All categories

2 years ago

Which set of measurements can represent the lengths of a triangle's sides?

1 answer:

6 0

Triangle, not a triangle, not a triangle, triangle

Determining if three side lengths can make a triangle is easier than it looks. All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.[

You might be interested in

There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is con

grandymaker [24]

Answer:

SAS theorem

Step-by-step explanation:

Given

$\square ABCD$

$\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD$

$\angle BAC = \angle DCA$

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

$\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC$

and

$\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED$

So, the congruent sides and angles of △ABE and △CDE are:

$\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD$ ---- S

$\angle BAC = \angle DCA$ ---- A

$\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED$ or $\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC$ --- S

<em>Hence, the theorem that compares both triangles is the SAS theorem</em>

4 0

2 years ago

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

vampirchik [111]

Answer:

-4

Step-by-step explanation:

PEMDAS

exponents -> 2^2 = 4

divide -> -36/4 = -9

add -> -9 + 5 = -4

3 0

3 years ago

A Simple random sample of 100 8th graders at a large suburban middle school indicated that 84% of them are involved with some ty

Setler [38]

Answer: a) (0.755, 0.925)

Step-by-step explanation:

Let p be the population proportion of 8th graders are involved with some type of after school activity.

As per given , we have

n= 100

sample proportion: $\hat{p}=0.84$

Significance level : $\alpha= 1-0.98=0.02$

Critical z-value : $z_{\alpha/2}=2.33$ (using z-value table)

Then, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity will be :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.84\pm (2.33)\sqrt{\dfrac{0.84(1-0.84)}{100}}$

i.e. $\approx0.84\pm 0.085$

i.e. $(0.84- 0.085,\ 0.84+ 0.085)=(0.755,\ 0.925)$

Hence, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity : a) (0.755, 0.925)

3 0

3 years ago

What is the slope of the line that passes through (-1, -7/3,) (8/3, 5)

Lera25 [3.4K]

Answer:

slope is m=2

Step-by-step explanation:

5-(-7/3)=22/3

divided by

8/3-(-1)=11/3

=22/3*3/11=2/1*1/1=2

8 0

3 years ago

Corresponding solution for 3x-3(x+1)=3 plzzz answer quickly

Gekata [30.6K]

$3x - 3(x + 1) = 3 \\ = > - 3(x + 1) = 3 - 3x \\ = > - 3(x + 1) = - 3(1 + x) \\$

Hence,

$x$ is cutting each other in this equation.

So, $x$ can be of any value.i.e.,infinite.

Hope this will help you.

If you like my answer. Please mark it as brainliest And Be my follower if possible.

6 0

3 years ago