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2 years ago

Find the intersection of the following sets: Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}

Mathematics

2 answers:

Bumek [7]2 years ago

4 0

Answer:

Step-by-step explanation:

Intersection means that the sets have terms in common

(5, 14, 22) are the common terms.

Likurg_2 [28]2 years ago

3 0

Answer:

A ∩ B = { 5,14,22}

Step-by-step explanation:

Intersection is where the two sets meet, or what they both have in common

Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}

Set A intersect B has 5 , 14 and 22 in common

A ∩ B = { 5,14,22}

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I need some help with this

masya89 [10]

Answer:

A, C, D

Step-by-step explanation:

Consider triangles NKL and NML. These triangles are right triangles, because

$m\angle K=m\angle M=90^{\circ}$

In these right triangles:

$\overline{NL}\cong \overline {NL}$ - reflexive property;
$\angle KLN\cong \angle MLN$ - given

Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so

$\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]$

Since

$\overline{KN}\cong \overline{NM},$

then

$7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]$

Option B is false, because KN=52 units.

Option E is false, because LN is congruent KN, not LM

4 0

2 years ago

Calculate the length b to two decimal places.

Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

$c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta$

Upon substituting our given values in the formula we will get,

$(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)$

$(AC)^{2}=225+144-360\text{ cos}(106)$

$(AC)^{2}=369-360(-0.275637355817)$

$(AC)^{2}=369+99.22944809412$

$(AC)^{2}=468.22944809412$

Upon taking square root of both sides of our equation we will be get,

$AC=\sqrt{468.22944809412}$

$AC=21.6386101238993629\approx 21.64$

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0

2 years ago

Keisha has a straightedge and a compass, but noprotractor. What kind of angle can Keisha draw exactly with only these tools?

sukhopar [10]

<span>Straight (it's a straight line!), full rotation (a circle), but nothing else since you can't measure the exact angle of it</span>

5 0

3 years ago

Which of the four representations are incorrect?

kolezko [41]

Answer:

The equation is wrong

Step-by-step explanation:

if you read the description closley, it matches eith rhe table and the graph but if you know how to do the equation, its no -5/2x+40

3 0

2 years ago

Read 2 more answers

38,477 rounded to the nearest thousand

Ganezh [65]

Answer: i'm pretty sure it's 38,500

Step-by-step explanation:

4 0

2 years ago