Given:
AD is an angle bisector in triangle ABC. [tex]m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ[/tex].
To find:
The value of [tex]m\angle ADC[/tex].
Solution:
AD is an angle bisector in triangle ABC.
[tex]m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}[/tex]
[tex]m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}[/tex]
[tex]m\angle CAD=m\angle BAD=22^\circ[/tex]
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
Using angle sum property in triangle CAD, we get
[tex]m\angle CAD+m\angle ADC+m\angle ACB=180^\circ[/tex]
[tex]22^\circ+m\angle ADC+72^\circ=180^\circ[/tex]
[tex]m\angle ADC+94^\circ=180^\circ[/tex]
[tex]m\angle ADC=180^\circ-94^\circ[/tex]
[tex]m\angle ADC=86^\circ[/tex]
Therefore, the angle of angle ADC is [tex]86^\circ[/tex].
1 NEED HELP ASAP WILL GIVE BRAINLY
Answer:
c
Step-by-step explanation:
I believe its c I've done this last semester
Help please I do not get this problem at all
Answer:
It should be 4. The ratio that AC is equal to DE at should be equal to the ratio of BE to BC. If you want an explanation I'd be happy to add one!
Help me on this please
Answer:
14. y=10
Step-by-step explanation:
3y-7=23
+7 +7
3y=30
---- -----
3 3
y=10
Answer:
y=10j=8Step-by-step explanation:
[tex]3y-7=23[/tex]
Collect like terms and simplify
[tex]3y =23+7\\3y=30[/tex]
Divide both sides of the equation by 3
[tex]\frac{3y}{3} = \frac{30}{3}[/tex]
Simplify
[tex]y=10[/tex]
2.
[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]
PLEASE HELP PRE ALGEBRA EASY 10 POINTS
At a hospital, 56 percent of the babies born are not girls. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? Round to the nearest percent.
5%
7%
21%
27%
Answer:
It's the first option 5%
Step-by-step explanation:
The probability of a premature baby girl being born at this hospital is,
⇒ 5%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, If the likelihood of boys being born is 56%,
Then, the complement of that is the likelihood of girls being born which is,
⇒ 100% - 56% = 44%.
Since, we are given that of the baby girls born, 12% are premature, the probability of a premature baby girl being born is:
⇒ (0.44)(0.12)
= 0.0528
⇒ 5.28%
Thus, The probability of a premature baby girl being born at this hospital is,
⇒ 5%
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ7
Harold is moving a 5- foot tall refrigerator. He tilts it onto its rear edge forming an angle between the back of the refrigerator and the floor; the top edge of the tilted refrigerator is exactly 4 feet above the floor as shown in the following diagram.
What is the cosine of the angle the refrigerator makes with the floor?
A, 4/5
B, 5/4
C, 4/3
D, 3/4
E, 3/5
Please help I’ll give branliest
The cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
Harold tilted the 5 foot fridge, so the slanting height = 5 feet
The tilted refrigerator makes the height 4 feet from the floor.
From the diagram,
The three sides of the triangle according to Pythagoras theorem are
Hypotenuse side, h = 5 feet
Opposite side, o = 4 feet
Let a be the adjacent side.
By Pythagoras theorem,
[tex]Hypotenuse^{2} = Opposite^{2}+Adjacent^{2}[/tex]
⇒ [tex]5^{2} =4^{2} +a^{2}[/tex]
⇒ [tex]a^{2} = 25-16[/tex]
⇒ [tex]a=\sqrt{9}[/tex]
⇒ [tex]a=3[/tex]
Thus the trigonometric ratio cosine of the angle is
[tex]cos \theta =\frac{Adjacent}{Hypotenuse}[/tex]
⇒ [tex]cos \theta =\frac{3}{5}[/tex]
Hence we can conclude that the cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
Learn more about trigonometry here
https://brainly.com/question/16965914
#SPJ2
Over the past few years Donald made 40 trips to the amusement park. He drove 400 km in all. The distance travelled by him on each trip to the park is:
Answer:
10
Step-by-step explanation:
Answer:
10 km
Step-by-step explanation:
total no of km covered=400
total no of trips=40
distance in each trip= 400/40
=10km
Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to put in $60 per month. Yoko opened her account with a starting amount of $530, and she is going to put in $50 per month.
