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3 years ago

∡1 and ∡2 are vertical angles. If m∡1 = 64°, find m∡2

Mathematics

2 answers:

mojhsa [17]3 years ago

8 0

Answer:

64 degrees

Step-by-step explanation:

Vertical angles are equal

icang [17]3 years ago

8 0

Answer:

m∡2 = 64°

Step-by-step explanation:

By definition of vertical angles, the angles opposite of each other are equal each other.

∴ IF ∡1 and ∡2 are vertical angles, AND m∡1 = 64°, THEN m∡2 = 64°. (CPCTC - Definition of Vertical Angles).

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Solve the equation 58 - 10x ≤ 20 + 9x

drek231 [11]

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

$58-10x\leq20+9x$

Then, add $10x$ to both sides:

$58-10x+10x\leq20+9x+10x\\58\leq20+19x$

Next, subtract $20$ from both sides:

$58-20\leq20-20+19x\\38\leq19x$

Finally, divide both sides by $19$ :

$\frac{38}{19}\leq\frac{19x}{19}\\2\leq x$

$x\geq 2$

Therefore: the answer to this inequality/equation is: x≥2

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3 years ago

What is the equation of the graphed linear model?

ozzi

Hello,
The line passes through (-1,3) and (9,11)

slope=(11-3)/(9+1)=8/10=4/5

y-3=4/5(x+1)
==>y=4/5 *x +19/5

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3 years ago

Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 14 economy s

dmitriy555 [2]

At least 14 economy and at least 5 deluxe...total of 45 seats. He makes a bigger profit from selling economy seats....so we need the most economy seats we can get.

45 seats - 5 deluxe = 40 economy

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4 years ago

I desperately need this question answered. See attached image thanks so much

Dahasolnce [82]

For this case we must follow the steps below:

step 1:

We place each of the given points on a coordinate axis

Step 2:

We join the AC points (represented by the orange line)

We join the BD points (represented by the blue line)

It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.

In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: $m1 * m2 = -1$