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marshall27 [118]
3 years ago
11

Please help me 10 points

Mathematics
1 answer:
erastova [34]3 years ago
4 0

Let us prove that angle 1 is complementary to angle 3 step by step.

1. We have been given that angle 1 is complementary to angle 2.

2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary m\angle 1+ m\angle 2=90^{o}.

3. We have been also given that line segment  BD bisects \angle ADC.                

4. By the definition of bisect \angle 2 \cong \angle 3.

5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate  m\angle 2=m\angle 3.        

6. m\angle 1+ m\angle 2=90^{o}

Upon substituting m\angle 2=m\angle 3 in above equation we will get,

m\angle 1+ m\angle 3=90^{o}  

Therefore, by substitution property of equality m\angle 1+ m\angle 3=90^{o} .

Hence, proven that angle 1 is complementary to angle 3.

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Write an equation in slope-intercept form for the line that passes through (2,-2) and is perpendicular to x + 5y =6
Oksana_A [137]
X + 5y = 6
5y = -x + 6
y = -1/5x + 6/5....the slope here is -1/5. A perpendicular line will have a negative reciprocal slope. All that means is flip the original slope and change the sign. So we flip -1/5 and make is -5/1....and we change the sign...making it 5/1 or just 5. So our perpendicular line will have a slope of 5.

y = mx + b
slope(m) = 5
(2,-2)...x = 2 and y = -2
sub and find b, the y int
-2 = 5(2) + b
-2 = 10 + b
-2 - 10 = b
-12 = b

so ur perpendicular equation is : y = 5x - 12 <=
3 0
3 years ago
Please answer ASAP it’s really important please
bazaltina [42]

Answer:

Letter A.

Step-by-step explanation:

0 is not divisible, so the last the last two alternatives are impossible.

The second one doesn't work, so I'd stick to letter A.

6 0
3 years ago
Evaluate -29 - X<br> when x = 6
notka56 [123]

Answer:

wouldn't that just be -35?

Step-by-step explanation:

you just have to do -29-6

6 0
3 years ago
Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five cars that seat one person each. Maren sat in the las
Aleks04 [339]

Answer:

Sharon

Step-by-step explanation:

The given parameters are;

The number of persons that rode on the small train = 5

The number of cars in the train = 5

The position Maren sat = Last car

The position Aaron sat = Directly behind Sharon

The position Darren sat = In one of the cars in front of Aaron

The position of one of the members = Between Karen and Darren

The given seating arrangement is as follows;

Maren → Aaron → Sharon → Darren → Karen

Therefore, the person who sat in the middle car is Sharon.

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3 years ago
Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Explain using a unit conversion as well as
My name is Ann [436]

Answer:

Tom was speeding.

Step-by-step explanation:

The driving speed of Tom = 20.3 meters per second.

Speed allowed in the zone = 45 miles per hour zone.

Since the unit of speed allowed is given in miles per hour but the speed of tom is given in meters per second. So, first, we have to convert the meter per second into mile per hour then we can compare and find that Tom is speeding or not.  

1 mile = 1609.34 meters

1 hour = 3600 second

Now convert 20.3 into mile per hour.

20.3 meters per second. = (20.3 / 1609.34)*3600 = 45.40981 mile per hour.

Since Tom’s speed is more than the allowed speed so he is speeding.

7 0
3 years ago
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