5.
Statements
Reasons
Given
AC bisects ZBCD
8
DC I AD
Given
Given:
ВСІ АВ
Given
AC bisects ZBCD
DC 1 AD
BC 1 AB
Right angles are:
Prove:
AC = AC
BC=DC
I
Answers
Answer:
Step-by-step explanation:
Given: AC is a bisector of ∠BCD
DC ⊥ AD
BC ⊥ AB
To prove : BC ≅ Dc
Statements Reasons
1). AC bisects ∠BCD 1). Given
2)∠ACB ≅ ∠ACD 2). AC is a bisector of ∠BCD
3). DC ⊥ AD 3). Given
4). m∠ADC = 90° 4). DC is perpendicular to AD
5). BC ⊥ AB 5). Given
6). m∠ABC = 90° 6). BC is perpendicular to AB
7). ∠ABC ≅ ∠ADC 7). Right angles are congruent
8). AC ≅ AC 8). Reflexive property
9). ΔABC ≅ ΔADC 9). AL property of congruence
10). BC ≅ DC 10). CPCTC
Related Questions
I will give you brainliest!!! Which equation describes the same line as y+5=3(x-6)?
Answers
Answer:
Step-by-step explanation:
y + 5 = 3x - 18
y = 3x - 23
The solution is A
Answer:
A. y=3x-23
Step-by-step explanation:
We want to get the equation in slope intercept form, or y=mx +b, where m is the slope and b is the y intercept. Basically, we need to get y isolated.
y+5=3(x-6)
First, let’s distribute the 3 on the right side. Multiply each term inside the parentheses by the number outside the parentheses (3).
y+5=3*x + 3*-6
y+5=3x-18
5 is being added onto y. We need to perform the inverse operation to get y by itself. The opposite of addition is subtraction. Subtract 5 from both sides
y+5-5=3x-18-5
y= 3x-18-5
y=3x-23
Therefore, the correct answer is A. y=3x-23
Polygon A B C D E has 5 sides. Which is a correct description of the polygon?
Answers
Answer:
b
Step-by-step explanation:
Answer:
Pentagon
Step-by-step explanation:
The wheels of a car are of radius 40cm each, if the car is travelling at a speed of 66km/h, find the number of revolutions made by each wheel in 20 minutes
Answers
Answer: Each wheel makes 437.5 revolutions in 20 mins
Step-by-step explanation:
Circumference = 2πr
Given that the radius is 40 cm
Circumference = 2π(40) = 80π cm
Find the distance traveled in 20 mins
Speed = 66 km/h
1 hour = 66 km
Rewrite hour into min
60 min = 66 km
1 min = 66 ÷ 60 = 1.1 km
Rewrite km in cm
1.1 km = 1.1 x 10,000 cm = 110,000 cm
Find the number of revolutions in 20 mins:
1 revolution = 80π cm
Number of revolution = 110,000 ÷ 80π = 437.5
mZ3 = 64
m_4 = 106°
and
4
2
3
1
What is
mZ1,
Answers
Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2. Which exponential function is represented by the table?
Answers
Answer:
D.
Step-by-step explanation:
The exponential function is represented by the table is,
f(x)=0.8(2^x).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
The first column is labeled x with entries negative 2, negative 1, 0, 1, 2.
The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2.
The exponential function is represented by the table is,
f(x)=0.8(2^x).
To learn more on function click:
brainly.com/question/21145944
#SPJ5
The equation y= ax? describes a parabola. If the value of a is positive, which
way does the parabola open?
Answers
Answer:
upwards or to the right
Step-by-step explanation:
If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!
Which value of n makes the equation true? -1/2n = -8
A.) -16
B.) -4
C.) 4
D.) 16
Answers
Answer:
D
Step-by-step explanation:
When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.
Answer:
D.) 16
Step-by-step explanation:
Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
The graphs show the distances traveled by two cars moving at constant rates which unit rate matches these 2 graphs pls helpppp
Answers
Answer:
i think is (0.5,25)
Step-by-step explanation:
becuse at the time they have the same speed
Answer:
z
Step-by-step explanation:
z
How would you write 4n + 3 as a verbal expression
Answers
When we have a number that appears
right before a variable, it means multiplication.
So 4n means the same thing as 4 times a number.
Remember, n is a variable which is just a
letter that represents any number.
Since we are adding 3 to 4n, we can say
4 times a number increased by 3.
So 4n + 3 can be written as 4 times a number increased by 3.
The product is 4n, then the added +3.
