If the measure of <1 is 64 degrees, what is the measure of <4?

Answer:

[tex]\huge\boxed{m \angle 4 = 105 \textdegree}[/tex]

[tex]\huge\boxed{m \angle 5 = 75 \textdegree}[/tex]

[tex]\huge\boxed{m \angle 6 = 105 \textdegree}[/tex]

Step-by-step explanation:

We can use basic angle relationships to find the measures of m∠4, m∠5, and m∠6.

We know that angles m∠3 and m∠2 are supplementary. This means their angle lengths add up to 180°. Since we know the expression for both, we can add them and solve for x.

So x = 75°, aka m∠3 is 75°. This means m∠2 is going to be [tex]75+30=105[/tex]°.

m∠4 is an opposite angle to m∠2. This means their angle lengths are the same. Therefore, m∠4 is 105°.

We also know that m∠3 and m∠5 are alternate interior angles, meaning their angle lengths are the same. Since m∠3 is 75°, m∠5 is also 75°.

We also know that m∠6 is a corresponding angle to m∠2. This means their angle lengths are the same. Since m∠2 is 105°, m∠6 is also 105°.

Hope this helped!

Answer:

So for the triangle, we have x = 25 and the angles 45-75-60.

So for the quadrilateral, we have x = 75 and the angles 70-110-75-105.

Step-by-step explanation:

For each of these problems, we can simply add the expressions of the angles given matched to the sum of the angles for the shape given below.  Once we do this, we can solve for x, and then state the given measures of each angle of the shapes.

For the triangle:

60 + ( x + 20 ) + 3x = 180

60 + x + 20 + 3x = 180

60 + 20 + x + 3x = 180

80 + x ( 1 + 3 ) = 180

80 + x ( 4 ) = 180

80 + 4x = 180

4x = 100

x = 25

We have the given angles:

x + 20 ==> 25 + 20 ==> 45

3x ==> 3 (25) ==> 75

60

So for the triangle, we have the angles 45-75-60.

For the quadrilateral:

( x - 5 ) + ( x + 35 ) + x + 1.4x = 360

x - 5 + x + 35 + x + 1.4x = 360

35 - 5 + x + x + x + 1.4x = 360

30 + x ( 1 + 1 + 1 + 1.4 ) = 360

30 + x ( 4.4 ) = 360

30 + 4.4x = 360

4.4x = 330

x = 75

So, we have the given angles:

x - 5 ==> 75 - 5 ==> 70

x + 35 ==> 75 + 35 ==> 110

x ==> 75

1.4x ==> 1.4(75) ==> 105

So for the quadrilateral, we have the angles 70-110-75-105.

Cheers.

Answer:

See Below

Step-by-step explanation:

Take the the given information and compare to the question being asked

[tex]\frac{y}{x}[/tex]. So insert the x & y's of both equations (ima do y over x to make it easier)

[tex]\frac{14}{4} =\frac{y}{40}[/tex]

divide 14/4

3.5 = [tex]\frac{y}{40}[/tex]

then multiply both sides by 40 to isolate y

140 = y

Check by reinserting 140 and divide it by 40

Answer:

y= 140

Step-by-step explanation:

if they are directly proportional, that means when one increases/decreases the other does as well.

x increased by multiplying itself by ten. Like before, since they are both directly proportional that means that y is multiplied by 10.

14*10= 140, y=140

Answer:

$17,325

Step-by-step explanation:

24,750 × 30/100

= 2,475 × 3

= $7,425

the car is depreciated by $7,425

now the price in the 2nd year is,

24,750 - 7,425

= $17,325

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 times 2=4

Answer:

0.0000006

Step-by-step explanation:

Answer:

The Eagles lost 2 yards

Step-by-step explanation:

Say The Eagles are on the 50 yard line, they lose 13. Now sitting back at the 37 yard line, they run a play that gains them 18 yards, putting them on the opponents 45 yard line. Then they lose seven yards moving them back to their 48 yard line. only losing two yards from where they started

Answer: Total yardage was a loss of 2 yards.

