Answers
Answer:
See each problem below.
Step-by-step explanation:
1. The 3 streets, North, Center, and South are parallel.
Avenue A is perpendicular to North Street.
That means the angles formed by North Street and Avenue A are right angles. Because of corresponding angles and parallel lines, the angles formed by Avenue A with Center Street and also the angles formed by Avenue A and South Street are also all right angles. That makes those corresponding angles congruent. That makes Avenue A and South Street perpendicular.
2. One angle is corresponding to the 70° angle and also measures 70°. The adjacent angle to the 70° angle is supplementary to it and measures 110°.
70°, 100°
3. Angles ACB and ACD form a linear pair and are supplementary. That means that the sum of their measures is 180°.
m<ACB + m<ACD = 180°
5x + m<ACD = 180
m<ACD = 180 - 5x
4. Angles BCF and CFE are same side interior angles of parallel lines cut by a transversal, so they are supplementary.
m<BCF + m<CFE = 180°
4x + 11x = 180
15x = 180
x = 12
m<BCF = 4x = 4(12) = 48
m<CFE = 11x = 11(12) = 132
m<BCF = 48°
m<CFE = 132°
5.
Angles CFG and DCF are same side interior angles of parallel lines cut by a transversal, so they are supplementary.
m<BCF + m<CFE = 180°
(3x) + (7x + 40) = 180
10x = 140
x = 14
m<CFG = 3x = 3(14) = 42
m<DCF = 7x + 40 = 7(14) + 40 = 138
m<CFG = 42°
m<DCF = 138°
6. See picture below.
7. <AGE, <BEG, <CHG, <DHF
8. If m<AGE = 85°, what is m<CHG?
Answer: Angles AGE and CHG are corresponding angles, so they are congruent.
m<CHG = 85°
Related Questions
Simplify the expression:
3x4x5+1b
Answers
Answer:
60+1b
Step-by-step explanation:
Multiply the numbers without variables:
3x4=12
12x5=60
Next put the equations together:
60+1b
Hence, the correct answer is 60+1b
Answer:
60+1b
Step-by-step explanation:
3x4=12
12x5=60
So, your final equation is 60+1b
Solve each two-step inequality and graph the solution set on a number line -17 < 3-5x
Answers
Answer:
[tex]x < 4[/tex]
Step-by-step explanation:
Given the following question:
[tex]-17 < 3-5x[/tex]
In order to find the answer, we will solve the inequality as if it is a regular two-step equation and then we will plot the answer on the number line.
[tex]-17 < 3-5x[/tex]
[tex]-17 < 3-5x=3-5x > -17[/tex]
[tex]3-5x > -17[/tex]
[tex]3-3=0[/tex]
[tex]-17--3=-20[/tex]
[tex]5x=-20[/tex]
[tex]\frac{5x}{5}=x[/tex]
[tex]20\div5=-4[/tex]
[tex]x < 4[/tex]
When plotting inequalities on the number line keep a few things in mind:
. 4 is greater than x, so the line will go towards the opposite direction of four
. < is a greater sign, it's not a greater or equal to sign (≤) which means it will be an open dot.
Hope this helps.
Jessie saw the label of a box indicating that they are 50 packs of groceries inside it.Each pack of groceries weights 1 kg.
a.How many g does each pack of groceries weight?
Answer:?
b.What is the total weight in kg of the box.
Answer:?
c.What is the weight of the box in g?
Answer:?
Answers
b 50kg
c 50 000 grams
Convert 38 degrees Celsius to degrees Fahrenheit. Round
your answer to the nearest degree
Answers
Answer:
100 Fahrenheits.
Step-by-step explanation:
Replace x with 38, we get : 9/5 x 38 + 32 = 342/5 + 32 = 502/5 = 100.4 (round to 100)
Answer:
100.4 degrees Fahrenheit.
Step-by-step explanation:
Olivia purchases gift for her mom and grandma for Mother's Day the first is a pair of sunglasses for $16.35and the second is a bracelet her total is $39.75 how much did she spend on the bracelet
Answers
Answer:
$23.40
Step-by-step explanation:
Since we know that the pair of glasses is $16.35 and the total of both the items is $39.75, we have to subtract the costs to get the cost of the bracelet. (39.75-16.35) Take your time to subtract and the answer is 23.4. Since we are dealing with money, make sure to add a 0 after the 4, there has to be 2 digits in money after the decimal point and if needed add the dollar sign.