Let x be the number of months after today.
(a) For each account, write an expression for the amount of money in the account after x months.
Amount of money in Chau's account (In dollars) =
Amount of money in Yoko's account (in dollars) =
(b) Write an equation to show when the two accounts would have the same amount of money.
Answer:
A1-60x+460
A2-50x+530
B-60x7+460
50x7+530
Step-by-step explanation:
A1 and A2-since x is equivalent to number of months we multiply the number of months then add it to the original cost to get how much total you get in the account.
B-you add 50 to 530 and 60 to 460 until they equal the same amount in this case its 7 times.
In ΔWXY, x = 1.2 inches, y = 3.1 inches and ∠W=131°. Find ∠X, to the nearest 10th of an degree.
Answer:
13.1
Step-by-step explanation:.
Solve for x. Enter the solutions from least to greatest. (−5x+4)(x−3)=0
lesser x=
greater x=
What is the slope of the line in the
graph?
the slope is a positive one.
the equation would be y = x + 1
Answer:
y = x + 1
Step-by-step explanation:
x because the change is x is 1. And the change in y is also 1. 1/1 can be written as x.
The line crosses the y axis on 1, making it the y-intercept.
Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary.
5. P(1, 1), Q(–1, –1)
6. E(1/2,4 1/4),F(5,-1/2)
Given:
The pair of points.
5. P(1, 1), Q(–1, –1)
6. [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex]
To find:
The distance between the pair of points.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
5.
The distance between the pair of points P(1, 1) and Q(–1, –1) is:
[tex]PQ=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]
[tex]PQ=\sqrt{(-2)^2+(-2)^2}[/tex]
[tex]PQ=\sqrt{4+4}[/tex]
[tex]PQ=\sqrt{8}[/tex]
[tex]PQ=2\sqrt{2}[/tex]
Therefore, the distance between P and Q is [tex]2\sqrt{2}[/tex].
6.
The distance between the pair of point [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex] is:
[tex]EF=\sqrt{\left(5-\dfrac{1}{2}\right)^2+\left(-\dfrac{1}{2}-4\dfrac{1}{4}\right)^2}[/tex]
[tex]EF=\sqrt{\left(\dfrac{10-1}{2}\right)^2+\left(-\dfrac{1}{2}-\dfrac{17}{4}\right)^2}[/tex]
[tex]EF=\sqrt{\left(\dfrac{9}{2}\right)^2+\left(\dfrac{-2-17}{4}\right)^2}[/tex]
[tex]EF=\sqrt{\dfrac{81}{4}+\left(\dfrac{-19}{4}\right)^2}[/tex]
On further simplification, we get
[tex]EF=\sqrt{\dfrac{81}{4}+\dfrac{361}{16}}[/tex]
[tex]EF=\sqrt{\dfrac{324+361}{16}}[/tex]
[tex]EF=\sqrt{\dfrac{685}{16}}[/tex]
[tex]EF=\sqrt{42.8125 }[/tex]
[tex]EF\approx 6.5[/tex]
Therefore, the distance between E and F is 6.5 units.
What provides the energy to set the water cycle in motion?
Question 2 options:
Rain
Sun
Oceans
Wind
I don't know ... yet!
Help Plz
WIll mark brainliest
Answer:
y=+|x-3|
Step-by-step explanation:
We know it is positive because it is expanding upward. So +. We know it is x-3 because if it is inside the absolute value signs, the constant(-3 in this case) is opposite. So it is 3. And 3 matches with the vertex of the graph. And the ending is 0, so I omitted it bc its still on the x intercept, meaning it has a y value of 0.