Step-by-step explanation: Losses

-13-7 = -20. Gain +18

Compare or subtract 18-20= -2

Answer:

kitchen sink

Step-by-step explanation:

a water tower carries a couple tons of water while a bottle of hairspray will carry *maybe* one.

Answer:

kitchen sink

Step-by-step explanation:

bottle can't have more than a litre, water tower has thousands of litres, so kitchen sink is the correct answer

Answer:

I SEE... I SEE

Answer:

I believe it's a winsome pet

Step-by-step explanation:

5 stars

Answer:

It is the last one. (16 for 2 tickets)

Step-by-step explanation:

To make it a unit fraction you have to divide the denominator by itself to get 1. 2 divided by 2 equals 1. To keep the fraction equivalent divide the numerator by 2 as well. That equals 8. This makes the unit rate

1/8 Which is the biggest

Answer:

The gum

Step-by-step explanation:

Please mark me brainlest

Answer:

The third one

Step-by-step explanation:

Answer: slope is 3/4

Step-by-step explanation:

y over x

Answer:

Slope is the ratio of the rise to the run.

The slope tells you how steep a line is.

A negative slope goes up to the left and down to the right.

slope is 3/4

Step-by-step explanation:

The two numbers such that their square roots about 40 apart will be 2401 and 81.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's consider the number 8² = 64

Now, 64 - x = 40

x = 64 -40 = 24 and it is not a square of any number.

Take, 7² = 49

49 - x = 40

x = 9 it is a square of 3.

Thus, 7² - 3² = 40

So, 49² = 2401 and 9² = 81

Hence "The two numbers such that their square roots about 40 apart will be 2401 and 81".

For more about the number system,

https://brainly.com/question/22046046

#SPJ25

Answer:

6:12

Step-by-step explanation:

the bottom row is in multiples of 3

top is multiples of 2

and they must be double from the neumerator so the answer is 6:12

Answer:

d and a c

Step-by-step explanation:

(-3,0)

(4, - 2)

(0, – 3)

Answer:

-3a-1/2b

or -3a-0.5b

Step-by-step explanation:

1/2(2a+b)-(4a+b)

a+1/2b-4a-b (Evaluate Exponents)

-3a-1/2b (Combine like Terms)

Answer:

9 is the height of the scale model in inches.

Step-by-step explanation:

230/25 = 9

Answer: A. Angle 1 and Angle 7

Step-by-step explanation:

A: Angle 1 and 7 are same side exterior angles so they are not equal but add up to 180 degrees and supplementary angles add up to 180 degrees.

B. Angle 3 and Angle 6 are alternate interior angles so Angle 3 and Angle 6 are equal.

C. Angle 2 and Angle 7 are alternate exterior angles so Angle 2 and Angle 7 are equal.

D. Angle 1 and Angle 4 are vertical angles so Angle 1 and Angle 4 are equal.

The pair of angles that demonstrate a pair of supplementary angles in the given figure would be:

A). Angle 1 and Angle 7

Supplementary angles are characterized as the two angles(one angle added to another referenced angle) that together sum up to be 180 degrees.

For example, the pair of 70° and 110° angles would be characterized as supplementary angles as they have a total of 180°.

Learn more about 'angles' here:

brainly.com/question/14954407

Answer: she distributed the x values wrongly

Step-by-step explanation:

-2-(-4) = -2 +4

Answer:

C/or she made a mistake when she subtracted x1 from x2

Step-by-step explanation:

i took the test and i got it right.

Answer:

-3/4

Step-by-step explanation:

hope i helped

Answer:

-11/2 divided by 22/3 is -0.75

Step-by-step explanation:

-11/2= -5.5

22/3= 7.3

-5.5 divided by 7.3  = -0.75

5555.555550006874

Step-by-step explanation:

Answer: the answer is A

Step-by-step explanation: 400 times 2.5 is 1000 and 250 times 2.5 is 625 and together they equal 1625