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Naily [24]
1 year ago
5

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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dalvyx [7]

Answer: it only say 25 why lie :(

Step-by-step explanation:

5 0
2 years ago
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tatuchka [14]

Answer:

Mammals: 30 | 50%

Reptiles & Amphibians: 15 | 25%

Fish & Insects: 3 | 5%

Birds: 12 | 20%

Step-by-step explanation:

Total Amount of Animals: 60

50% of 60 = 30

25% of 60 = 15

5% of 60 = 3

20% of 60 = 12

7 0
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

so

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

so

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

The vertex is the point (1,8)

so

(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
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