The shape PQRS is a parallelogram
The measure of angle QRS is 70 degreesThe measure of angle PQS is 53 degreesThe measure of angle RPS is 35 degreesThe measure of angle PSQ is 53 degreesThe given parameters are:
[tex]\mathbf{\angle PQR = 106}[/tex]
[tex]\mathbf{\angle QSR = 49}[/tex]
[tex]\mathbf{\angle PRS = 35}[/tex]
(a) Find QRS
This is calculated as:
[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]
So, we have:
[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]
[tex]\mathbf{\angle QRS = 70}[/tex]
Hence, the measure of angle QRS is 70 degrees
(b) Find PQS
This is calculated as:
[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]
So, we have:
[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]
[tex]\mathbf{\angle PQS = 53}[/tex]
Hence, the measure of angle PQS is 53 degrees
(c) Find RPS
This is calculated as:
[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]
Where:
[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]
So, we have:
[tex]\mathbf{\angle RPS = 35}[/tex]
Hence, the measure of angle RPS is 35 degrees
(d) Find PSQ
This is calculated as:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]
Where:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]
So, we have:
[tex]\mathbf{\angle PSQ =53}[/tex]
Hence, the measure of angle PSQ is 53 degrees
Read more about angles in a parallelogram at:
https://brainly.com/question/12186483
How to solve this question ????
Help me please
write an inequality whose solutions are represented by the shaded part of the graph
Answer:
x > 3
Step-by-step explanation:
Cup o’ Coffee buys its coffee for $1.25 a cup. The coffee shop then sells each cup for $3.75. What is the percent markup for a cup of coffee?
Answer:
47%
Step-by-step explanation:
.375 × .125 = .046875
rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.
move the decimal three digits to the left and you get, 47%.
Hope this helps brainlest? please
10, 8) and (-5, 8) What is the formula and slope for the points above?
Answer:
formula: (y_2-y_1)/(x_2-x_1)
slope: 0
Step-by-step explanation:
1. The formula to find the slope given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
2. (Solving)
[tex]\frac{8-8}{-5-10}[/tex] [tex]\frac{0}{-15}[/tex] [tex]0[/tex]Therefore, the slope is 0.
complete the following statements of congruence zyx
Answer:
cba
Step-by-step explanation:
yes correct answer x yimes h yomes z
Help me Plz :))
What are the dimensions of AB?
Answer:
c 2*3
Step-by-step explanation:
I think its correct
(√5+1)²
guys pls help me
[tex]( \sqrt{5} + 1 {)}^{2} \\ calculate \\ \\ 5 + 2 \sqrt{5} + 1 \ \\ \\ = 6 + 2 \sqrt{5} \\ \\ in \: \: alternate \: \: form \: \\ \\ 10.47214 \\ \\ hope \: it \: \: helps \\ \\ [/tex]
Step-by-step explanation:
Here is your answer . The logic I have shared above to solve this equation
3(x+1)=2(x-3) whats the answer
The answer is -9
I dont know the step-by-step used a calculator
Tony can cycle a distance of 9 5/6 in 3/5 hours. What is his unit rate?
Answer:
19.66
Step-by-step explanation:
9.83 / 0.5
19.66
Sorry if it is not correct but I think that this is the corrcet answer.
the graph of y=−3x+2
The attached image is the graph.
Answer:
The Graph Below
Step-by-step explanation:
You would start at 2 on the y-axis and going down 3 on the y-axis and move over 1 on the x-axis
I hope this helps
The mass of Earth is approximately 5.97 × $10^{24}$ kilograms. The mass of Mars is approximately 639,000,000,000,000,000,000,000 kilograms. What is the mass of Mars in Scientific Notation? $10^{23}$
9514 1404 393
Answer:
6.39×10²³
Step-by-step explanation:
There are 23 digits to the right of the most significant digit (6), so it is in the number place with a place value of 10²³. The number in scientific notation is ...
6.39×10²³ . . . . kg
Let f (x) represent a function.
Which descriptions match the given transformations?
Drag and drop the answers into the boxes.
f(x)−4 involves translating the graph of f(x) DOWN by 4 units.
4f(x) involves vertical stretching of the graph by a factor of 4.
LOL LAST 1 IM SORRY AHHHH !!!!
Answer:
102
Step-by-step explanation:
Answer:
Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.
Step-by-step explanation:
180- 102 - 30= 48 degrees
180 - 48 = 132 degrees
In Triangle ABC with vertices A(-5,-4), B(3,-2), and C(-1,6), M is the midpoint of AB and N is the midpoint of BC. Show that MN = 1/2 AC. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online
The midpoint of a line divides the line into equal segments.
