Will all parallelograms have diagonals that are line of symmetry

Answers

Answer 1

Answer: A parallelogram will always have diagonal lines of symmetry. As if you have a look at a picture of a parallelogram, there are clearly diagonal lines of symmetry.

Answer 2

Answer: No, not all, but overall, most of them have diagonal lines of symmetry.

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The base of a triangle is 3 cm longer than its altitude. The area of the triangle is 35cm^2. Find the altitude. (Hint: use the area of a triangle. 1/2 * base * altitude.)

Answers

The altitude of the triangle whose base is 3 cm longer than its altitude is 7cm.

What is triangle?

Triangle is a plane figure with three straight sides and three angles such that the sum of the angles is 180°.

Given is a triangle whose base is 3cm longer than its altitude. The area of the triangle is 35 cm².

Assume that the altitude of the triangle is 'a' cm.

The area of a tringle is given by -

A [T] = 1/2 x base x height.

Now,

Altitude of triangle = a cm

Base of triangle = (a + 3) cm

Substituting the values in the formula of area, we get -

A [T] = 1/2 x base x height

A [T] = 1/2 x a x (a + 3)

a(a + 3) = 35 x 2

a(a + 3) = 70

a² + 3a - 70 = 0

On solving the above quadratic equation, you will get two values of x -

a = - 10 and a = 7

Altitude cannot be negative. Therefore, the altitude of the triangle is 7 cm.

Therefore, the altitude of the triangle whose base is 3 cm longer than its altitude is 7cm.

To solve more questions on tringles, visit the link below-

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The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.

There are 6 rotten mangoes and 24 good mangoes in a bag. What fraction of the mangoes is rotten?

Answers

$\sf \bf {\boxed {\mathbb {Given:}}}$

Total number of rotten mangoes in the bag = 6

Total number of good mangoes in the bag = 24

$\sf \bf {\boxed {\mathbb {To\:find:}}}$

Fraction of the rotten mangoes to the total mangoes.

$\sf \bf {\boxed {\mathbb {Solution:}}}$

$\implies {\blue {\boxed {\boxed {\purple {\sf { (1)/(5) }}}}}}$

$\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}$

Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes

➺ $\:6 + 24$

➺ $\:30$

Now,

Fraction = $(Total \: \: number \: \: of \: \: rotten \: \: mangoes)/(Total \: \: number \: \: of \: \: mangoes)$

➺ $\: (6)/(30)$

➺ $\: (1)/(5)$

Therefore, the fraction of the rotten mangoes to the total mangoes is $\sf\pink{(1)/(5)}$ .

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

Answer:

6/24

Step-by-step explanation:

It is 1/4 in simplest form

H = vt - 16t^2, solve for v

Answers

The equation h = vt - 16t² is solved for v will be given as v = (h + 16t²) / t.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it lessdifficult, is the definition of simplification.

The equation is given below.

h = vt - 16t²

Simplify the equation for v, then the equation is written as,

h = vt - 16t²

vt = h + 16t²

v = (h + 16t²) / t

The equation h = vt - 16t² is solved for v will be given as v = (h + 16t²) / t.

More about the solution of the equation link is given below.

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H=vt-16t²
vt-16t²=H
vt=16t²+H
v=(16t²+H)/t
v=16(t²/t)+H/t
v=16t+H/t

Answer: the answer would be: v=16t+H/t

What is the solution to the quadratic equation 8m^2+7m-15=-7 ?

Answers

make equal to zero
add7 both sides
8m^2+7m-8=0
quadratic fomrula

if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

8m^2+7m-8=0
a=8
b=7
c=-8

x= $\frac{-7+/- \sqrt{7^(2)-4(8)(-8)} }{2(8)}$
x= $(-7+/- √(49+256) )/(16)$
x= $(-7+/- √(305) )/(16)$

x= $(-7+ √(305) )/(16)$ or x= $(-7- √(305) )/(16)$

aprox
x=-1.52902 or 0.654016

What property is illustrated by each statement? 7+(4+4)=(7+4)+4A. Inverse property of addition B. Associative property of addition C. Commutative property of addition

Answers

B
This property dictates that you can add regardless of how the numbers are grouped.

Translate the statement into an equation. Then solve the equation. The sum of 8 and 3 times a number is 23.

Answers

The best way to solve this is to write it out part by part.

The first part is "the sum of 8 and 3," which is (8+3)

The second part is "...times a number," so we have n(8+3)

Lastly, "...is 23," means n(8+3) = 23, so here's the equation. In order to solve for n, divide both sides by (8+3) so 23/(8+3) which is 23/11. So the "number" is 23/11.

Let the number be x
8+3x=23
3x=23-8
3x=15
x=5
The number is 5

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In the diagram, . Triangles P M N and Q S R are shown. The lengths of sides P N and R Q are congruent, the lengths of sides Q S and P M are congruent, and the lengths of sides M N and R S are congruent.If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN?3 in.7 in.20 in.24 in.

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Write an equation in point-slope form for the line through the given point with the given slope.(8, 3); m = 6

The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50. What is the cost of a pizza with 5 toppings? Round to the nearest penny.