what is the measure of angle 1?

we know that

The sum of the internal angles in the triangle must be  degrees

see the attached figure with letters to better understand the problem

Step

Find the measure of the angle x

In the triangle ABC

solve for x

therefore

the answer Part a)  is

the measure of angle x is

Step

Find the measure of the angle z

we know that

--------> by supplementary angles

substitute the value of x

therefore

the answer Part b)  is

the measure of angle z is

Step

Find the measure of the angle y

In the triangle ACD

solve for y

therefore

the answer Part c)  is

the measure of angle y is

Answer:

Step-by-step explanation:

Get the difference of one point on M and corresponding point on L, and  find the difference of coordinates.

Lets take top right points:

The difference:

Answer:

5

Step-by-step explanation:

7^2 = (2(6)^1/2)^2 + BC^2 (Pyth. theorem)

BC = 5

Answer:

its supposed to be 6.08 but we can take of..08 so 6

Step-by-step explanation:

[tex]a + b = c \\ ( 2 \sqrt{6} ) {}^{2} + {b}^{2} = {7}^{2} \\ 2 \times 6 + {b}^{2} = 49 \\ {b}^{2} = 49 - 12 \\ {b }^{2} = 37 \\ \sqrt{b} {}^{2} = \sqrt{37} \\ b = 6.08 \: or \: 6[/tex]

Answer:

Step-by-step explanation:

CA and CB are both opposite equal 90 degree angles so are equal so we can say

8x-12=4x

4x-12=0

4x=12

x=3, since CA=4x

CA=4(3)=12

Answer:

interior angle sum = (Number of sides x 180°) - 360°

interior angle sum = (6 x 180°) - 360° = 720°

∠CDE = (720° - 90° - 90°)/4 = 135°

Step-by-step explanation:

second one is right

I hope

9514 1404 393

Explanation:

We have to assume the triangle is a right triangle.

In a 30°-60°-90° right triangle the side lengths have the ratio ...

  short side : long side = 1 : √3

This lets you write the proportion ...

  x/15 = 1/√3

Multiplying by 15 gives ...

  x = 15/√3 . . . . . . matching choice D

__

There are other ways to get there. One of them is ...

  x = 15·tan(30°) = 15/√3

Answer:

x=-5 & y=-2

Step-by-step explanation:

Step 1: Solve y=x+3 for y:

y=x+3

Step 2: Substitute x+3 for y  in 3x-4y =-7:

3x-4y=-7

3x-4(x+3)=-7

-x-12=-7 (Simplify both sides of the equation)

-x-12+12=-7+12 (Add 12 to both sides)

-x=5

-x/1=-5/-1 (Divide both sides by -1)

Step 3: Substitute -5  for x in y=x+3:

y=x+3

y=-5+3

y=-2 (Simplify both sides of the equation)

x=-5 and y=-2

Answer: 15.9 feet

Step-by-step explanation:

Answer:

15.9

Step-by-step explanation:

Answer:

3

Hope that helps!

Step-by-step explanation:

9514 1404 393

Answer:

  D

Step-by-step explanation:

Draw lines through corresponding vertices. Where those lines meet is the center of dilation. It is point D.

Answer:

344

Step-by-step explanation:

Answer:

It should be A

Step-by-step explanation:

I hope this helps

Answer:

4x - 5 = 24

x= 7.25

Step-by-step explanation:

4x - 5 = 24

4x= 24 + 5

x = 29 / 4 = 7.25

I hope im right!!

Answer:

You can use grid method.

That is easy.

Answer:

[tex]\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a} \\\\or\\-\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a}[/tex]

Step-by-step explanation:

The quadratic formula for

[tex]ax^2+bx+c=0[/tex]

the solution is: (-b±√(b²-4ac))/(2a)

The solution is:

[tex]\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a} \\\\or\\-\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a}[/tex]

Answer:

there's nothing there..

Step-by-step explanation:

Answer:

i need the question to answer though

Step-by-step explanation:

Answer:

84 minutes

Step-by-step explanation:

45:54

70:x

45/54=70/x

45x=70x54         - cross multiply

x=70x54/45        - divide by 45

x=84

Answer: 24%

Step-by-step explanation:

Answer:

4/3 minute

Step-by-step explanation:

You can just add up both numbers and simplify it: 5/6+3/6=8/6=4/6.

nsweres el dodeel s  Step-by-step explanationen

Answer:

hello your question is incomplete attached below is the complete question

answer : The vertical asymptote is not relevant since a negative population holds no relevance ( option 3 )

Step-by-step explanation:

attached below is the Graph of P(x) plotted using online tools as part of the solution requested by the question

From the attached graph vertical asymptote is x  = 0

Also from the graph the x-intercept is (2, 0) which means that whenever  a lie is told twice, Nobody believes the lie ( i.e. y = 0 when x = 2 )

Answer:

Answer below (dont flag people if they dont get it right, that's just messed up).

Step-by-step explanation:

The scale factor is 1.5

Answer:

1/2

Step-by-step explanation:

area of larger square: 12 x 12 = 144

area of smaller square: 6√2 x 6√2 = 72

S/B = 72/144 = 1/2

Answer:

50

Step-by-step explanation:

Wen: 30% of the total number of cards = 60 cards

Set this up as an equation

30/100 = 60/x

Cross multiply

30 × x = 100 × 60

30x = 6000

Divide both sides by 30 to isolate the variable

x = 200

There are 200 cards total

Gina: 25% of the total 200 cards

Set this up as an equation

25/100 = x/200

Cross multiply

25 × 200 = 100 × x

5000 = 100x

Divide both sides by 100 to isolate the variable

50 = x

Gina's share is 50 cards

https://www.coursehero.com/tutors-problems/Calculus/16028189-Part-of-a-cross-country-skiers-path-can-be-described-with-the-vector/