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ASHA 777 [7]
3 years ago
10

At 6:00 the outside air temperature was 15°F. By 8:00 the temperature had dropped 9°F, and by 11:00 I had dropped another 12°. W

hat was the temperature at 11:00?
Mathematics
1 answer:
laila [671]3 years ago
8 0

Answer:

- 6°F

Step-by-step explanation:

Given :

Temperature at 6:00 = 15°F

Temperature dropped by 9°F by 8:00

Temperature by 8:00 = 15°F - 9°F = 6°F

Temperature dropped another 12°F by 11:00

Hence, Temperature at 11:00 will be :

6°F - 12°F = - 6°F

Temperature at 11:00 = - 6°F

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In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of
ira [324]
Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)

8 0
3 years ago
Tell me what each angle is in the following triangle: angle 1 is 8x, angle 2 is 2x+3, angle 3: 30 degrees. give me the two answe
9966 [12]
Answer:  117.6° ;  32.4° .
_________________________
Explanation:
_______________________________________________________
Note: ALL triangles, by definition, have exactly 3 (THREE) sides and exactly 3 (THREE) angles.   
_____________________
We are given the following:
_______________________
We have a triangle.

Angle 1:  m∡1 = (8x) ;

Angle 2:  m∡2 = (2x + 3) ;

Angle 3:  m∡3 = 30.
______________________________________
We are asked to find:  "m∡1"  and " m∡2" .
______________________________________
Note: In ALL TRIANGLES, the measurements of all THREE (3) angles ALWAYS add up to 180 degrees.
________________________________________
   So, " m∡1 + m∡2 + m∡3 = 180 " . 
________________________________________
Let us substitute our given values for the measurements in EACH of
the THREE (3) angles — on the left-hand side of the equation;  then solve for "x" ;  then substitute that solved value for "x" into the given expressions for BOTH  "m∡1" AND "m∡2" ; to find the values for " m∡1" AND " m∡2 " ; which are the values asked for in this very question ; 
___________________________________________
 
                m∡1 + m∡2 + m∡3 = 180  ; 
___________________________________________
             8x + (2x + 3) + 30 = 180 ;
___________________________________________
             8x + 2x + 3 + 30 = 180 ;
___________________________________________
  Combine the "like terms" on the 'left-hand side" of the equation; to simplify:
____________________________________________________________
            +8x + 2x = +10x ;
___________________________________________
              +3 + 30 = +33 ; 
___________________________________________
  Rewrite the entire equation, as:
___________________________________________
         10x + 33 = 180 ; 
___________________________________________
 Now, subtract "33" from EACH SIDE of the equation:
___________________________________________
         10x + 33 − 33 = 180 −<span> 33 ;
___________________________________________
 to get:
___________________________________________
         10x    =   147 ;  
____________________________________________
   Now, divide EACH side of the equation by "10" ; to isolate "x" on ONE SIDE of the equation; and to solve for "x" : 
____________________________________________
         10x / 10 = 147 / 10 ; 
____________________________________________
   to get: 
____________________________________________
              x = 14.7 ;
___________________________________________
    Now, given the following, we plug in our solved value, "14.7", for "x", into the expression given for "m</span>∡1" and "m∡2";  as follows:
________________________________________________

Angle 1:  "(8x)" = 8*(14.7) =  117.6° ; 
________________________________________________
Angle 2:  "2x + 3" = 2*(14.7) + 3 = 29.4 + 3 = 32.4° ;
________________________________________________
These are the two answers; that is the 2 (TWO) values asked for in the question:   117.6° ;  32.4° .
<span>____________________________________</span><span>
 Do they make sense? That is, do the measurements of ALL 3 (THREE) angles; that is, our two solved measurements added together, and then added to the value of the third angle (given: "m</span>∡3 = 30°); all add up to 180° ?
___________________________________________
Let us check:
_______________________________
   m∡1  +  m∡2  +  m∡3 = 180 ; 
_______________________________
Plugging in our solved values for "m∡1" and "m∡2" ; and our given value: "30" — for "m∡3 — does the equation hold true?
______________________________________________
   → 117.6 + 32.4 + 30 = ? 180 ??
______________________________________________
   → 117.6 + 32.4 = 150  ;   → 150 + 30 =? 180 ?  Yes!
______________________________________________
4 0
3 years ago
Brittany is arranging her shoes. For the amount of shoes she has, she knows she can use either rows of 4 with none left over, or
yawa3891 [41]

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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