5 A triangle has two congruent angles. The length of one
side of the triangle is 16 cm and the length of another
side is 32 cm. Which of the following is the length of
the third side of the triangle?
A. 64 cm
B. 48 cm
C. 32 cm
D. 16 cm
E. It cannot be determined based on the informati

Answers

Answer 1

Answer:

Answer: C. 32 cm

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.

We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.

If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.

If y=16, z=16, and x=32 (the worst possible combination), then the inequality

0 < x < 32

wouldn't be satisfied, thus the third side cannot have a length of 16 cm and it must have a length of 32 cm

Answer: C. 32 cm

Answer 2

We want to find the length of the missing leg of the given triangle. We will see that the correct options are C and D.

Congruent angles:

Two angles are congruent if these have the same measure.

Then if the triangle has two congruent angles it means that the triangle must be an isosceles triangle.

Finding the missing side.

We know that one side measures 16cm and the other side measures 32 cm, and this is an isosceles triangle, so it must have two equal sides.

Then the possible measures of the missing side are either 16cm or 32 cm.

So the correct options are C and D.

If you want to learn more about triangles you can read:

https://brainly.com/question/14285697


Related Questions

A new coat cost $180. The sales taxes is 8% how much is the sales taxes

Answers

Answer:

14.4

Step-by-step explanation:

Change 8% to a decimal which is 0.08 and then multiply 180 × 0.08 then you should get 14.4 Hope this Helps

What fraction of an hour is 10 minutes?

Give your answer in its simplest form.

Answers

Answer:

1/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation: 60 minutes in a hour and one sixth of it is 10 minutes

given g(x)=-3x-5, find g(-4)

Answers

Answer:

7

Step-by-step explanation:

Answer:

i got 7

Step-by-step explanation:

2. A contractor's crew can frame 3 houses in a week. Which is true of the relationship between x and y?​

Answers

Linear and proportional as at week zero they started with zero houses. That means this starts at point (0,0)

Answer for the points
6 − (9 − 2) + 3 × 6

Answers

Answer:

17

Step-by-step explanation:

USING BIDMAS (Brackets Indices Division Multiplication Addition Subtraction)

6 − (9 − 2) + 3 × 6

9-2=7

3x6=18

6-7+18=17

Change the following decimals to fractions.
Give your answers in their simplest form.
a) 0.9
b) 0.32
c) 0.125

Answers

Answer:

9/10

8/25

1/8

Step-by-step explanation:

90/ 100 = 9/10

32/100 = 8/25

125/1000 = 1/8

Answer: 9/10 8/25 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaand 1/8

Step-by-step explanation:

Need help plzz I need it

Answers

Answer:

7

Step-by-step explanation:

The question asks for f(3).  f(3) is the y value.  "3" is the x value.  In other words the question asks, "What is the value of y when x is 3?"

When x is 3, y=7.  

help pls, this is due very quickly

Answers

Answer:

The slope is 4 and the y intercept is (0, 2)

PLEASE HELP making brainliest if correct

Answers

Answer:

The right answer is ASA....

They are congruent, ASA

FILL IN THE BLANKS: To solve an algebraic equation, we must go in ______ order and use the ______ operations.

Answers

the answer is number and pemdas

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

28x

Step-by-step explanation:

A crayon company recently changed its labels. It currently has a total of 80,553 crayons in stock, 45,695 of which have the new label. How many crayons with the old label does the company have in stock?

Answers

Answer:

34858

Step-by-step explanation:

You would subtract 80553 by 45695 and you would get your answer.

Answer:

vh

Step-by-step explanation:

bkkjggjgjrtyyuuiiiiiuiki


A flower shop ordered a shipment of red, blue, and white flowers.
• The ratio of red: blue: white flowers in the shipment is 3:1:2.
• There are 60 hite flowers in the shipment.
How many flowers are in the shipment?

