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Fynjy0 [20]
3 years ago
10

Orginal amount: 12; New amount: 18

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer: x+6?

Step-by-step explanation:

12+x=18

x=6

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If m<BEG = (19x + 3)° and m<EGC = (m<GCB + 4x)°, which of the following statements is true about quadrilateral BEGC? Se
viktelen [127]

Answer:

The sum of all exterior angles of BEGC is equal to 360° ⇒ answer F only

Step-by-step explanation:

* Lets revise some facts about the quadrilateral

- Quadrilateral is a polygon of 4 sides

- The sum of measures of the interior angles of any quadrilateral is 360°

- The sum of measures of the exterior angles of any quadrilateral is 360°

* Lets solve the problem

- DEGC is a quadrilateral

∵ m∠BEG = (19x + 3)°

∵ m∠EGC = (m∠GCB + 4x)°

∵ The sum of the measures of its interior angles is 360°

∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360

∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ add the like terms

∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ -3 from both sides

∴ 23x + 2m∠GCB + m∠CBE = 375

∵ The sum of measures of the exterior angles of any quadrilateral is 360°

∴ The statement in answer F is only true

3 0
3 years ago
#16 and #19 only <br> Please answer both as soon as possible.
Vlad1618 [11]

Answer:

1. it is not a direct variation because the value <em>k</em> is not kept throughout the ordered pairs

2. -a^5 - 2a³ + 2a², leading coefficient is -1

Step-by-step explanation:

1. to find the direct variation, we will use y/x = k with k representing our constant throughout the chart. if every value is equal to k, it is a direct variation

for this problem we will assume that the cup sizes are x and the cost is y

so the ordered pairs are (8, 0.90), (12, 1.35), (16, 1.80), and (24, 2.25)

.90/8 = 0.1125 <-- this is our <em>k</em> value for which every result has to be equal to

1.35/12 = 0.1125

1.80/12 = 0.1125

2.25/24 = 0.09375

since the value <em>k</em> was not kept throughout the ordered pairs, this is not a direct variation

2. the standard form of a polynomial is the exponents in descending order.

we have the following polynomial: 2a² - a^5 -2a³

to write it in standard form, we will go in descending order of the exponents. the largest exponent being first

-a^5 - 2a³ + 2a²

the leading coefficient of the polynomial is -1, as there is a negative sign in front of the newly formed polynomial

4 0
3 years ago
Solve the equation -25+4y=35
borishaifa [10]
-25+4y=35
*Subtract 35*
-25+4y-35=0
*add 25 (to cancel out)*
4y-35=25
*add 35 (to cancel out)*
4y=60
*Divide by 4 to get y on its own*
y=15
Hope this helps :)
6 0
2 years ago
Read 2 more answers
Which measure of central tendency best represents the most requested song at a radio station?
tamaranim1 [39]
The mode because it is the number that occurs more often but in this situation it would be most requested song.
7 0
3 years ago
-2( -4x - 2 ) - 5x + 5 = -12
Sergio [31]

Answer:

use distributive and combine like terms

8 0
3 years ago
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