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1 year ago

Find the length of DF or state what additional information you would need to find it.

Mathematics

1 answer:

hichkok12 [17]1 year ago

5 0

Answer:

DF=3.75

Step-by-step explanation:

24/6=15/x

cross multiply to get 24x=90

x=3.75

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11. Health. Sherri is considering joining a health club. To be a member of Roman's Gym, she would

sergeinik [125]

Answer:

help

Step-by-step explanation:

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1 year ago

A. imagine that you are one of the people who left the luncheon with a contagious disease and interacted with an average of 9 di

shusha [124]

1. In line with the test each person who came into interaction with the infected person will become infected also. With this information, the calculation would be: 9 people each day for 7days would be equivalent to 9 x 7 which equals 63 people.

2. Here were 7 other people in the experiment if patient zero is left out. If each person intermingled with 6 different people every day in 7 days then the calculation would be: 7 people infected x 6 new people = 42 infected people each day

42 new people every day x 7 days = 294 infected persons.

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2 years ago

Consider this polynomial, where a is an unknown real number.

DENIUS [597]

Answer:

Step-by-step explanation:

Correct steps to find the value of 'a' should be,

Braulio's synthetic division should be,

-1 | 1 5 a -3 11

-1 -4 (4 - a) (a - 1)

1 4 (a - 4) (1 - a) (a + 10)

Here remainder is (a + 10).

So (a + 10) = 17 ⇒ a = 7

Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.

Zahra's calculation by remainder theorem should be,

p(x) = x⁴ + 5x³ + ax² - 3x + 11

p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11

= 1 - 5 + a + 3 + 11

= (a + 10)

Since, remainder of the solution is 17,

(a + 10) = 17 ⇒ a = 7

Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).

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2 years ago

1. which angle is congruent to Angle 1?

Inessa [10]

Part 1) which angle is congruent to Angle 1?

we know that

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles

m∠5=m∠1 ----------> by corresponding angles postulate

therefore

the answer Part 1) is

Angle $5$

Part 2) Which can be used to directly prove that Angle 1 =~ Angle 8?

we know that

Alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.

in this problem

m∠1=m∠8 -------> by alternate exterior angles theorem

therefore

the answer part 2) is the option

Alternate Exterior Angles Theorem

Part 3) If m Angle 5 = 42 degrees, what is m Angle 4?

we know that

Alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal

m∠4=m∠5 --------> by alternate interior angles theorem

m∠4= $42\ degrees$

therefore

the answer Part 3) is

$42\ degrees$

5 0

2 years ago

Read 2 more answers

Tony addison obtained a 20-year, $45,000 mortgage loan from united savings with an interest rate of 8.5%. his monthly payment is

Anna007 [38]

As given,

Loan amount is = $45000

Rate of interest = 8.5%

So, Tony's mortgage will attract an interest of:

$45000\times\frac{8.5}{100}$ = $3825 (this is yearly)

And for 1st month it will be = $\frac{3825}{12}$ = $318.75

As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.

Hence, the new principle after the 1st month is $71.85 less than $45000

= 45000-71.85 = $44928.15

Hence, the last option $44928.15 is the correct answer.

4 0

2 years ago