A. 360 flowers
B. 120 flowers
C. 240 flowers
D. 180 flowers

Answers

Answer: D is the answer

Step-by-step explanation:

white = 60

60/2= blue

blue= 30

red= 30 + 60

red = 90

90 + 60 + 30=

90+ 90

= 180

Answer:

D: 180

Step-by-step explanation:

red : blue : white

3   :    1    :    2

90: 30: 60

Add the ratios to get 180

How many rectangles of any size are in the diagram?

Answers

I counted 24 different rectangles

Answer:

29

Step-by-step explanation:

count the rectangles one by one :)

A glass is full. Then 70cm of orange juice is poured in.
The glass is now i full. What is the total volume of the glass?

Answers

Answer:

392cm³

Step-by-step explanation:

First, we need to find what fraction of the whole volume was just added. We started with 4/7 and ended up with 3/4, so we can take the difference of the two to find the fractional part added:

[tex]\frac{3}{4}-\frac{4}{7} =\\\\\frac{21}{28}-\frac{16}{28} =\frac{5}{28}[/tex]

So, that 70cm³ represents 5/28 of the whole glass. If 70cm³ is 5/28 of the glass's volume, then 70/5 = 14cm³ must be 1/28 of the volume. From here, we can simply multiply 14 by 28 to find the total volume, all 28/28 of it:

14 · 28 = 392cm²

6th grade math !!!!!!!!!!!!!!!

Answers

Answer:

x=3

Step-by-step explanation:

Well if 4x>10, then x needs to be more than 2.5, (because 2.5*4=10) So the only answer left is x=3

Answer:

it's 3

Step-by-step explanation:

as 4x3 =12 and 12 us greater than 10

PLEASE HELP!!! I will give BRAINLIEST!!!

Answers

Answer:

first one yes s no third no fourth yes fifth no

NUMBER 2 AND 3. GIVING BRAINLIEST!!

Answers

Answer:

2. a. 11/4

    b. 8/6

3. a. 2 1/6

   b.  3 2/3

Step-by-step explanation:

So basically for number 2, you need to multiply the whole number and the denominator, then add the numerator.

For number 3, you need to divide the numbers. Like how much does 6 go to 13 or 11 go to 3. The remainder should be the numerator.

Answer:

Step-by-step explanation:

2)a)

[tex]2\frac{3}{4}=\frac{(2*4)+3}{4}=\frac{8+3}{4}=\frac{11}{4}\\\\1\frac{2}{6}=\frac{(1*6)+2}{6}=\frac{6+2}{6}=\frac{8}{6}\\[/tex]

3)

[tex]a) \frac{13}{6}=2\frac{1}{6}\\\\b) \frac{11}{3}=3\frac{2}{3}\\[/tex]

10. Determine if the triangles are congruent.

Answers

Answer:SAS

Step-by-step explanation:

Two similar rectangles have a scale factor of 3:2. The perimeter of the small rectangle is 50 feet. What is the perimeter of the large rectangle measured in feet?

Answers

Answer: The perimeter of the large rectangle measured 75 feet.

Step-by-step explanation:

For two similar rectangles,

[tex]\dfrac{\text{Perimeter of image }}{\text{Perimeter of pre-image }}=\dfrac{3}{2}[/tex]

The perimeter of the small rectangle is 50 feet.

Given ratio between two similar rectangles: 3:2

So,

[tex]\dfrac{\text{perimeter of large rectangle}}{\text{perimeter of small rectangle}}=\dfrac{3}{2}\\\\\Rightarrow\ \dfrac{\text{perimeter of large rectangle}}{50}=\dfrac{3}{2}\\\\\Rightarrow\ \text{Perimeter of large rectangle} =\dfrac{3}{2}\times50\\\\\Rightarrow\ \text{Perimeter of large rectangle} =75[/tex]

Hence, the perimeter of the large rectangle measured 75 feet.

