angles are equal

In this problem

Angles HMO and HTO are opposite angles

m∠HMO=m∠HTO

m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent

substitute the values

(5x+6)\°=(1/2)(12x-6)\°

solve for x

10x+12=12x-6\\12x-10x=12+6\\2x=18\\x=9

<em>Find the measure of angle HMO</em>

m∠HMO=(12x-6)°

substitute the value of x

m∠HMO=(12(9)-6)=102°

see the attached figure to better understand the problem

5 0
3 years ago
Find the simple interest of 600 Naira for 1 whole number 1 over 2 years at 3 whole 1 over 6 % per annum
Butoxors [25]

Answer:

₦28.5

Step-by-step explanation:

interest =  \frac{600 \times 1.5 \times 3  \frac{1}{6} }{100}

7 0
3 years ago
Verify that the following equation is an identity. (1/sinx) - (1/cscx) = cscx - sinx
Anarel [89]
Manipulating the left side of the equation, we obtain:

\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}

Using that \csc x=\dfrac{1}{\sin x}:

\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\dfrac{1}{\sin x}}=\dfrac{\csc x-\sin x}{1}=\csc x-\sin x\\\\\boxed{\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\csc x-\sin x}~~\blacksquare
6 0
3 years ago
Read 2 more answers
Complete the following.(a) Find the greatest common factor (GCF) of 63 and 36.хGCF = 0(b) Use the GCF to factor 63 -36.63 – 36 =
morpeh [17]
Answer:

a) The GCF of 63 and 36 is 9

b)

63-36=9\times(7-4)

Explanation:

a) To find the GCF of 63 and 36, we do the following:

Write 63 and 36 as follows:

\begin{gathered} 63=3\times3\times7 \\ 36=2\times2\times3\times3 \end{gathered}

The common factors are:

3\times3

Therefore, the Greatest Common Factor (GCF) is 9

b) To find the factor 63 - 36

63-36=9\times(7-4)

6 0
1 year ago
The door on the computer center has a lock which has five buttons numbered from 1 to 5. The combination of numbers that opens th
gladu [14]

Answer:

a) 121 combinations

b) 124 combinations

Step-by-step explanation:

a) 5 possible number without repeating any will give us =

5 possible numbers* 4 possible numbers* 3 possible numbers* 2possible numbers + 1 possible numbers = 121 combination

b) 5 possible number but repeating 1 will give us 5 possible numbers* 4 possible numbers * 3 possible numbers* 2possible numbers

+4 possible number

124 combination

7 0
3 years ago
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