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3 years ago

5

Write a statement that indicates that the triangles in each pair are congruent.

1 answer:

Solnce55 [7]3 years ago

4 0

Triangles are congruent because all the corresponding sides and interior angles are congruent.
Step-by-step explanation:
In ΔWXY and ΔBCD
Given Sides are congruent:

Also,
Angles are congruent i,e:

By congruence statement: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then those triangles are congruent.

Therefore, we can say the two triangles WXY and BCD are congruent because every corresponding side are of equal length and every corresponding angle has the same measure.

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A cone has volume 3. If the cone’s radius is 1, what is its height?

liraira [26]

Is it in inches or centimeters?

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3 years ago

Simplify: (2x - 4) - (6x + 6)

tatiyna

<h3>(2x - 4) - (6x + 6) = -2( 2x + 5 )</h3>

<h3>Further explanation</h3>

Order of Operations in Mathematics follow this following rule :

Parentheses
Exponents
Multiplication and Division
Addition and Subtraction

This rule is known as the PEMDAS method.

Let us tackle the problem!

$(2x - 4) - (6x +6) = 2x - 4 - 6x - 6$ ⇒ open parenthesis

$(2x - 4) - (6x +6) = 2x - 6x - 4 - 6$ ⇒ rearrange term

$(2x - 4) - (6x +6) = (2 - 6)x - 10$ ⇒ factorize

$(2x - 4) - (6x +6) = -4x - 10$

$\large {\boxed {(2x - 4) - (6x +6) = -2( 2x + 5 ) } }$

<h2>Another Example :</h2>

$(2x - 4) + (6x +6) = 2x - 4 + 6x + 6$ ⇒ open parenthesis

$(2x - 4) + (6x +6) = 2x + 6x - 4 + 6$ ⇒ rearrange term

$(2x - 4) + (6x +6) = (2 + 6)x + 2$ ⇒ factorize

$(2x - 4) + (6x +6) = 8x + 2$

$\large {\boxed {(2x - 4) + (6x +6) = 2( 4x + 1 ) } }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

8 0

3 years ago

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In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval

Vikki [24]

Answer: 0.49 ± 0.0237

Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:

$p_{hat}$ ± z. $\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }$

$p_{hat}$ is the proportion:

$p_{hat}$ = $\frac{1455}{2957}$

$p_{hat}$ = 0.49

For a 99% confidence interval, z = 2.576:

0.49 ± 2.576. $\sqrt{\frac{0.49(1-0.49)}{2957} }$

0.49 ± 2.576. $\sqrt{\frac{0.49*0.51}{2957} }$

0.49 ± 2.576.(0.0092)

0.49 ± 0.0237

For a <u>99% confidence interval</u>, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237

7 0

3 years ago

F(x)=5x^2+10x express f in standard form

Mkey [24]

Answer: F(x) = 5x^2 + 10x

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2 years ago

Solve for x.<br> Your answer must be simplified.<br><br> x+5≤−4

iren2701 [21]

Answer:

x ≤ -9

Step-by-step explanation:

to solve this equation you must subtract 5 from both sides

you get

x ≤ -9

that is your answer

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2 years ago

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