All categories

3 years ago

What kind of triangles can you use the HL postulate to prove triangles are congruent

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

You can only prove right triangles congruent with the HL congruence postulate.

You might be interested in

A tile installer plots an irregular shape on grid paper. Each square on the grid represents 1 square centimeter. What is the are

Gelneren [198K]

Answer:

34cm²

Step-by-step explanation:

Find diagram in the attached file.

Since each square on the grid represent 1cm², the length of the each square will be 1cm

Area of the irregular shape can be gotten by breaking the irregular shape into three shapes which are the triangle, rectangle and a parallelogram.

Area of the irregular shape = area of triangle + area of rectangle + area of parallelogram

For TRIANGLE

Area of triangle = 1/2×base×height

Since the base of triangle is on 4square grid,

Base = 4cm

Height = 2cm

Area = 1/2×4×2

Area of ∆ = 4cm²

FOR RECTANGLE

Area of rectangle = Length ×Breadth

Length = 3cm

Breadth = 5cm

Area of the rectangular shape = 3×5

= 15cm²

FOR PARALLELOGRAM

Area of a parallelogram = Base × Height

Base = 5cm

Height = 3cm

Area = 5cm×3cm

Area = 15cm²

Area of the irregular shape = 4cm²+15cm²+15cm²

=34cm²

6 0

2 years ago

A particle moves along a straight line. The distance of the particle from the origin at time t is modeled by the equation below.

laiz [17]

Answer:

The value of t that will satisfy the equation is π/6 (which is 30 degrees)

Step-by-step explanation:

The function that models the movement of the particle is given as;

S(t) = 2 sin(t) + 3 cos (t)

Now we want to the value of t between 0 and pi/2 that satisfies the equation;

s(t) = (2+ 3√3)/2 = 1 + 3√3/2

What we do here is simply find that value of t that would ensure that;

2sin(t) + 3cos(t) = 1 + 3√3/2

Without any need for rigorous calculations, this value of t can be gotten by inspection.

From our regular trigonometry, we know that the sin of angle 30 is 1/2 and its cos value is √3/2

We can make a substitution for it in this equation.

We obtain the following;

2 sin(30) + 3cos (30) and that is exactly equal to 1 + 3√3/2

Do not forget however that we have a range. And the range in question is between 0 and π/2

Kindly that π/2 in degrees is 90 degrees

So our range of values here is between 0 and 90 degrees.

So to follow the notation in the question, the value within the range that will satisfy the equation is π/6

4 0

3 years ago

Write a compound inequality to represent all of the numbers between -4 and 6.

barxatty [35]

Answer:

-4 < x < 6

Step-by-step explanation:

3 0

2 years ago

3x=105???<br> helppp please

natali 33 [55]

Answer:

35 is the answer

7 0

3 years ago

Brand Y Cola sponsors a survey of 15,559 residents of Texas to determine which brand of cola they prefer. Forty percent say they

Triss [41]

Answer:

6224 Brand X residents and 9335 Brand Y residents

Step-by-step explanation:

Total number of residents in the survey=15559

Residents that prefer Brand X=40%

Residents that prefer Brand Y=60%

<u>Population sample?</u>

Residents that prefer Brand X= 40/100 ×15559 =6223.6⇒6224 residents

Residents that prefer Brand Y= 60/100 × 15559 =9335.4⇒⇒9335 residents

3 0

3 years ago

Read 2 more answers