Order the numbers from greatest to least. 2.34, 234, 94

PLEASE HELP ME

olga_2 [115]

The measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

Explanation:

Given that the quadrilateral ABCD is inscribed in a circle.

The given angles are ∠A = (2x + 3), ∠C = (2x + 1) and ∠D = (x - 10)

We need to determine the measures of the angles A, C and D

The value of x:

We know that, the opposite angles of a cyclic quadrilateral add up to 180°

Thus, we have,

$\angle A+\angle C=180^{\circ}$

Substituting the values, we have,

$2x+3+2x+1=180$

$4x+4=180$

$4x=176$

$x=44$

Thus, the value of x is 44.

Measure of ∠A:

Substituting $x=44$ in ∠A = (2x + 3)°, we get,

$\angle A=(2(44)+3)^{\circ}$

$=(88+3)^{\circ}$

$\angle A=91^{\circ}$

Thus, the measure of angle A is 91°.

Measure of ∠C :

Substituting $x=44$ in ∠C = (2x + 1)°, we get,

$\angle C=(2(44)+1)^{\circ}$

$=(88+1)^{\circ}$

$\angle C=89^{\circ}$

Thus, the measure of angle C is 89°.

Measure of ∠D :

Substituting $x=44$ in ∠D = (x - 10)°, we get,

$\angle D=(44-10)^{\circ}$

$\angle D=34^{\circ}$

Thus, the measure of angle D is 34°.

Hence, the measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

7 0

3 years ago

Please help!!

Mumz [18]

Answer:

Α. 0

Step-by-step explanation:

Given A = -8 and B = 10

The distance between A and B

= B - A

= 10 - (-8)

= 10 + 8

= 18 units

4/9 of the way between A and B

= 4/9 of the distance between A and B

= 4/9 x 18 units

= 8 units.

Hence the location of the point that is 4/9 of the way from A to B

= value at point A + 8 units

= -8 + 8

= 0 (answer)

5 0

3 years ago

1. Based on the information in the table, is the cost of the apples proportional to the weight of apples?

lina2011 [118]

Answer:

yes
no

Step-by-step explanation:

When a number of similar calculations are required, a spreadsheet can reduce the tedium.

1. The price is a constant $1.88 per pound, so is proportional to the weight.

_____

2. The price is not proportional to the number of toppings.

__

The cost of the pizza is $8.99 plus $1.50 per topping. The base cost being non-zero ensures that the overall cost is not proportional to the number of toppings.

4 0

3 years ago

15x+5y=30 with y by itself

SCORPION-xisa [38]

Answer:

15 x 1 + 5 x 3 = 30

Step-by-step explanation:

If you turn the x into a one then it multiplies 15 by one and then it remains at 15, then you multiply 5 and 3 so that's 15 and then 15 + 15 is 30.

3 0

3 years ago

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20 POINTS PLEAE HELP!!!!!!!!!!!!!!!

Alina [70]

His first payment is $100, thus a₁ = 100.

the next "term", month will be 1.1 times more than the one before, namely r = 1.1, the common ratio.

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=100\\
r=1.1\\
n=20
\end{cases}$

$\bf \sum\limits_{i=1}^{20}~100(1.1)^{i-1}\qquad \qquad\qquad \qquad S_{20}=100\left( \cfrac{1-1.1^{20}}{1-1.1} \right)
\\\\\\
S_{20}=100\left( \cfrac{1-\stackrel{\approx}{6.727499949}}{-0.1} \right)\implies S_{20}\approx 100(57.27499949)
\\\\\\
S_{20}\approx 5727.4999493256$

is the serie divergent or convergent?

well, to make it short, when the common ratio is 0 < | r | < 1, namely a fraction between 0 and 1, only then the serie is convergent, namely it reaches a fixed value, now in this case, 1.1 is a value larger than anything between 0 and 1, so no dice.

5 0

3 years ago

Read 2 more answers