Which equation represents the graph of f(x) = 4x3 - 3x² + 8x - 6 after a reflection over the x-axis?
Answers
Step-by-step explanation:
If we have a function,
[tex]f(x)[/tex]
We can rotate the function across the x axis using the rule
[tex] - f(x)[/tex]
So we have function
[tex]f(x) = 4 {x}^{3} - 3 {x}^{2} + 8x - 6[/tex]
[tex]f(x) = - ( {4x}^{3} - 3 {x}^{2} + 8x - 6)[/tex]
[tex]f(x) = - 4x {}^{3} + 3 {x}^{2} - 8x + 6[/tex]
Solve for x and y
can someone explain this to me? i’m not for sure how to solve it. will mark brainliest
Answers
Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
In the diagram below, FCE is a tangent to a circle centre and AC is parallel to OE AOB is a diameter. 5.1 Show that 5.1.1 CD = DB 5.12 BOCE is a cyclic quadrilateral 5.2 IFAC = 10 units, determine the length of OD.
please help
Answers
Answer:
a b c d
Step-by-step explanation:
PLEASE HELP ME PLEASE
Answers
Answer:
To find the area of a rectangle we use the formula:
L x W
Replace those with it's actual value
4 3/4 x 3
19/4 x 3 = 14.25, 14 square inches is the area
answer
Please help me I've been stuck on this for days now and I can't get an answer now my last choice is brainly Guy please help me
Answers
Answer:
you have to earn great to be great
Cybernaut Industries is buying back bonds which have an annual coupon payment of $300. The coupon was paid just 92 days earlier. How much accrued interest from the coupon payment will Cybernaut have to pay on each bond?
Answers
Answer:
$75.62
Step-by-step explanation:
Assuming exact interest is computed on each bond, interest will have accrued for 92 of 365 days between payments. The interest due on each bond is ...
(92/365)($300) ≈ $75.62
What is the
slope of a line that is parallel to the line
shown on the graph?
Answers
Answer:Parallel lines have the same slope. Thus, the slope is 5. Find the equation of the line parallel to the line graphed that passes through the point (1,1).
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
Secant
Cosine
Tangent
Sine
Answers
Answer:
Cosine
Step-by-step explanation:
Cosine is defined as:the ratio of the length of the leg adjacent to the angle and the length of the hypotenuse Hypotenuse- the side opposite the right angle in a right triangle Law of Cosines- a set of relations in trigonometry that helps to solve oblique triangles.
6th Grade Math, Help Please! (Adding and Subtracting Rational Numbers)
HELPPPPPPP PLEAAASEEEEE
Answers
Answer:
6.8
Step-by-step explanation:
8÷3+7.5+3=8.0.hence 5× 5×1=5+3=8÷3+7.5+-3×1=-3+6=3. 5+8+7.5+-3+3=6.8.
In your own words, how can we check that two polygons are congruent?
Answers
Step-by-step explanation:
If we can apply rigid transformations to the polygon for example, rotating the polygon, Translating the polygon, or reflecting the polygon , and we get a new image of A ppolygon, then the polygon will be congruent.
Also, is that VVA?
explain how u can use straight angles to find m tpv
Answers
Answer:
A straight angle changes the direction you are pointing in. A straight angle looks like a straight line. It has an angle measurement of 180 degrees. Straight angles can be composed of several angles, as long as the angles add up to 180 degrees.
Step-by-step explanation:
Answer: Angles on a straight line add up to 180°.
Step-by-step explanation:
what is 31.75 times 1000
Answers
Answer:
31750
Step-by-step explanation:
Answer:
31750
Step-by-step explanation:
31.75 add a 0 and take of the point and you get your answer
2 numbers whose product is 40 and sum is -13
2 numbers whose product is 28 and sum is -11
2 numbers whose product is
15 and sum is -16
2 numbers whose product is -14 and sum is 5
2 numbers whose product is -5 and sum is -4
2 numbers whose product is -10 and sum is -3
2 numbers whose product is -56 and sum is 1
2 numbers whose product is -20 and sum is 1
Answers
2. -7 and -4
3. -15 and -1
4. 7 and -2
5. -5 and 1
6. -5 and 2
7. -7 and 8
8. -4 and 5
Shopping at super sales day, martha buys her children 3 shirts and 2 pairs of pants for $85.50. She returns during the sale and buys 4 shirts and 3 more pairs of pants for $123. what was the sale price of the shirts and pants?
