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3 years ago

Between what two integers does 160 lie

1 answer:

8 0

An integer is a whole number, not a fraction or decimal. Integers can be positive or negative. 180, 4, 17, -56 are all integers. 4.5, 38 1/2, 88.7 are not integers because they are not whole numbers.

ANSWER: 160 lies between 159 and 161.

Hope this helps! :)

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Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

4 years ago

Find the value of x: please help fast

DedPeter [7]

Answer:

BC×AD=K

CKD= 180-32-79= 2x +180- 5x

-> x = (-32-79) : (-3) =37

4 0

4 years ago

In a conjunction, / is true when both / and / are _____; otherwise, / is _____.

Crank

So from the onset, the answer to this question would be OPTION B.In a conjunction, / is true when both / and / are TRUE; otherwise, / is FALSE.

A conjunction refers to a compound statement, developed by combining two statement often through the use of the word 'AND'. For example, the two statements, 'Roses are Red' (statement p) .... 'Violets are Blue' (statement q), can be combined to form a conjunction that reads 'Roses are Red and Violets are Blue.' When it comes to conjunctions, it is or equivalent to the intersection of the two sets of statements (p and q → p ∩ q) which therefore means that in order for the conjunction to be true, both statements must be true, otherwise, the conjunction is false.

Attached below is a truth table that seeks to further explain the point (note: ^ represent the conjunction).