If both pairs of opposite sides of a quadrilateral are congruent, then thequadrilateral is a parallelogram.A. TrueB. False

Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.

Serga [27]

Answer:

Yes

Step-by-step explanation:

ΔMNL ≅ ΔQNL by ASA or AAS

by ASA

Proof:

∠ LNM = ∠LNQ =90

LN = LN {Common}

∠MLN = ∠QLN {LN bisects ∠ L}

By AAS

∠Q + ∠QLN + ∠LNQ = 180 {Angle sum property of triangle}

∠Q + 32 + 90 = 180

∠Q + 122 = 180

∠Q = 180 -122 =

∠Q = 58

∠Q = ∠M

∠MNL =∠QNL = 90

LN = LN {common side}

8 0

3 years ago

Answer quickly please.

jeka57 [31]

Answer:

8.333333

Step-by-step explanation:

3x+2(4+6x)=133

3x+8+12x=133 First I distibuted the 2 too the 4 and 6x

15x+8=133 Then I added the x es 3x and 12x

15x+8-8=133-8 Then I subracted 8 from both sides

15x=125 That leaves with this

15x/15=125/15 Now I divide 15 from both sides to isolate x

x= 8.33333 that is the answer

check

3x+2(4+6x)=133

3*8.333333+2(4+6*8.333333)=133

24.999999 +2(4+ 49.999998)=133

24.999999+2( 53.999998)=133

24.999999+107.999996=133

132.999995=133

You can not get an exact answer for this problem

4 0

3 years ago

If four of the exterior angles of a convex pentagon measure

MakcuM [25]

Answer:

120 degrees.

Step-by-step explanation:

The 5 exterior angles sum to 360 degrees.

So the 5th exterior angle = 360 - 4(60)

= 360 - 240

= 120 degrees.

3 0

3 years ago

Read 2 more answers

If f(x)= x and g(x) = x - 4 which translation is applied to f(x) to get g(x)

Dafna1 [17]

F(g(x)) = f(x-4) = (x-4)
g(f(x)) = g(x) = x-4

3 0

3 years ago

Pls help me in this i really need help :( :)

Andrews [41]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

First off, let's write the line in point-slope form:

$\rm \hookrightarrow (y-y_0)=m(x-x_0)$

(x₀, y₀) any random point on the line
'm' is the value of the slope

Let's calculate the slope:

$\rm \hookrightarrow Slope = \frac{y_2-y_1}{x_2-x_1}$

(x₁, y₁): any random point on the line ⇒ (-2, -6)
(x₂,y₂): any random point on the line that is not (x₁, y₁) ⇒ (2, -3)

$\rm \hookrightarrow slope = \frac{-3--6}{2--2} =\frac{3}{4}$

Now that we found the slope, let's put it into the point-slope form

⇒ we need (x₀, y₀) ⇒ let's use (2,-3)

$(y-(-3))=\frac{3}{4} (x-2)\\y+3=\frac{3}{4} (x-2)$

The equation, however, could also be put into 'slope-intercept form'

⇒ gotten by isolating the 'y' variable to the left

$y = \frac{3}{4}x-\frac{9}{2}$

Answer: $y = \frac{3}{4}x-\frac{9}{2}$ or $y+3=\frac{3}{4} (x-2)$

*Either equations work, put the one that you are the most familiar with

Hope that helps!

#LearnwithBrainly

5 0

1 year ago