4n + 3
4 × n + 3
So the verbal expression can be said as:
''The product of four times a number 'n' added with 3.''
Calculate the length of CD if the area of △BCD is 150 cm ²
Answers
Answer:
CD = 20 cm
Step-by-step explanation:
Area of Δ = 1/2(Base)(Height)
Where Height = 15, Area = 150
So,
150 = 1/2(CD)(15)
CD = [tex]\frac{150*2}{15}[/tex]
CD = 10*2
CD = 20 cm
Angela is following this recipe to make biscuits.
Angela uses 1.8 l of syrup.
How much margarine is needed in kg?
Recipe: Makes 10 biscuits
150 g margarine
180 g sugar
225 ml syrup
225 g oats
40 g sultanas
Asapppp
Answers
Answer : The amount of margarine needed is 1 kg.
Step-by-step explanation :
First we have to convert volume of syrup from mL to L.
Conversion used:
1 L = 1000 mL
or, 1 mL = 0.001 L
So, 225 mL = 0.225 L
Now we have to calculate the amount of margarine needed.
As, 0.225 L of syrup needed 150 g of margarine
So, 1.8 L of syrup needed [tex]\frac{1.5L}{0.225L}\times 150 g=1000g[/tex] of margarine
Amount of margarine needed = 1000 g = 1 kg (1 kg = 1000 g)
Therefore, the amount of margarine needed is 1 kg.
If the perimeter of isosceles trapezoid ABCD is p, and , what is the value of y in terms of p ?
A. 5p/6
B. 7p/6
C. 3p/14
D. 3p/7
E. 10p/7
Answers
Answer:
Where is the picture?
Step-by-step explanation:
Pleaseeee help❤️I would appreciate itttt
Answers
Answer:
The correct option are;
i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.
ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C
Step-by-step explanation:
The parameters given are;
Domain: [tex]\{x|-4<x\leq 4, x \in R \}[/tex]
Range: [tex]\{y|-4\leq y< 4, y \in R \}[/tex]
Given that to indicate less than (<) on a graph of an inequality, we draw an circle over the point in reference while to indicate less than or equal to (≤) we draw an circle over the point in reference and shade the point, therefore we have;
Given that x > -4, and ≤ 4, the points B and C satisfies the conditions
Given that the y-coordinates are y ≥ -4, and y < 4, the points D and C satisfies the conditions
Where:
Point B = (4, 4) satisfies x only
Point C = (4, -4) satisfies x and y
Point D = (-4, -4) satisfies y only
Therefore, in order to draw a line segment between two points;
i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.
ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C.
HELP ITS ABOUT TRIANGLESSSS. Image is attached Explanation neede plzzz
Answers
Answer:
D.
Step-by-step explanation:
So angle 2 = 180 - angle 1
Angle 1 = angle 3 + angle 4.
Angle 2 = 180 - angle 3 - angle 4
So, you can come to the conclusion that (angle 1 + angle 2) = 180°
and (angle 3 + angle 4 + angle 2) = 180°
2)If triangle RPQ is a right angled triangle at Q. If PQ = 5cm and RQ = 10 cm,find (i) sin ^2 P (ii) cos ^2 R and tan R (iii) sin P X cos P (iV) sin ^2 P –cos ^2p
Answers
Answer: (i) 1 (ii) 3/4 , √3/3 (iii) 0 (iv) 1
Step-by-step explanation:
ΔRPQ is 1 30°-60°-90° triangle because RQ = 2PQ , where
∠R = 30°∠P = 90°∠Q = 60°(i) sin² (90°) = 1² = 1
[tex]\text{(ii)}\ \cos ^2(30^o)= \bigg(\dfrac{\sqrt3}{2}\bigg)^2=\dfrac{3}{4}[/tex]
[tex].\quad \tan (30^o)=\dfrac{1}{\sqrt3}\bigg=\dfrac{\sqrt3}{3}[/tex]
(iii) sin (90°) × cos (90°) = 1 × 0 = 0
(iv) sin² (90°) - cos² (90°) = 1² - 0² = 1
what is a graph that has a limited number of data point
Answers
Answer:
Line Graph
Step-by-step explanation:
A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.
A bag contains green yellow and orange marbles the ratio of green marble to yellow marble is 2 : 5 the ratio of yellow arbles to orange marbles is 3 : 4 what is the ratio of green marbles two orange marbles
Answers
Answer:
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
Step-by-step explanation:
Let G, Y and O represent green, yellow and orange marbles respectively.