The perimeter of a rectangle is the sum of the dimension of the rectangle

The perimeter of the larger rectangle is 75 feet

The ratio of the side length is given as:

[tex]Ratio = 3 : 2[/tex]

Represent the perimeters of both rectangles with

P1 and P2.

So, we have:

[tex]P1 : P2 = 3 : 2[/tex]

The smaller rectangle has a perimeter of 50 feet.

So, we have:

[tex]P1 : 50 = 3 : 2[/tex]

Express as fraction

[tex]\frac{P1 }{ 50 }= \frac 3 2[/tex]

Multiply both sides by 50

[tex]P1= \frac 3 2 \times 50[/tex]

[tex]P1= 75[/tex]

Hence, the perimeter of the larger rectangle is 75 feet

Read more about perimeters at:

https://brainly.com/question/24571594

A rocking horse has a weight limit of 60 pounds. a)What percentage of the weight limit is 33 pounds?

Answers

Answer:

55%

Step-by-step explanation:

I really need help with this... Please! I’ll mark you brainliest

Answers

The plot points on the graph is gonna be (-1, -2) (0, 1) (1, 0) (2, 1) (3, 10)

Please help im stuck .-_-.

Answers

Answer:

y = 4

Step-by-step explanation:

y/16 = 5/20 = 2/8

y/16 = 1/4 = 1/4

Answer: 4

Step-by-step explanation:

My previous explanation got deleted

12
(
x

2
)
+
3
x
=
1
2
(
x
+
6
)
+
2

Answers

Answer:

X=32.666

Step-by-step explanation:

12(x-2)+3x=12(x+6)+2

12x - 25 + 3x = 12x + 72 +2

15x-24=12x+74

15x=12x+98

3x=98

x=32.666

Hope this helped!

Answer:

x=32.67

Step-by-step explanation:

12(x-2)+3x=12(x+6)+2

12x-24+3x=12x+72+2

simplify

15x-24=12x+74

15x-12x-24=12x-12x+74

3x-24=74

3x-24+24=74+24

3x=98

x=32.67

What are the coordinates of point A of the pre-image?
O (-1, 1)
O (-1,2)
O (-9,6)
O (-9, 18)

Answers

Answer: (-1,2)

Step-by-step explanation:

yuh

Answer:

(-1, 2)

Step-by-step explanation:

If you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
ice cream
vanilla
chocolate
toppings
fudge
cherry
marshmallow

Answers

You can make six different sundaes.
you can make 9 different sundaes

What is the ratio of 35 and 15

Answers

Answer:

42.857142857143%

or just write 42.85 %

Step-by-step explanation:

the sum of a number and 2 is no more than 6 or no less than 10

i need to define the variable , write a compound inequality and solve.

Answers

Answer:

a. x + 2 ≤ 6 or x + 2 ≥ 10 b. x  ≤ 4 or x  ≥ 8

Step-by-step explanation:

a. Write a compound inequality

Let x be the number.

Since x + 2 is no more than 6 then x + 2 ≤ 6 and x + 2 is no less than 10 then x + 2 ≥ 10

So, the compound inequality is x + 2 ≤ 6 or x + 2 ≥ 10

b. Solve the inequality

Solving each inequality, we have,

x + 2 ≤ 6

x  ≤ 6 - 2

x  ≤ 4

x + 2 ≥ 10

x  ≥ 10 - 2

x  ≥ 8

So,  x  ≤ 4 or x  ≥ 8

Find the value of x
11x-1+20x-3=151

Answers

X= 5 do you need to show your work?

Answer:

x = 5

Step-by-step explanation:

11x - 4 + 20x = 151

31x - 4 = 151

31x - 4 + 4 = 151 +4

31x = 155

31x/31 = 155/31

x=5

Three lizards eat 63 grams of food each day. How many grams of food would you expect 5 lizards to eat

Answers

Answer: 105 grams

Step-by-step equation: they each eat 21 grams a day

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