See below for the proof of [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]
The given parameters are:
[tex]\mathbf{A = (-5,-4)}[/tex]
[tex]\mathbf{B = (3,-2)}[/tex]
[tex]\mathbf{C = (-1,6)}[/tex]
The coordinates of M (midpoint of AB) are calculated as follows:
[tex]\mathbf{M = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]
So, we have:
[tex]\mathbf{M = \frac{1}{2}(-5 + 3, -4-2)}[/tex]
[tex]\mathbf{M = \frac{1}{2}(-2, -6)}[/tex]
[tex]\mathbf{M = (-1, -3)}[/tex]
The coordinates of N (midpoint of BC) are calculated as follows:
[tex]\mathbf{N = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]
So, we have:
[tex]\mathbf{N = \frac{1}{2}(3 - 1, -2 +6)}[/tex]
[tex]\mathbf{N = \frac{1}{2}(2, 4)}[/tex]
[tex]\mathbf{N = (1, 2)}[/tex]
Distance MN is:
[tex]\mathbf{MN = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{MN = \sqrt{(-1 - 1)^2 + (-3 - 2)^2}}[/tex]
[tex]\mathbf{MN = \sqrt{29}}[/tex]
Distance AC is calculated as follows:
[tex]\mathbf{AC= \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AC= \sqrt{(-5 - -1)^2 + (-4 - 6)^2}}[/tex]
[tex]\mathbf{AC= \sqrt{116}}[/tex]
Split
[tex]\mathbf{AC= \sqrt{4 \times 29}}[/tex]
Take positive square root of 4
[tex]\mathbf{AC= 2\sqrt{29}}[/tex]
To prove that:
[tex]\mathbf{MN = \frac{1}{2}AC}[/tex]
We have:
[tex]\mathbf{\sqrt{29} = \frac{1}{2} \times 2\sqrt{29}}[/tex]
[tex]\mathbf{\sqrt{29} = \sqrt{29}}[/tex]
The above equation is true.
Hence. [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]
Read more about midpoints and distance at:
https://brainly.com/question/11231122
Take some time but answer correctly
Answer:
c) 2⁻⁹
Step-by-step explanation:
1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]
1/2⁹
2) simplify ₂⁹ to 512
1/512 ( same as (8) ⁻3
Answer:
c
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
note that 8 = 2³ , then
[tex](8)^{-3}[/tex]
= [tex](2^3)^{-3}[/tex]
= [tex]2^{3(-3)}[/tex]
= [tex]2^{-9}[/tex] → c
add 8 to m, multiply the result by 4, then add 3 to what you have
(8 + m)4 + 3
This is ur answer have a good day
Find the value of x. Then find the measure of each labeled angle.
Answer:
x = 114°
Step-by-step explanation:
x + (x - 48) = 180
2x = 228
x = 114
114 - 48 = 66
HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE
Answer:
4
Step-by-step explanation:
factor the numerator and denominator and cancel the common factors
Which equation represents the line with slope 1/4 that passes through (-4, 8)?
A
y = 1x + 7
B
y = -4x + 24
С
y = -4x – 8
D
y = 1x + 9
Answer
B DID THE TEST
Step-by-step explanation:
YOU WILL DO YOU GOOD LUCK
The area of a square is 25/36 in ^2. What is the length of its side
Answer:
5/6 inches
Step-by-step explanation:
An area of a square is basically length * width but the length and width are the same length so we can simply do the square root of (25/36)
5/6 is your final answer
One eight of a pizza pie is sold for 65 cent. How much will be received
Answer:
I don't know haha
Step-by-step explanation:
Salamat nalang sa points
Answer:
the whole pizza would cost $5.20
Step-by-step explanation:
1/8 = $0.65
8/8 = 1 = $5.20
0.65 × 8 = 5.2
is this what you mean??
If ALTU ASBP
then TU = [?]
Enter the letters that belong in the
green box.
Enter
Answer:
BP
Step-by-step explanation:
the letters are congruent in order, so the last 2 letters of both sides are congruent
Solve for y in terms of v, w, x, and z.
wy=–zvx
Answer:
y = (-zvx)/w
........
Ms.Jensen surveyed her class and found that 2/3 of her class has a dog.Of those students who have a dog,1/4 also have a cat.What fraction of the students have both?
Sorry im confused:
Answer:
1/6
Step-by-step explanation:
2/3 of the class has a dog, and 1/4 of the class has a cat. This means that some people will have both a cat and a dog.
You have to find the fraction of students who have both, so you have to multiply 2/3 and 1/4, 2*1 = 2, and 3*4 = 12, so the fraction is 2/12.
2/12 can be simplified to 1/6.
So, the amount of students in the class that have both a cat and a dog are 1/6.
Answer:
The answer is 1/6.
What is the answer for this question:12+2c+6d-8c+d
Answer:
12+10c+7d
Step-by-step explanation:
There is no possible way to really describe the value of the variables, so I simplified it.
can someone answer this
Answer:
b.d-6 that's the correct answer
Answer:
it is a
Step-by-step explanation:
State if the triangle are similar amd if they are, give the reasons AA SSS SAS
which triangles?
i see no triangles
try again bro
are two of the same looking triangle but different sizes mean they are congruent?
Answer:
No
Step-by-step explanation:
They are similar
Answer:
Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol
Step-by-step explanation:
A city has 1,242 law enforcement officers in the police department. If the officers are divided equally into 18 groups, how many officers will be in each group?
Answer:
69
Step-by-step explanation:
1,242 ÷ 18 = 69
Since the problem says divided equally, you will need to divide the total number of officers into 18 groups.
-kiniwih426
Members per group:-
[tex]\\ \sf\longmapsto \dfrac{1242}{18}[/tex]
[tex]\\ \sf\longmapsto 69[/tex]
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y= [tex]\frac{5}{6} x[/tex] + 4
Step-by-step explanation:
Pick two points: (-6,-10) and (0,4)
Then solve for m (slope): I picked (0,4)
[tex]m= \frac{4-(-1)}{0-(-6)} =\frac{5}{6}[/tex]
Then put in slope intercept form:
4= [tex]\frac{5}{6} (0)[/tex] + b
4=b
Then put in final form:
y= [tex]\frac{5}{6} x[/tex] + 4
Hope this helps!
Answer:
y=5/6x+4
Step-by-step explanation: