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3 years ago

11

You’re given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. H

ow many triangles can you construct using these measurements?
a. 0
b. 1
c. 2
d. infinitely many

1 answer:

Helen [10]3 years ago

3 0

The full thing would be 90 but when you look the answer would be 2
because you divide it by the even number

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135°<br> Solve for <2.<br> 62 = [?]<br> 45°<br> &2<br> 86°<br> Enter

andrey2020 [161]

Answer:

$\displaystyle \angle2 = {49}^{ \circ}$

Step-by-step explanation:

remember that,

<u>if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior </u><u>angles</u>

thus our equation is

$\displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ}$

cancel out 86° from both sides:

$\displaystyle \angle2 = {49}^{ \circ}$

hence,

the measure of the missing angle is 49°

6 0

3 years ago

Read 2 more answers

Which triangle would be most helpful in finding the distance between the points (-4, 3) and (1,-2) on the coordinate

earnstyle [38]

Answer:

On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).

Step-by-step explanation:

The points (-4,3), (1,2) and (-4, -2) would form a right triangle when graphed and connected by lines.

(-4,3), (1,2) and (1,3) would also work as well

5 0

2 years ago

Find the equation of the line through ( - 10, - 8) that is perpendicular to the line through (10,6), (5,5).

Furkat [3]

Answer:

y=-5x-58

Step-by-step explanation:

The equation of a line in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

Perpendicular lines have opposite reciprocal slopes.

Anyways we need to find the slope of the line going through (10,6) and (5,5).

To find the slope, we are going to line up the points vertically and subtract vertically, then put 2nd difference over 1st difference. Like so:

( 10 , 6)

- ( 5 , 5)

------------------

5 1

So the slope of the line through (10,6) and (5,5) is 1/5.

The slope of a line that is perpendicular will be the opposite reciprocal of 1/5.

The opposite reciprocal of 1/5 is -5.

The line we are looking for is y=-5x+b where we need to find the y-intercept b.

y=-5x+b goes through (-10,-8)

So we can use (x,y)=(-10,-8) to find b in y=-5x+b.

y=-5x+b with (x,y)=(-10,-8)

-8=-5(-10)+b

-8=50+b

Subtract 50 on both sides:

-8-50=b

-58=b

So the equation is y=-5x-58

4 0

4 years ago

Set D is the set of positive two-digit even numbers less than 25 that do not contain the digit 0.

gavmur [86]

The required set of positive two-digit even numbers less than 25 that do not contain the digit 0 is 12,14,16,18,22,24.

<h3>What is integer?</h3>

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

Set D is the set of positive two-digit even numbers less than 25 that do not contain the digit 0.

According to given question we have

2-digit numbers are the numbers that have two digits and they start from the number 10 and end on the number 99.

Starting at 12 going up the two digit numbers even numbers less than 25 that do not contain the digit 0.

12,14,16,18,22,24

Therefore, the required set of positive two-digit even numbers less than 25 that do not contain the digit 0 is 12,14,16,18,22,24.

Learn more details about integer here:

brainly.com/question/15276410

#SPJ1

4 0

1 year ago

The owner of a convenience store keeps track of how many customer buy lunch food during the "noon rush" each day for four days a

alexdok [17]

Answer:

c) 62.

Step-by-step explanation:

Let x represent number of customers came in on the fifth day.

We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.

We know that mean of a data set is equal to sum of all data points divided by number of data points.

Total number of customers on 5 days would be $208+x$ and total number of days is 5.

Since we need a mean of 54, so we can set mean of 5 days equal to 54 as:

$\frac{208+x}{5}=54$

Multiply both sides by 5:

$\frac{208+x}{5}*5=54*5$

$208+x=270$

$208-208+x=270-208$

$x=62$

Therefore, 62 customers must come in on the fifth day to make the five-day mean 54 and option 'c' is the correct choice.

4 0

3 years ago