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2 years ago

Will mark brainliest! Questions are in the picture!

Mathematics

1 answer:

serg [7]2 years ago

5 0

Option a, c,d are correct.
step-by-step explanation:
from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have
tz=sz(given)
bz=zb(common)
therefore, by rhs rule,δtzb ≅δszb
by cpctc, sz≅tz
also, from δctz and δasz,
tz=sz(given)
∠tcz=∠saz(90°)
by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz
also,from δasz and δzsb,
zs=sz(common)
∠zbs=∠saz=90°
by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb
hence, option a, c,d are correct.

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TRANSLATE EACH SENTENCE INTO AN EQUATION.

Anastaziya [24]

Ok here are my interpretations for these sentences.

1.)2r+3s=13
2.)t/40=12-(1/2*s)
3.)200-3x=9
4.)1/3x+25=2x
5.)m^2-n^3=16
6.)2z=2(v+z)

Hope this helps!=)

5 0

3 years ago

In triangle ABC , side AB is 6 and side AC is 4: Which statement is needed to prove that segment DE is parallel to segment BC an

Andreyy89

Answer:

Segment AD is 3, and segment AE is 2.

Step-by-step explanation:

In a triangle, the line joining the mid points of two sides is parallel and half of the third sides of the triangle.

Here, ABC is a triangle,

In which,

AB = 6,

AC = 4,

D∈ AB and E∈AC

Let DE ║BC,

And, $DE=\frac{1}{2}BC$

In triangles ADE and ABC,

$\angle ADE\cong \angle ABC$ ( Alternative interior angle theorem )

$\angle AED\cong \angle ACB$

By AA similarity postulate,

$\triangle ADE\sim \triangle ABC$

∵ Corresponding sides of similar triangle are in same proportion,

$\implies \frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}$

$\frac{AD}{AB}=\frac{AE}{AC}=\frac{BC}{2BC}$

$\frac{AD}{AB}=\frac{AE}{AC}=\frac{1}{2}$

$\implies AD = \frac{AB}{2}\text{ and }AE =\frac{AC}{2}$

$\implies AD = \frac{6}{2}=3\text{ and }AE =\frac{4}{2}=2$

Hence, the correct option would be,

Segment AD is 3, and segment AE is 2.

4 0

3 years ago

Jordan wants to solve the following system using the elimination method:

sergeinik [125]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

2x + 3y = 10 → (1)

x + y = 7 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate y

- 3x - 3y = - 21 → (3)

Add (1) and (3) term by term to eliminate y, that is

- x = - 11 ( multiply both sides by - 1 )

x = 11

Substitute x = 11 into either of the 2 equations and evaluate for y

Substituting into (2)

11 + y = 7 ( subtract 11 from both sides )

y = - 4

Solution is (11, - 4 )

6 0

4 years ago

To celebrate the first day of a leap year, I taught my dog to jump through a hoop. It was a Sunday. When he taught me the same t

juin [17]

Answer:

Tuesday

Step-by-step explanation:

364/7 = 52, meaning that 364 days later will also be a Sunday. 2 days after that (366 as it is a leap year) would be a Tuesday.

8 0

4 years ago

Write your question here (keep it simple and clean)

Lorico [155]

Each square on the grid represent 1m2 what is the aproximate area of the grassy field A about 5 mt to 15m2 B 20m2 to 30m2 C 35m2 to 45m2 please help me

3 0

3 years ago