can someone please help me with this question and show how you figured it out please. ill give brainlyest

Answer:

[tex]m\angle CAB=65^\circ[/tex]

Step-by-step explanation:

Angles and Lines

It's convenient to recall two basic principles of angles:

The sum of internal angles in a triangle is 180°

Two linear angles are supplementary, i.e. they sum 180°.

Angles ABC and CBD are linear. Since we know the measure of angle CBD, thus the measure of angle ABC is 180°-6x.

Now focus on the triangle. The sum of its internal angles is:

x + 40 + 3x + 10 + 180 - 6x = 180

Simplifying:

-2x + 230 = 180

Subtracting 230:

-2x = -50

Dividing by -2:

x = -50 / (-2) = 25

x = 25°

Now find the measure of angle CAB

[tex]m\angle CAB=x+40=25+40=65[/tex]

[tex]\mathbf{m\angle CAB=65^\circ}[/tex]

Answer:

Step-by-step explanation:

Answer:

22.681

Step-by-step explanation:

  1

    4.061

+  18.620

  22.681

Hope this helps!! Have a wonderful day C:

Answer:

Work shown below!

Step-by-step explanation:

2. [tex]g(x)=\frac{1}{2}x+5[/tex]

[tex]g(4) =\frac{1}{2}*\frac{4}{1} +5= 2+5=7[/tex]

[tex]g(-10)=\frac{1}{2}*\frac{-10}{1}+5=-5+5=0[/tex]

[tex]g(0)=\frac{1}{2} *\frac{0}{1} +5=0+5=5[/tex]

Answer:

a)  0.356

b)  1.1397

Step-by-step explanation:

a) log₇2

b) log₇ (¹⁴⁷/₁₆)

          log (7)

Answer:

its D

Step-by-step explanation:

D

Answer:

D. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Answer:

-29.4

Step-by-step explanation:

(-2.1)(-1.4) - 29.4 - 2.94

2.94 - 29.4 - 2.94

          -29.4

Answer:

15.875m

Step-by-step explanation:

8 + 4 + 2 + 1 + 0.5 + 0.25 + 0.125 = 15.875

3.5 × 10 and the 10 has a exponent of negative 5

Answer:

36

Step-by-step explanation:

Ok, so the expression we are given is [tex]x^{4}[/tex] ÷ 3 + 9.

We know that x = 3, so we need to substitute 3 in as x.

So, now the expression looks like [tex]3^{4}[/tex] ÷ 3 + 9.

Now we can solve this expression.

First we need to figure out what  [tex]3^{4}[/tex] is equal to.

1.  [tex]3^{4}[/tex] = 81

We're left with 81 ÷ 3 + 9.

Next, we need to divide our 81 by our 3.

2.  81 ÷ 3 = 27

Our new expression is 27 + 9.

Last, we need to add our 27 and our 9 together.

3.  27 + 9 = 36

Our answer is 36.

So [tex]x^{4}[/tex] ÷ 3 + 9 when x = 3 is 36.

Feel free to give brainliest.

Have a great day!

Answer:

daddy chill

Step-by-step explanation:

what does te guy say?

Answer:

m = 0.28571428571

or 0.29(to the nearest tenth)

Step-by-step explanation:

First, distribute

12(−1.4m+0.4)=

-16.8m + 4.8 =

Now move the constant to the right.

-16.8m + 4.8 =

-16.8m = -4.8 =

Now divide,

-16.8m = -4.8 =

m = 0.28 or 0.29

Answer:

x = 32

y = 51

m∠N = 14°

Step-by-step explanation:

Given:

ΔMNP ≅ ΔTUS

By the property of similarity,

MN ≅ TU, NP ≅ US and MP ≅ TS

m∠M = m∠T = 142°,

m∠N = m∠U = (2x - 50)°

m∠P = m∠S = 24°

Since, m∠N = [180°- (m∠M + m∠P)]

(2x - 50) = 180 - (142 + 24)

2x - 50 = 14

2x = 64 ⇒ x = 32

Since, NP = US,

2x - y = 13

2(32) - y = 13

64 - y = 13

y = 51

m∠N = 180° - (142 + 24)°

          = 14°

The value is x = 32 , y = 51 , and m∠N = 14°

Given that  

Based on the above information, the calculation is as follows:

Here we use the property of similarity,

So,  

MN ≅ TU, NP ≅ US , and MP ≅ TS

Based on this

m∠M = m∠T = 142°,

m∠N = m∠U = (2x - 50)°

m∠P = m∠S = 24°

As

m∠N = [180°- (m∠M + m∠P)]

(2x - 50) = 180 - (142 + 24)

2x - 50 = 14

2x = 64

x = 32

As, NP = US,

2x - y = 13

2(32) - y = 13

64 - y = 13

y = 51

m∠N = 180° - (142 + 24)°

= 14°

Therefore the above are the answers.

Learn more: brainly.com/question/19359082

Answer:

$31.63/hr

Step-by-step explanation:

Given parameters:

 Yearly salary  = $65788

  Number hours worked per week  = 40hrs

Unknown:

Hourly wage  = ?

Solution:

The hourly wage is found by dividing the yearly salary by the total number of hours worked per year.

  There are 52 weeks in a year;

   Number of hours worked per year  = 52 x 40  = 2080hrs

Hourly wage per year = [tex]\frac{65788}{2080}[/tex]   = $31.63/hr

Answer:

Graph B

Step-by-step explanation:

First you solve them which will give you,

X-intercept = (-4,0)

Y-intercept = (0,6)

Slope 3/2x

equation for this: y = 3/2x + 6

So graph B is the only option like this.

Answer:

7 i believe, if not then sorry. bad calculations.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

Answer:

6

Step-by-step explanation:

move the six 2 digits to the left

Answer: The length of JK is 10.5 m

Step-by-step explanation:

Find the circumference C= dπ

C = 12π

C= 37.7

There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.

Multiply the Circumference by 100/360  (or 5/18 × 37.7)

The arc is 10.5 m

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4

Answer:

(-8, 9)

Step-by-step explanation:

A 180 degree rotation is:

[tex](x,y)\rightarrow(-x,-y)[/tex]

Apply the rule to the point given:

[tex](8,-9)\rightarrow\boxed{(-8,9)}[/tex]

Hope this helps.

The image of the point (8,-9) after a rotation of 180° counterclockwise

about the origin is (-8, 9).

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

For points on axes, You can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.

It is noted that for a 180 degree rotation the points move from (x, y) to (-x, -y)

A 180 degree rotation is:

(x, -y) ---  (-x, y)

Apply the rule to the point given:

(8,-9) --- (-8, 9)

Hence, The image of the point (8,-9) after a rotation of 180° counterclockwise about the origin is (-8, 9).

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2

Answer:

f(x) = |x + 2|

General Formulas and Concepts:

Transformations Graph: f(x) = a|bx - c|+ d

Step-by-step explanation:

Step 1: Define

We see a transformation from a parent function of the absolute value.

Parent Graph: f(x) = |x|

Step 2: Find equation of graph

We see the transformation moving horizontally 2 units to the left.

c = -2

f(x) = |x + 2|

Answer:

x=20.5

Step-by-step explanation:

Perimeter of rectangle = 2(L+B)

L- Length and B - Breadth

150 = 2( 2x+4 +30)

150÷2 = 2x + 34

75 = 2x + 34

2x = 75 -34

2x = 41

x = 20.5