In the diagram shown, line mm is parallel to line nn. Cruz says that ∠4∠4 and ∠6∠6 are congruent angles. Is he correct? Why or why not?a) Yes, because they are both obtuse angles
b)Yes, because ∠4∠4 and ∠7∠7 are congruent corresponding angles, and ∠6∠6 and ∠7∠7 are vertical angles.
c)No, because ∠4∠4 and ∠6∠6 are not right angles.
d)No, because ∠4∠4 and ∠5∠5 are not congruent, and ∠5∠5 and ∠6∠6 are not congruent.

Answers

Answer 1

Answer:

Yes, because ∠4 and ∠7 are congruent corresponding angles and ∠6 and ∠7 are vertical angles. Then the correct option is B.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

In the diagram shown, line m is parallel to line n. Cruz says that ∠4 and ∠6 are congruent angles.

Angle ∠6 and angle ∠7 are the vertical angles. Then they are equal.

∠6 = ∠7 ...1

And angle ∠7 and angle ∠4 are the corresponding angles. Then they are equal.

∠7 = ∠4 ...2

Then from equations 1 and 2, we have

∠4 = ∠6

More about the angled link is given below.

brainly.com/question/15767203

#SPJ2

Answer 2

Answer: well both a and b are correct because angles 4,6, and 7 are all congruent.
4 and 6 are alternate interior angles, 4 and 7 are corresponding angles, and 6 and 7 are vertical angles all equaling the same degree. so i would go with B only because it backs it up with proof and a is just an observation.

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Tim is designing a logo. The logo is a polygon. Whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle. The square and equilateral have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.

Answers

Given:
2 shapes : square and equilateral triangle
side length = 2 cm
height of equilateral triangle = 1.7 cm

Equilateral triangle means that all sides are of equal measurement.

Area of a Square = a² ⇒ (2cm)² = 4cm²
Area of an equilateral triangle = √3/4 * a²
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The population of a country increased by an average of 2% per year from 2000 to 2003. If the population of this country was 2 000 000 on December 31, 2003, then the population of this country on January 1, 2000, to the nearest thousand would have been.

Answers

14 +15= 29.......................................................

3a + 2 - 5a = -14. Can someone solve this for me.

Answers

Answer:

a=8

Step-by-step explanation:

3a + 2 - 5a = -14

Combine like terms

-2a +2 = -14

Subtract 2 from each side

-2a +2-2 = -14-2

-2a = -16

Divide each side by -2

-2a/-2 = -16/-2

a = 8

Answer:

a = 8

Step-by-step explanation:

-2a + 2 = -14

-2a = -16

-16/-2 = 8

a = 8

Sylvia draws a scale model of her room in feet on a coordinate grid. The corners are located at (-8,4), (3, 4), (3, -6), and (-8, -6). She wants to apply a border all the way around the top of the walls. what is the length in feet of the border Sylvia needs?I'm learning perimeter

Answers

$(3-(-8))+(4-(-6))+(3-(-8))+(4-(-6))\n(11)+(10)+(11)+(10)\n42$

42 feet

Use the Distributive Property to expand the expression z(−6.4−3.5x)

Answers

Answer: $-6.4z-3.5xz$

Step-by-step explanation:

The distributive property is given by :-

$a(b+c)= ab+bc$

or $(b+c)a= ba+ca$ , where a, b , c are some algebraic expressions.

The given expression: z(−6.4−3.5x)

Then , by distributive property we have

$z(-6.4-3.5x)= z *-6.4 -z*3.5 x\n\n=-6.4z-3.5xz$

Thus , the required expression will be $-6.4z-3.5xz$

Answer:

-6.4z- (3.5x)

Step-by-step explanation:

cant do z times x

7a. Your gym membership costs $20 per month after an initial membershipfee of $44. Write an equation that gives the total cost as a function of the
length of your gym membership (in months).
CLEAR
b. Find the total cost after 6 months.
months

Answers

Answer:

a. C=20x + 44 where C is total cost, and x is the number of months.

b. $164

Step-by-step explanation:

Where C is total cost, and x is the number of months, we get the equation

C=20x + 44

the 20 is the monthly fee and the 44 is the initial membership fee which is only paid once.

To get the answer for b plug in 6 as the x. The equation gives you the answer $164.

Part A would be C=20x+44

For part b, you plug in 6 to that equation and you get $164

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