Given;
the ratio of green marble to yellow marble is 2 : 5
G:Y = 2:5
G/Y = 2/5
the ratio of yellow arbles to orange marbles is 3 : 4
Y:O = 3:4
Y/O = 3/4
the ratio of green marbles to orange marbles G:O;
G/O = G/Y × Y/O
Substituting the values;
G/O = 2/5 × 3/4
G/O = 3/10
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
Please answer within 5 minutes for brainliest!!!!
Answers
Answer:
y=4x-9
Step-by-step explanation:
What is the distance on a Cartesian coordinate plane from (1, -1) to (7, 7)?
Answers
Answer:
10
Step-by-step explanation:
Use the distacne forumla to find the differnece between the two points.
what is the ph of a 6.2 x 10-6 M KOH
Answers
Answer:
10
Step-by-step explanation:
i have no flipping i think im wrong
yooo please help asap!!! marking brainiest!!!
Answers
Answer:
[tex] - x {}^{2} - 10 = 34[/tex]
If you can, please help answer this algebra question.
Answers
Answer:
R: {-7,-2,3,8}
Step-by-step explanation:
The range is the output values of the function
The values or 8,3,-2,-7
We put them in order from smallest to largest
R: {-7,-2,3,8}
Answer:
2nd option would be the answer
B
{y:y=-7,-2,3,8}
Step-by-step explanation:
Points C, D, and G lie on plane X. Points E and Flie on
plane Y
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
X
B
There is exactly one plane that contains points E, F,
and B.
A
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and
E
Answers
Answer:2nd, 3rd and 4th
Step-by-step explanation:
The ratio of doctors to nurses in a hospital is 4 to 10. How many doctors are there if the numbers of nurses at the hospital are 150?
Answers
Answer:
60
Step-by-step explanation:
i used a proportion. 4 to 10 is equal to 60 to 150
Grace wants to attend University of Oklahoma. One year at University of Oklahoma costs approximately $20,000. She currently has $4,000 in savings. Grace has received a one-time grant of $1,000 and an annual academic scholarship for $4,000. She plans to enroll in the work study program that will pay $9,000 annually for part-time work. How much will Grace need to borrow in student loans in order to attend University of Oklahoma for 4 years?
Answers
Answer:
Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.
Step-by-step explanation:
Cost for one year at University of Oklahoma = $20,000
Cost for 4 years = 4 × $20,000 = $80,000
Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000
Amount she needs to borrow = $80,000 - $57,000 = $23,000
help please
2 decks of cards 1st deck has red(R) and black (B)
2nd deck has hearts(H) clubs(C) diamonds(D) and spades(S) how many different combinations are there
Answers
Answer:A) (1 x 4) + (1 x 4) = 8
There are 8 possible combinations
B) BC:RD:RS:BH:BS:RH:BD:RC
Step-by-step explanation:
Hope it helps. Step by step in on the top. :)
Can somebody help me with this ?? :)
Answers
Answer:
B.
Step-by-step explanation:
ABC ≅ XYZ
∠A≅∠X
∠B≅∠Y
∠C≅∠Z
Also, should be
AB =XY
BC=YZ
CA=ZX
By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.
Answer B.
Which transformation(s) can map TriangleMNQ onto TrianglePQN?
translation only
reflection only
rotation, then reflection
rotation, then translation
Answers
Answer:
Translation
Step-by-step explanation:
Answer:
D. Rotation then translation
Step-by-step explanation:
If 8 km = 5 miles, convert 720 km into miles.
Answers
Answer:
450 miles
Step-by-step explanation:
5 miles = 450 miles
8 km = 720 km
Answer:
450 mi
Step-by-step explanation:
8km=5mi
720km/8km=90
8km (90)=5mi(90)
5mi(90)
pls Answer my question.
answer it I will make brain list
please answer quickly.
Answers
Answer:
sinP = 7/25
cosQ = 7/25
tanP = 7/24
cotQ = 7/24
secP = 25/7
cscQ = 25/24
Step-by-step explanation:
sin∅ is opposite over hypotenuse
cos∅ is adjacent over hypotenuse
tan∅ is opposite over adjacent or sin∅/cos∅
csc∅ is hypotenuse over opposite or 1/sin∅
sec∅ is hypotenuse over adjacent or 1/cos∅
cot∅ is adjacent over opposite or cos∅/sin∅
Since triangle RQP is a right triangle, we can use trig and Pythagorean Theorem: a² + b² = c²
The missing side length RQ after we use Pythagorean Theorem would be 7.
From there, we can find the trigonometric values.
Answer:
Step-by-step explanation: