1answer.
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
Nataliya [291]
3 years ago
5

1. For triangle TRI, the following facts are given:

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0
B.) Triangle TAN being an image of triangle TRI is smaller than triangle TRI, and so is a contraction.

c.) TA/AN = TR/RI
3.3/6 = (3.3 + AR)/8
6(3.3 + AR) = 8 * 3.3 = 26.4
3.3 + AR = 26.4/6 = 4.4
AR = 4.4 - 3.3 = 1.1
AR = 1.1

d.)  TA/TN = TR/TI
3.3/TN = (3.3 + 1.1)/(TN + 1.6)
3.3(TN + 1.6) = 4.4TN
3.3TN + 5.28 = 4.4TN
4.4TN - 3.3TN = 5.28
1.1TN = 5.28
TN = 5.28/1.1 = 4.8
TN = 4.8

You might be interested in
Helppp meee plssss
Volgvan

Answer:

  • Cost of fish = Php. 60, amount of fish = x kg
  • Cost of chicken = Php. 120, amount of chicken = y kg
  • Budget = at most Php. 1200

a) <u>Required inequality (not a system as only one condition is given):</u>

  • 60x + 120y ≤ 1200

<u>Simplified:</u>

  • x + 2y ≤ 20
  • <em>The graph is attached</em>

b) <u>Verify ordered pair (10, 7):</u>

  • 10 + 2*7 ≤ 20
  • 24 ≤ 20

False inequality, so this pair is out of solution set

8 0
3 years ago
How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof?
lilavasa [31]

All the theorems are proved as follows.

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices and three angles.

1. The Triangle sum Theorem

According to the Triangle Sum Theorem, the sum of a triangle's angles equals 180 degrees.

To create a triangle ABC, starting at point A, move 180 degrees away from A to arrive at point B.

We turn 180 degrees from B to C and 180 degrees from C to return to A, giving a total turn of 360 degrees to arrive to A.

180° - ∠A + 180° - ∠B + 180° - ∠C = 360°

- ∠A - ∠B  - ∠C = 360° - (180°+ 180°+ 180°) = -180°

∠A + ∠B  + ∠C = 180°

(Hence Proved)

2. Isosceles Triangle Theorem

Considering an isosceles triangle ΔABC

with AB = AC, we have by sine rule;

\rm \dfrac{sinA}{BC} =  \dfrac{sinB}{AC} =  \dfrac{sinC}{AB}\\

as AB = AC

sin B = sin C

angle B = angle C

3.Converse of the Isosceles theorem

Consider an isosceles triangle ΔABC with ∠B= ∠C, we have by sine rule;

\rm \dfrac{sinA}{BC} =  \dfrac{sinB}{AC} =  \dfrac{sinC}{AB}\\

as  ∠B= ∠C ,

AB = AC

4. Midsegment of a triangle theorem

It states that the midsegment of two sides of a triangle is equal to (1/2)of the third side parallel to it.

Given triangle ABC with midsegment at D and F of AB and AC respectively, DF is parallel to BC

In ΔABC and ΔADF

∠A ≅ ∠A

BA = 2 × DA, BC = 2 × FA

Hence;

ΔABC ~ ΔADF (SAS similarity)

BA/DA = BC/FA = DF/AC = 2

Hence AC = 2×DF

5.Concurrency of Medians Theorem

A median of a triangle is a segment whose end points are on vertex of the triangle and the middle point of the side ,the medians of a triangle are concurrent and  the point of intersection is inside the triangle known as Centroid .

Consider a triangle ABC , X,Y and Z are the midpoints of the sides

Since the medians bisect the segment AB into AZ + ZB

BC into BX + XB

AC into AY + YC

Where:

AZ = ZB

BX = XB

AY = YC

AZ/ZB = BX/XB = AY/YC = 1

AZ/ZB × BX/XB × AY/YC = 1 and

the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).

To know more about Triangle

brainly.com/question/2773823

#SPJ1

8 0
2 years ago
Hi guys can you answer 2 math question ​
Anika [276]
2) 8/10 7/10 3/10 5/10
6 0
3 years ago
Read 2 more answers
Is it true or false?? i will mark brainlest the correct answer
mrs_skeptik [129]

Answer:

True

Step-by-step explanation:

In order to calculate this, we simply need to replace the variable c with the value of -8 and solve the inequality.

-9c >= 63

-9 * -8 >= 63

72 >= 63

Since both values are negative the product will be positive. This product is 72 which is in fact greater than 63, thus making the statement True

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=3%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%20%7D%20-2%3D7" id="TexFormula1" title="3\sqrt[3]{x^{2} } -2=7"
Natali [406]

Answer:

14

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 15/35 in simplest form
    15·2 answers
  • How do you solve 7x-3y=24
    6·2 answers
  • Find the quotient of <br> 1<br> 4<br><br> ÷<br> 3<br> 8<br><br> in simplest form
    9·2 answers
  • How to solve a-2+3=-2
    8·1 answer
  • What is the square root of 7? Decimal form please. Person with the most decimal places gets brainliest.
    5·1 answer
  • Leo estimates that a package weighs 24 pounds. When he goes to the post office to weigh it, he finds out that it actually weighs
    9·2 answers
  • A VERTICAL line passes through the point (4, 5). Find an equation for this line.
    9·1 answer
  • Mary has 2 1/3 yards of fabric.<br><br><br><br> She wants to cut the fabric into 1/6 yard strips.
    10·2 answers
  • Factoring trinomials
    5·1 answer
  • 15 divided by 0.3 + 6 divided by 0.02
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!