Decide if the following biconditional statement
is true or false;
A triangle is equilateral if and only if three sides
are congruent.
True
False

Given:

In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle UWY=91-7x[/tex]

To find:

The measure of angle XYV.

Solution:

Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.

If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.

[tex]\angle XYV \cong \angle UWY[/tex]         [Corresponding angle]

[tex]m\angle XYV=m\angle UWY[/tex]

[tex]7x+21=91-7x[/tex]

We need to solve this equation for x.

[tex]7x+7x=91-21[/tex]

[tex]14x=70[/tex]

[tex]x=\dfrac{70}{14}[/tex]

[tex]x=5[/tex]

Now,

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle XYV=7(5)+21[/tex]

[tex]m\angle XYV=35+21[/tex]

[tex]m\angle XYV=56[/tex]

Therefore, the measure of angle XYV is 56 degrees.

Answer:

Step-by-step explanation:

A+B+C+D=360 degree(sum of all sides of a parallelogram)

60+4x+60+4x=360

120+8x=360

8x=360-120

x=240/8

x=30

Answer:

75.36 cm

Step-by-step explanation:

C=(3.14)24

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

Answer:

5cm

Step-by-step explanation:

c^2=a^2+b^2

b^2=square root c^2-b^2

=square root 13^2-12^2= 5

Answer:

The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the y-value.

Answer:

the second one

Step-by-step explanation:

Answer:

D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

65% of the customers have dogs:

This means that [tex]p = 0.65[/tex]

15 customers:

This means that [tex]n = 15[/tex]

What type of variable is D?

D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]

Answer:

binomial

Step-by-step explanation:

Answer:

[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]

Answer:

-86/1

Step-by-step explanation:

subtract and convert

Answer:

$2284.6

Step-by-step explanation:

Given data

Principal= $200

Rate= 7%

Time= 1980-2016= 36 years

The expression for the exponential model is given as

A= P(b)^t

b=1+r-----------because will are dealing with increase

A= P(1+r)^t

A=200(1+0.07)^36

A= 200(1.07)^36

A= 200*11.423

A=$2284.6

The value of the card is $2284.6

Answer:

Okay so

Directions: find the value of x?

122 + 68 divided by 2

x = 95 degrees

Step-by-step explanation:

Answer:

E and F

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{m+n}[/tex] , then

[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = [tex]5^{4+x}[/tex]  → F

or

[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = 625 × [tex]5^{x}[/tex] → E

Answer: (-3,2)

Step-by-step explanation:

-3 in the x-axis

2 in the y - axis

Answer:

Interesting... go on.

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

2x+6 = 60 because equaliteral triangle has 60 degrees per angle, and trangle with sum of all angles = 180 degrees

60=2x+6

54=2x

x=27

Answer:

provides information about the strength of a relationship

Step-by-step explanation:

A numerical measure of strength in the linear relationship between any two variables is called the Pearson's product moment correlation coefficient.

The co efficient of correlation is a pure number denoted by r , independent of the units in which the variables are measured that can range from+1 to -1 .

The sign of r indicates the direction of the cor relation.

When r= 0 it does not mean that there is no relationship . For example if the observed values lie exactly on a circle , there is a relationship between variables but r = 0  as r only measure linear cor relation.

The 2nd statement given is the correct answer.

It is not related to ordinal or nominal properties and it does show direction.

Answer:

2(23)+29

2(23)+29

=528

Step-by-step explanation:

Answer:

5/8 ft²

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 5/3 ft

Height = 3/4 ft

Area of a triangle = 1/2 * base * height

= 1/2 * 5/3 ft * 3/4 ft

Multiply numerator separately and denominator separately

= (1 * 5 * 3) / (2 * 3 * 4) ft²

= 15/24 ft²

= 5/8 ft²

Area of a triangle = 5/8 ft²

Answer:

x = amount of pure acid to be added = 6.67ml

Step-by-step explanation:

George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you add?

let

x = amount of pure acid to be added

15% of 50 + x = 25% of 50 + x

(0.15 * 50) + x = 0.25(50 + x)

7.5 + x = 12.5 + 0.25x

Collect like terms

x - 0.25x = 12.5 - 7.5

0.75x = 5

x = 5/0.75

x = 6.6666666666666

Approximately,

x = 6.67

x = amount of pure acid to be added = 6.67ml

Answer:

[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.

[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]

SOLUTION :-

Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]

Answer:

3 and 5 show how to convert 18 inches into yards

Answer:

Numer 3 and number 5.

Answer:

for finding x

x+133=180(being linear pair)

x=180-133

x=47 degree

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

→ Work out APD

133°

→ Find the sum of APC and DPB

360 - ( 133 + 133 ) = 94

→ Divide the answer by 2

94 ÷ 2 = 47°

The area of square four is a² + b² + 2ab

The area of a square = l²

The Area so the two square = a² + b²

Area of the  triangles = 4(0.5ab) = 2ab

Add the area together

Area of the square four = area of square + area of 4 triangles

Area of the square four = a² + b² + 2ab

Hence the area of the square four is a² + b² + 2ab

Learn more on area of square here: https://brainly.com/question/13389992

Answer:

(-26, 32)

Step-by-step explanation:

Answer:

B. 17.50(x + y)

Step-by-step explanation:

So lets find the equation for monday:

It would be 17.50 times x

or:

17.50(x)

For Tuesday:

17.50 times y

17.50(y)

17.50(x) + 17.50 (y) = 17.50(x+y)

Or B.

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

Arc length of the semicircle is 12.57 cm.

Step-by-step explanation:

From the given picture,

Measure of diameter = 8 units

Radius of the semicircle = [tex]\frac{\text{Diameter}}{2}[/tex]

                                        = [tex]\frac{8}{2}[/tex]

                                        = 4 units

Since, circumference of a semicircle is given by the expression,

C = πr

Here, r = radius of the semicircle

Circumference of the given semicircle = π(4)

                                                                = 4π

                                                                = 12.57 cm

Therefore, arc length of the semicircle is 12.57 cm.

Answer:

Its 16 pi

Step-by-step explanation: