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wel
3 years ago
9

Determine if the angles are greater than (>), less than (<), or equal (=) to each other.

Mathematics
1 answer:
Gwar [14]3 years ago
4 0
  • Opposite side to <WYX=WX
  • Opposite side to <XWY=XY

Here

  • WX=12
  • XY=15

As

  • WX<XY

\\ \sf\longmapsto

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∠LMN and ∠NMO are a linear pair of angles. If ∠LMN = 4x + 3 and ∠NMO = 10x – 5, then find the value of x. (1 point)
andriy [413]
Linear angles are two angles that are part of a straight angle (180*), so both must add up to 180.   If 4x+3+10x-5+180, then 14x-2=180, then 14x=182, and x=13
8 0
3 years ago
Read 2 more answers
Note: Figure is not drawn to scale. If m1 + m2 = 134°, what is m3? A. 138° B. 49° C. 46° D. 136°
NemiM [27]

Answer:

Measure of angle 3: C (46 degrees)

Step-by-step explanation:

As there is no attachment, I will assume the question is in reference to a triangle. Knowing that a triangle contains 3 angles the answer can be retrieved through simple steps:

m∠1 + m∠2 + m∠3 = 180 degrees, by Sum of Angles in Triangle Theorem, <em>thus;</em>

Through substitution + algebra:

134 + m∠3 = 180,

m∠3 = 46 degrees

8 0
3 years ago
Examine the diagram, where AB←→ is secant to the circle at points A and B, and CD←→ is secant to the circle at points C and D. T
soldier1979 [14.2K]

In the secant secant theorem,

AP × BP = CP × DP

AP × 6 = 7 × 12

AP = 7 × 2 = 14

Answer: 14

5 0
3 years ago
Line p has an equation of y=-8x+6. Line q, which is perpendicular to line p, includes the point (2,–2). What is the equation of
Arturiano [62]

Answer:

y =  \frac{1}{8} x - 2  \frac{1}{4}

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Line p: y= -8x +6

slope= -8

The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

Substitute m= ⅛ into the equation:

y= ⅛x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation.

When x= 2, y= -2,

-2= ⅛(2) +c

- 2 =  \frac{1}{4}  + c

c =  - 2 -  \frac{1}{4}

c =  - 2 \frac{1}{4}

Thus, the equation of line q is y =  \frac{1}{8} x - 2 \frac{1}{4}.

4 0
2 years ago
Complete the square to solve 4x^2 + 24x = 4
dalvyx [7]

Answer:

4x^2+24x=4

Step 1:

make the coefficient of x² as 1, divide both sides by 4

x² +6x =1

Step 2:

take half of coefficient of x, square it and add it to both sides

half of 6 is 3 and 3²=9, so add 9 to both sides

x² +6x+9=1+9

x²+6x+3²=10

(x+3)²=10

now when we take square root we will get both + and - √10 on right side

x+3= +√10

x+3=-√10

solving for x

x=+√10-3

Step-by-step explanation:

4 0
3 years ago
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