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Keith_Richards [23]
4 years ago
7

Arthur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189to buy the new coat that he wa

nts for school. How much must Arthur earn in the next week? Write an inequality and then solve
Mathematics
1 answer:
Pani-rosa [81]4 years ago
6 0
136 + x = 189
-136 -136
x = 53
Arthur must earn $53 in the next week to buy the new coat.
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An inscribed angle has a measure of 48°. Determine the measure of the intercepted arc.
BabaBlast [244]
An inscribed angle has a measure of 1/2 of the intercepting arc.  Since our angle is 48°, we can set up the equation 48=\frac{1}{2}x to represent this.  Divide both sides by 1/2:
\frac{48}{\frac{1}{2}}=\frac{\frac{1}{2}x}{\frac{1}{2}}
\\ 48 \div \frac{1}{2} = x
\\ \frac{48}{1} \div \frac{1}{2} = x
\\ \frac{48}{1}*\frac{2}{1} = x
\\ \frac{96}{1}=x
\\ 96=x
The measure of the intercepted arc is 96°.
3 0
3 years ago
What is a formula for the nth term of the given sequence?<br> 36, 24, 16...
SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

3 0
3 years ago
I need help!! Given: Quadrilateral pqrt , qsv , ptv , qv bisects rt , and Qr//pv
Dvinal [7]

Answer:

Statement 1: Quadrilateral PQRT; line QSV; line PTV line QV bisects line RT, and line OR is parallel to line PV

Statement 3: angle QSR is congruent to angle VST

Statement 5: Triangle RSQ is congruent to angle TSV

Reason 1: Given

Reason 2: If a line bisects a segment, then it divides the segment into two congruent segments.

Reason 4: If two lines are parallel, then the alternate interior angles are congruent.

Step-by-step explanation:

The first statement will always be your given statements.

8 0
3 years ago
20. Find the missing side. Round to the nearest tenth.
nikdorinn [45]

Answer:

A

Step-by-step explanation:

Note

One thing you should automatically notice is that x is larger, much larger than 20. x is the hypotenuse of a right triangle

Formula

Sin(18) = opposite side / hypotenuse

Givens

Sin(18) = 0.30902

opposite = 20

hypotenuse = x

Solution

sin(18) = 20 / x                            Multiply both sides by x

x sin(18) = 20*x /x

x sin(18) = 20                              Divide by sin(18)

x sin(18) / sin18 = 20/sin(18)

x = 20 / 0.30902

answer: x = 64.72

8 0
3 years ago
How do I find the change in temperature or elevation from 15°C to -5°C​
Oduvanchick [21]

Answer:

20 degrees

Step-by-step explanation:

15 - ( - 5) \\  = 15 + 5 \\  = 20

3 0
4 years ago
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