Answer:
fam good luck
Step-by-step explanation:
help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
I beleive is is -2% because 5 is 2 more than 3
so then 5-2=3
Answer:
Error Is 100(2/3) 66.7%
2x+45-56=9x+54+23
Solve for x please
Answer:
x = -12.57
Step-by-step explanation:
2x + 45 - 56 = 9x + 54 + 23
2x - 11 = 9x + 77
-11 = 7x + 77
-88 = 7x
x = -12.57
What two numbers multiply to get 7 and add to get -8
Answer:
-7 and -1
Step-by-step explanation:
-7x-1=7
-7-1=-6
-7 and -1
- have a great day
how many powers with an exponent of 2 are there between 1 and 100?
There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.
What is Number system?A number system is defined as a system of writing to express numbers.
Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.
We need to count the number of perfect squares between 1 and 100. These include:
1² = 1
2² = 4
3²= 9
4² = 16
5² = 25
6² = 36
7²= 49
8² = 64
9² = 81
10² = 100
So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ3
Simplify the expreesion (6x²) (4x²)
Answer:
the answer is 24x⁴
first you multiply 6 by 4,
next you multiply X² by x², which really means you add the numbers on top of the variable
[tex]5^{2}= 55[/tex]
Answer:
bugahhh
Step-by-step explanation:
bugahhh
Answer:
2 is actually 11
Step-by-step explanation:
5 x 11 = 55
divide 5 from both sides to get,
2 = 11
I think you meant two as a variable maybe?
What is an equation of the line that passes through the points (-6,-2) and (-3,-3)
Answer:
y = -1/3x - 4
Step-by-step explanation:
m = -1/3
y = -4
Hope this helps! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
y=-9x+5
Step-by-step explanation:
A recipe for beef fajitas uses 5 pounds of beef to make 20 meals. How many pounds of beef are needed to make 80 meals?
Answer: 0.25 pound of beef are needed to make 80 meals.
Step-by-step explanation:
Given : A recipe for beef fajitas uses 5 pounds of beef to make 20 meals.
Then the of beef required for 1 mesal = ( 5 pounds) ÷ 20
= [tex]\dfrac{5}{20}[/tex] pound
[tex]=\dfrac{1}{4} [\text{Divide numerator and denominator}][/tex]
=0.25 pound
Hence, 0.25 pound of beef are needed to make 80 meals.
What angle has a degrees over 180?
Right
Rex
Straight
Acute
please help with question 2 50 points for answer and brainliest
Answer:
b) Reflection over y = -2
Step-by-step explanation:
Reflection over y = -2
A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?
Answer:
28/36 shd give u the answer
answer in 1:ur answer
how many 0 are in 123456789123456789000012010100101010101010101010010
Answer:
19
Step-by-step explanation:
:)
when you Subtract: 70-(-11) what is your answer
Answer:
81
Step-by-step explanation:
Please answer!!! I’ll make brainliest
Answer: 30
Step-by-step explanation:
1. Use the Pythagorean theorem ([tex]A^{2} +B^{2} = C^{2}[/tex])
[tex]18^{2} +24^{2} =C^{2} \\324 + 576 = C^{2} \\900 = C^{2} \\\sqrt{900} = \sqrt{C^{2} } \\30 = C\\[/tex]
Step-by-step explanation:
so in this case, you use the pythagoras theorem:
hypotenuse= opposite squared + adjacent squaredsince we don't have a hypotenuse, let's name is H
soo it will be
H= 18 squared + 24 squared
H = 324+ 576
H= 900
so you find the square root of 900 which is 30
so, therefore the answer is 30
Find the value of 15/4 ÷ 5/8.
Step-by-step explanation:
15/4 ÷ 5/8
15/4×8/5
3×2
=6
Answer:
6
Step-by-step explanation:
when the short hand of a clock moves through 12 o clock to 3 o'clock what angle is formed
Answer:
90* angle or also called a right angle.
Step-by-step explanation: