answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Annette [7]
2 years ago
13

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a

side of the rectangle he draws. Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU? A. 2 (18 + 4) B. 1/2(18 + 4) C. (18 + 4) D. (18 - 4)
Mathematics
2 answers:
shusha [124]2 years ago
6 0

Answer:

C. (18+4)

Step-by-step explanation:

The answer on ed

Katena32 [7]2 years ago
6 0

Answer:

C.

Step-by-step explanation:

You might be interested in
Write an equation for the 4th degree polynomial graphed below. Use k if your leading coefficient is positive and −k if your lead
Afina-wow [57]
Ho ho ho, lets get this party started
ok so I'm just really excited to use this stuff that I just learned

so

multiplicites
if a root or zero has an even multilicity, the graph bounces on that root
if the root or zero has an odd multiplicty, the graph goes through that root

so
roots are
-1
2
4
multiplicty is how many times it repeats
2 has even multiplity
we just do 2 is odd and 1 is even so
for roots, r1 and r2, the facotrs would be
(x-r1)(x-r2)
so
(x-(-1))^1(x-2)^2(x-4)
(x+1)(x-2)^2(x-4)
this is a 4th degre equaton
normally, it is goig from top right to top left
it is upside down
theefor it has negative leading coefient



y=-k(x+1)(x-4)(x-2)^2
8 0
1 year ago
Read 2 more answers
A food company originally sells cereal in boxes with dimensions 25 cm by 14 cm by 10 cm. To make more profit, the company decrea
hjlf

Answer:

1.75 cm

Step-by-step explanation:

We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.

Now, to increase the profit, the dimensions of the box by 'x' cm.

Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.

Further, it is given that the volume of the new box is 2,208 cm^{3}

As, Volume of the box = Length × Breadth × Height

i.e. 2208 = (25-x) × (14-x) × (10-x)

i.e. 2208 = (25-x) \times (140-24x-x^{2})

i.e. 2208=x^{3}-x^{2}-740x+3500

i.e. x^{3}-x^{2}-740x+1292=0

On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.

Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.

Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.

Hence, the dimensions were decreased by 1.75 cm.

3 0
1 year ago
Connie keeps her sports card collection in a 54-page book. Each page has 9 slots for cards. Football cards take up the first 18
Ierofanga [76]

Answer:

162

Nine time Nine times Two gets you the answer provided

5 0
2 years ago
Read 2 more answers
Of the 100 students enrolled at the dance studio, 50 take ballet and 24 take tap dancing. Eight of the students who take ballet
Soloha48 [4]

Answer:

42 over 100

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
In triangle XYZ, if angle X is congruent to angle Z, XY = 13x - 21, YZ = 8x - 6, & XZ = x + 4, find x & the measure of e
Naily [24]

Answer:

Given: In triangle XYZ, \angle X \cong \angle Z , XY=13x-21 , YZ=8x-6 and XZ=x+4.

If two angles are congruent if and only if, they measure the same  number of degrees.

therefore, from the given condition;  \angle X = \angle Z.

Isosceles Triangle : An triangle with two equal sides. The angles opposite the equal sides are also equal.

Therefore, the triangle XYZ is an isosceles triangle, as the base angle \angle X and \angle Z are equal and the sides opposite to these angles are also equal i.e,  XY=YZ.

Since, we have XY=YZ ,

⇒ 13x-21 =8x-6 or

13x-8x=21-6   or

5x=15

Simplify:

x=3

Therefore, the sides of an isosceles triangle are:

XY = 13x-21 = 13\cdot 3 -21 = 39-21 = 18 unit ,

YZ = 8x-6 = 8 \cdot3 -4 = 24-6 =18 unit,

and XZ = x+4 = 3+4 =7 unit.

Since, the triangle is isosceles, we draw a line from an vertex angle Y of a triangle XYZ which is perpendicular (i.e, of 90 degree angle) to opposite side meets the opposite side at its midpoint i.e, say W.

As W is the midpoint(i.e, it divide the sides into two equal halves),

XW=WZ = \frac{7}{2} =3.5 unit

Now, use the Pythagorean theorem, to find the altitude WY.

⇒ (WY)^2+(WZ)^2=(YZ)^2

Substitute the value of WZ = 3.5 unit and YZ = 18 unit in above formula to calculate the length of WY;

⇒ (WY)^2+(3.5)^2=(18)^2

Simplify:

(WY)^2=324-12.25=311.75 or

WY=\sqrt{311.75}

On simplify we get;

WY=17.65 unit(approx.)

The vertex angle Y is split into two equal angles, we can find the vertex angle by finding the one of the base angle by using the fact; Cosine = \frac{Base}{Hypotenuse}.

⇒ \cos Z =\frac{3.5}{18}

⇒ \cos Z = 0.195(approx) or  

Z=\cos^{-1}(0.195)

Therefore, the angle \angle Z = 78.7^{\circ}.

The sum of the measure of the angle in the triangle is 180 degree.

In triangle XYZ.

\angle X +\angle Y+\angle Z =180^{\circ}

Since \angle X=\angle Z =78.7^{\circ}

then,

78.7^{\circ}+\angle Y+78.7^{\circ}=180^{\circ}

⇒157.4^{\circ}+\angle Y=180^{\circ}

Simplify:

\angle Y=22.6^{\circ}.

Therefore, the measure of each angle are: \angle X=\angle Z=78.7^{\circ} and \angle Y =22.6^{\circ}











8 0
1 year ago
Other questions:
  • The ratio of the number of beads Karen had to the number of beads Patricia had was 2:5 .After Patricia bought another 75 beads,t
    13·1 answer
  • Imagine your friend is writing an argument to convince adults that they should allow teens to own and use smartphones. Read her
    13·1 answer
  • What is the average speed of a runner if he ran 2 1/3 of a mile in 20 minutes?
    5·2 answers
  • Alinethatincludesthepoint(2, 7)has slope of 5 . what isitsequationin slope -intercept form
    15·1 answer
  • Help with maths question please
    11·1 answer
  • Tomer owns a daycare center called kidz kare. One afternoon he collected the age of each person in kidz kare. The following hist
    9·2 answers
  • Marshall invest $4500 into an account bearing 6% interest compounded semiannually. How much interest will be added into this acc
    11·1 answer
  • Customers enter the waiting line at a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribu
    12·1 answer
  • Madeline usually makes 85% of her shots in basketball. if she attempts 20, how many will she likely make?​
    6·2 answers
  • Part A: Michael bought vegetables that weighs 4 and 1 over 8 pounds. How many ounces does the vegetables weigh? Show your work.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!