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3 years ago

Original Price: $.75 Discount: ? Sale Price: $.15 What’s the discount

1 answer:

6 0

First we find out what percent the sale price is of the original price.

0.15 / 0.75 x 100 = 20%

Then we subtract this from 100% to get the discount:

100 - 20 = 80% discount

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MATH QUESTIONS!!!<br> Geometry Questions? (20 PTS)

IgorLugansk [536]

Questions 1-3
A triangle is:
either scalene, isoceles, or equilateral, and
either acute, right, or obtuse.

Question 1: The triangle is right b/c it has a right angle.
The triangle is isoceles because it has two congruent sides.
Right isoceles triangle

Question 2: The triangle is obtuse b/c it has an obtuse angle. (>90°)
The triangle is isoceles b/c it has two congruent sides.
Obtuse isoceles triangle

Question 3: All angles in a triangle add up to 180°. Let's find the 3rd angle.
180 - (80 + 60) = 180 - 140 = 40°
Congruent angles $\doublearrow$ congruent sides, so...
If the angles are all different, the sides are all different and the triangle is scalene. It is also acute because all angles are <90°.
Acute scalene triangle

Question 4
An exterior angle of a triangle = the sum of its remote interior angles.
what does this mean? In this case, it means that
4x + 10 = 50 + x + 5
The reason this works: <ACD is supplementary to <ACB, so they must both add up to 180. Likewise, the angles of the triangle <ACB, <BAC, and <ABC all add up to 180. Since both = 180, we can set them equal (substitution prop)
m<ACD + m<ACB = m<ACB + m<BAC + m<ABC
subtract m<ACB from each side
m<ACD = m<BAC + m<ABC
now let's solve our equation.
4x + 10 = 50 + x + 5
4x + 10 = 55 + x
subtract x from each side
3x + 10 = 55
subtract 10 from each side
3x = 45
divide by 3
x = 15
the measure of the interior angle = (x+5)° = (15+5)° = 20°
the measure of the exterior angle = (4x+10)° = (4(15)+10)° = (60+10)° = 70°

Question 5
As we can see from the diagram...
AB = CD, AD = BC
<ABD = <BDC, <ADB = <CBD
Also obvious from the reflexive prop...
BD = BD
And because the three angles add up to 180° and we know that two of them are the same, the third must be the same as well.
<A = <C
(three points don't need specified because only one angle is possible with this vertex)

Question 6
Because the angles in a triangle add up to 180°...
m<A + m<ADB + m<ABD = 180°
We know that m<A = 60°...
60 + m<ADB + m<ABD = 180°
We know that m<DBC = 70°, and from the diagram, <ADB is cong. to <DBC.
Therefore m<ADB = 70°.
60 + 70 m<ABD = 180°
130 + m<ABD = 180°
m<ABD = 50°

4 0

3 years ago

Read 2 more answers

Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (3, 1, 0) and perpendicu

iren2701 [21]

Answer with Step-by-step explanation:

We are given that a point (3,1,0)

Two vectors are

A=<1,1,0>

B=<0,1,1>

$A\times B=\begin{vmatrix}i&j&k\\1&1&0\\0&1&1\end{vmatrix}$

$A\times B=i-j+k$

Let v $=A\times B=i-j+k$

$v==$

$r_0==$

$r=r_0+vt$

Substitute the values then we get

$r=+t$

$r=$

The parametric equation of the line

$x=x_0+at,y=y_0+bt,z=z_0+ct$

Using the formula

The parametric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by

$x=3+t,y=1-t,z=t$

The symmetric equation of the line is given by

$\frac{x-x_0}{a}=\frac{y-y_0}{b}=\frac{z-z_0}{c}$

Using the formula

The symmetric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by

$\frac{x-3}{1}=\frac{y-1}{-1}=z$

8 0

4 years ago

Linear or non linear

Elza [17]

Answer: linear

Step-by-step explanation:

as you can see the equation are smetrical and vertically placed on the equator outline in math terminology and the line of out border matches with the z in parrellelement and equation. with that being said it is linear.

6 0

3 years ago

Read 2 more answers

Suppose a+b = 2aa+b=2aa, plus, b, equals, 2,

Trava [24]

B-a=0.

Starting from the original equation,
a+b=2a

We can isolate b by subtracting a from both sides:
a+b-a=2a-a
b=a

Substituting this into b-a, we have
a-a = 0

3 0

3 years ago

Anybody know the answer??

Anastasy [175]

The first one. 1 machine= x 5 mach.=5x. Total time is thus 5x+2/3=1 3/4h. Simply find x by doing 105min-40min/5 and that is 13.

4 0

4 years ago