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1 year ago

Please help it’s due today!!!

Mathematics

1 answer:

irakobra [83]1 year ago

7 0

Answer:

(a.): m∠ ACB = 40°; (b.): m ∠CBA = 25°; (c.): m ∠CAB = 115°

Step-by-step explanation:

Because Lines AB and DE are parallel, we can use the angle relationships to find the angles.

(For context of the problem, we can label the 40° angle as ∠C and the 155° as ∠B)

(a.) Angles C and ACB are vertical angles, which means they're congruent. Thus m ∠ACB = 40°.

(b.) AB is a straight line and angles B and CBA are supplementary angles. This means their total sum is 180°. We need to subtract angle B from 180 to find m ∠CBA:

$180-155=CBA\\25=CBA$

(c.) We know that the sum of all the angles is 180°. Thus, we can subtract the sum of angles CBA and CBA from 180 to find the m ∠CAB:

$180-(40+25)=CAB\\180-65=CAB\\115=CAB$

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50 points for this question if you answer them all

dalvyx [7]

Answer: it only say 25 why lie :(

Step-by-step explanation:

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2 years ago

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tatuchka [14]

Answer:

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Step-by-step explanation:

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25% of 60 = 15

5% of 60 = 3

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2 years ago

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 5x+7=2y and

Luda [366]

Answer:

The correct option is option B. It has one solution, and it's x=-3

Step-by-step explanation:

We have the following system of equations:

5x+7 = 2y (1)

y-9x=23 (2)

Step 1: Solve for 'y' in equation (2):

y-9x = 23

y = 9x + 23

Step 2: Substitute in equation (1):

5x + 7 = 2y

5x + 7 = 2(9x + 23)

5x + 7 = 18x + 46

Step 3: Solve for x:

7 - 46 = 18x - 5x

-39 = 13x

x= -3

So the correct option is option B. It has one solution, and it's x=-3

7 0

3 years ago

Read 2 more answers

Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit

Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is $2$

Part 2) The vertex is the point $(1,8)$

Part 3) The equation of the axis of symmetry is $x=1$

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is $y=2x^{2}-4x+10$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

$x=h$

In this problem we have

$y=2(x-1)^{2}+8$ -----> this is the equation in vertex form of a vertical parabola

The value of $a=2$

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point $(1,8)$

$(h,k)=(1,8)$

The equation of the axis of symmetry is $x=1$

The equation of a vertical parabola in standard form is equal to

$y=ax^{2}+bx+c$

Convert vertex form in standard form

$y=2(x-1)^{2}+8$

$y=2(x^{2}-2x+1)+8$

$y=2x^{2}-4x+2+8$

$y=2x^{2}-4x+10$

see the attached figure to better understand the problem

7 0

3 years ago

Deborah bought a computer for 25% off the list price. If the list price is $2,428, how much did Deborah spend? A. $607 B. $1,821

Softa [21]

Answer:

Option A, $\$607$

Step-by-step explanation:

Given: Deborah bought a computer for $25\%$ off the list price.

The list price is $\$2,428$ .

To find: The amount Deborah spent on the computer.

Solution: We have,

List price of the computer $=\$2,428$ .

Deborah bought the computer for $25\%$ off the list price.

The amount Deborah spent on the computer $=25\% \times 2,428$

$=\frac{25}{100}\times2428=\frac{2428}{4} =\$ 607$ .

So, Deborah spent $\$607$ on the computer.

Hence, option A is correct.

5 0

2 years ago