Read each statement then select whether it is true or false.
True
False
O
§ * (5 x 8) is one-third of 5 * 8.
24 is two times as much as (12 + 12) 5
5 * 6+5 is five times as much as 6 +5.
is five times as much as 3 + 4.
O
5x

Answer:

The additional information necessary is option;

D. [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex]

Step-by-step explanation:

From the given figure, we have;

Given that ML ≅ MP,

The Hypotenuse Leg HL theorem of congruency is used to prove that a given number of right triangles based on the lengths of their hypotenuse and one of the legs. It states that two or more right triangles are congruent if they have equal lengths of both their corresponding hypotenuse side and one leg

To prove that ΔLMN and ΔPMN are congruent by HL, we will also be required to prove that ΔLMN and ΔPMN are right triangles

For ΔLMN and ΔPMN to be right triangles, the angles, ∠LNM and ∠PNM should be right angles = 90°

With ∠LNM = ∠PNM = 90°, then, line [tex]\overline {MN}[/tex] is perpendicular to line [tex]\overline {LP}[/tex] or  [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex]

Therefore, the additional information necessary to prove that ΔLMN ≅ ΔPMN by HL is [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex].

Answer:

A. one  B. (3, 4)

Step-by-step explanation:

1. A good graph can answer both parts (see attached image).

2. Write equations for the two lines and find a simultaneous solution.

Line A:  Slope from (2, 6) to (5, 0) is [tex]m=\frac{6-0}{2-5}=\frac{6}{-3}=-2[/tex]

Using point-slope form [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-6=-2(x-2)\\y-6=-2x+4\\y=-2x+10[/tex]

Line B:  Slopt from (6, 6) to (0, 2) is [tex]m=\frac{6-2}{6-0}=\frac{2}{3}[/tex]

Using point-slope form, the equation for Line B is

[tex]y-2=\frac{2}{3}(x-0)\\y=\frac{2}{3}x+2[/tex]

To find the simultaneous solution, set the y's equal.

[tex]-2x+10=\frac{2}{3}x+2\\-6x+30=2x+6\\-8x=-24\\x=3[/tex]

Find y using either equation to get y = 4.

Answer:

x

+

1

Step-by-step explanation:

Answer:

= x + 1

Step-by-step explanation:

Answer:

1:

<A=½(arcJL)=½(70+120)=35+60=95°

[inscribed angle is half of central angle]

2:

<W=½arcVX=½(130)=65°

[inscribed angle is half of central angle]

3.

<E=½(arcDC)=½(90)=45°

[inscribed angle is half of central angle]

4.

<R=½(arcXZ)=½(110+62)=86°

[inscribed angle is half of central angle]

5.

<B=½(arc DC)=½×104°=52°

[inscribed angle is half of central angle]

6.

<K=90°

[inscribed angle in a diameter is complementary]

<K+<J+<L=180°(sum of interior angle of a triangle]

<L=180°-90°-53°=37°

again

arc JK=2×<L=2×37=74°

Answer: A and D

Step-by-step explanation:

Answer:

25% off.

Step-by-step explanation:

Here is a link that can help you in the future.

https://www.calculators.org/math/percentage.php

Answer:

EF = 68°

Step-by-step explanation:

If 2 chords of a circle are congruent then the corresponding arcs are congruent.

The central angle FDG is equal in measure to the arc that subtends it

arc FG = 68°

Given EF ≡ FG , then

arc EF ≡ arc FG, so

arc EF = 68°

Answer:

0.81 hour

Step-by-step explanation:

Given data

Distance=  544.32 miles

Speed=  672 miles per hour.

We know that

Speed= distance/time

Substitute

672=  544.32/time

cross multiply

time*672= 544.32

time= 544.32/672

time= 0.81 hour

Answer: [tex]11.78\ in.^3[/tex]

Step-by-step explanation:

Given

Radius of cone [tex]r=1.5\ in.[/tex]

Height of cone [tex]h=5\ in.[/tex]

Ice required to fill the cone=Volume of cone

The volume of a cone is

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Put values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 1.5^2\times 5=11.78\ in.^3[/tex]

Answer:

Method 2: GCF of 16 and 24 by Listing the Common Factors

Common Factors of 24 and 16 : 1, 2, 8 and the greatest among them is 8.

Answer:

hope this helps:) have a good day

Answer:The area of a square is equal to the length of one side squared. Since the square root of 36 is 6, the length of 1 side is 6.

Step-by-step explanation:

Answer:

if your trying to find the area of 10ft and 2 1/2 all you gotta do is turn the 2 1/2 in a decimal and multiply it by 10 which is 25

Step-by-step explanation:

Answer: 10 visit

Step-by-step explanation:

Given

45 Points earned by signing up

11.5 points earned for each visit to the theatre

160 points are needed for a movie ticket

Suppose, after x visit he gets enough points to buy a movie ticket

[tex]\therefore 160=45+11.5x\\\Rightarrow 115=11.5x\\\Rightarrow x=10[/tex]

So, after 10th visit, he earns a movie ticket

Answer:

huh

Step-by-step explanation:

Answer:

m

Step-by-step explanation:

m

Answer:

[tex] {3}^{2} x - 9 = 0 \\ 9x = 9 \\ x = 1[/tex]

Answer:

The dimensions of his scale drawing = 4 cm by 6 cm

Step-by-step explanation:

An urban planner wants to create a city block. The city block will be 50 feet by 75 feet. What will the dimensions of his scale drawing be if the drawing has a scale factor of 1 cm = 12.5 ft?

From the above question

12.5 ft = 1 cm

Hence

For 50 feet

12.5 feet = 1 cm

50 feet = x

Cross Multiply

12.5 × x = 50

x = 50/12.5

x = 4 cm

For 75 feet

12.5 feet = 1 cm

75 feet = x

Cross Multiply

12.5 × x = 75

x = 75/12.5

x = 6 cm

The dimensions of his scale drawing = 4 cm by 6 cm

Answer:

D

Step-by-step explanation:

substitute t=-3 in the equation

3(-3) squared +5(-3)+6=18

Step-by-step explanation:

According to the question , value of t = (-3) . So on directly putting t = (-3) in expression we have ,

[tex]\tt \to 3t^2 +5t+6 \\\\\tt\to 3(-3)^2+5(-3)+6 \\\\\tt\to (3)(9)-15 +6 \\\\\tt\to 27 - 15 +6 \\\\\tt\to \boxed{\orange{\tt 18 }}[/tex]

Answer:

Step-by-step explanation:

We must follow order of operations rules here.

Let the number be x.  Then 5x^2 + 2 = 45.  No parentheses needed here.

Then 5x^2 = 45, and x = ±9

Answer:

B

Step-by-step explanation:

Since it says there has to be MORE than 27 people, 12 + x should be more than 27

Answer:

no and show no pattern

Step-by-step explanation:

with scatter plots like these, there is no exact information at all, what so ever

Answer: 1 11/12 hours

Step-by-step explanation:

Since visitors spend 1/3 of their time waiting in line for rides and the Santos family spends 5¾hours at the park.

The tune spent waiting in line will be calculated by multiplying ⅓ by 5¾. This will be:

= ⅓ × 5¾

= ⅓ × 23/4

= 23/12

= 1 11/12 hours

Therefore, they'll wait in the park for 1 11/12 hours

Answer:

1 and 0

Step-by-step explanation:

Zero is an integer