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Lemur [1.5K]
3 years ago
8

If m∠ABC=7x-2 and ∠CDE=5x+16 are congruent, find m∠ABC?

Mathematics
2 answers:
aliina [53]3 years ago
6 0

Answer: m∠ABC = 61°

Step-by-step explanation: Since angles are congruent, make the equation

7x-2 = 5x + 16

7x-5x = 16 +2

2x = 19

x = 9

Substitute 9 for x

7(9) -2 = m∠ABC .    and      5(9) + 16 = m∠CDE

63-2 = 61° = m∠ABC             45 + 16 = 61   True!

max2010maxim [7]3 years ago
3 0

Answer:

idk im dumb i just need points

Step-by-step explanation:

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You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

Acct 2    1500-x           .05               1          .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0
3 years ago
Helpp me plssssss????
snow_tiger [21]

Answer:

C

Step-by-step explanation:

The radius is 4 making the diameter 16 you need the other side since in half so that leaves you with answer C...16\pi yd^2

3 0
3 years ago
. Choose the correct means and standard deviations for the Sincere and Insincere conditions. Make sure to round to two decimal p
tensa zangetsu [6.8K]

Answer:

C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97

Step-by-step explanation:

The given data is  

                                          x`             Std. Dev      

R. disagrees                  4.16       0.854        

P. disagrees                 3.82       0.967        

From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854

while

the P. disagrees has a mean of 3.82 and standard deviation of 0.967.

Same figures are given only in option C because

Rounding 0.854 gives 0.85

Rounding 0.967 gives 0.97

So only option C is the best choice.

C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97

8 0
3 years ago
Find the axis of symmetry F(x)=x2-8x+15
aalyn [17]

Answer:

x = 4

Step-by-step explanation:

4 0
3 years ago
Which equation is correct
Anika [276]

For this case we have to define trigonometric relations of rectangular triangles that:

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Then, according to the figure we have:

Sin (G) = \frac {15} {17}\\Cos (G) = \frac {8} {17}

Answer:

Sin (G) = \frac {15} {17}

Option D

5 0
3 years ago
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