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horrorfan [7]
3 years ago
7

Question on a picture​

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

Given

- 160 = - 4(7x + 5) ← divide both sides by - 4

40 = 7x + 5 ( subtract 5 from both sides )

35 = 7x ( divide both sides by 7 )

5 = x

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Angle Addition Crossword
Elena-2011 [213]

Answer:

Step-by-step explanation:

1). m∠AEC = m∠AEB + m∠BEC

                  = 21° + 37°

                  = 58°

2). m∠BED = m∠BEC + m∠CED

                   = 37° + 44°

                   = 81°

3). m∠IKF = m∠IKH + m∠HKG + m∠GKF

                = m∠IKH + m∠HKG + m∠IKH [Since, ∠IKH ≅ ∠GKF]

                = 2∠IKH + m∠HKG

         103° = 2∠IKH + 41°

   2(∠IKH) = 103 - 41

 m(∠IKH) = 31°

4). m∠AED = m∠AEB + m∠BEC + m∠CED

                  = 21° + 37° + 44°

                  = 102°

5). m∠JKG = 108°

    m∠JKG = m∠JKI + m∠IKH + m∠HKG

    108° = m∠JKI + 31° + 41°

    m∠JKI = 108° - 72°

    m∠JKI = 36°

6). m∠HKF = m∠GKF + m∠HKG

                  = m∠IKH + m∠HKG [Since, m∠GKF = m∠IKH]

                  = 31° + 41°

                  = 72°

7). m∠NQO = m∠MQN = 64°

8). m∠JKF = m∠JKI + m∠IKF

                 = 36° + 103°

                  = 139°

8). m∠MQO = 2(m∠NQO)

                    = 2(64)°

                    = 128°

9). m∠LQO = 156°

    m∠LQM = m∠LQO - m∠MQO

                    = 156° - 128°

                    = 28°

10. m∠NQP = m∠NQO + m∠OQP

                   = 64° + m∠LQM [Since ∠OQP ≅ ∠LQM]

                   = 64° + 28°

                   = 92°

5 0
3 years ago
???????????????????whaaaat?
sergejj [24]

Answer:

dependentt

Step-by-step explanation:

8 0
2 years ago
A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students an
Butoxors [25]

Answer:

Step-by-step explanation:

you have to add a table

6 0
3 years ago
Which equation describes the circle
deff fn [24]

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

\large \boxed{ {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2} }

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

\large{ {(x - 5)}^{2}  +  {(y - ( - 1))}^{2}  =  {7}^{2} } \\  \large{ {(x - 5)}^{2}  +  {(y  + 1)}^{2}  =  {7}^{2} } \\  \large{ {(x - 5)}^{2}  +  {(y  + 1)}^{2}  = 49 }

So the answer is B choice.

6 0
3 years ago
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current
exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0
2 years ago
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