Answers
Answer:
Shirt costs $10.50, pants cost $27Step-by-step explanation:
Set equations as follows3s + 2p = 85.54s + 3p = 123Solve the system by eliminationMultiply the first equation by 4 and the second one by 3 and subtract equations
4(3s + 2p) - 3(4s + 3p) = 4(85.5) - 3(123)12s + 8p - 12s - 9p = 342 - 369- p = - 27p = 27Find the value of s
3s + 2*27 = 85.53s + 54 = 85.53s = 85.5 - 543s = 31.5s = 31.5/3s = 10.5PLEASE HELP ME WITH KHAN QUESTION
( I will give brainliest )
Answers
Answer:
Ok sure where is it?? The Khan Question
if a smaller square of side 3 cm is cut out from a bigger square of side 9 cm to form a new shape ,What is the perimeter of the new shape formed?
Answers
Need to find:
Perimeter of new square formed?[tex]~[/tex]
Solution:
Side of smaller square = 3cm.Side of Bigger square = 9cm[tex]~[/tex]
Using formula:
Perimeter of square = 4 × side[tex]~[/tex]
Perimeter of smaller square:
⟹ 4 × 3
⟹ 12 cm
[tex]~[/tex]
Perimeter of Bigger square:
⟹ 4 × 9
⟹ 36cm
[tex]~[/tex]
Perimeter of new square = Perimeter of Bigger square - Perimeter of smaller square
⟹ 36 - 12
⟹ 24 cm
[tex]~[/tex]
∴ Perimeter of new square formed is 24 cm.
The dimensions of a rectangle are 3 1/5cm by 5 5/6cm. What is the area of the rectangle?
A) 9 1/30 cm
B) 12 3/8 cm
C) 18 2/3 cm
D) 21 3/4 cm
Answers
Explanation:
Area of rectangle = length x width
After you set up the fractions:
96/30 x 175/30
= 16800/900
= 18.666e
= 18 2/3
you are asked by your mother to help her prepare food packs for your sister birthday when you counter the food packs there we're only 36 packs when your sister is infecting 53 guess what percentage of the total food packs has been prepared what percent is needed to be packed to complete it
Answers
Answer:
completed packing: 67.9245%
not done yet: 32.0755%
Explanation:
given:
36 has been packed.total inviting 56 guestsnot done: 53 - 36 = 17 packagessolve:
[tex]\sf \dfrac{36}{53} *100[/tex]
67.9245%
67.9%
67.9% of the packaging has been done.
Not been ready: [ total shall be 100% ]
100% - 67.9245%
32.0755%
32.1%
32.1% needs to be packed in order to complete packaging.
10. DIG DEEPER! A muffin tray has
6 molds. Each mold holds
60 milliliters of batter. You make
184 milliliters of blueberry batter
and 145 milliliters of banana batter.
Do you have enough batter to fill
the tray? Explain.
Answers
The original price of a computer game is 45$ The price is marked down by 18$ what percent of the original price is the markdown?
Answers
Answer:
$27
Step-by-step explanation:
$45 - $18 = $27
Percentage 150% (27 divided by 18 = 1.5, shift the decimal right two times and add the zero at the end which gives you 150%)
Keshawn thinks that the graph of a function f(x) and its inverse f -1 (x) will always intersect. Give a counterexample to disprove his statement
Answers
Pls help me !! Thanks
Answers
Answer:
B. 260
Step-by-step explanation:
perimeter of a rectangle is 2w+2l which when u plug in the values is 260
Explanation:
55+55+75+75=260
how to express 3 ones and 8 tenths as a decimal??
Answers
Answer: am I don't know sorry i really need the points but i thing 3 can go in 8 1 time 0.38
Step-by-step explanation:
Having trouble on this question.
Can anyone help?
Answers
Answer:
-12, 2
Step-by-step explanation:
X may be on the left of W, then X = -5 - 7 = -12
X may be on the right of W, then X = -5 + 7 = 2
Answer:
Locations of X: 2, -12
Step-by-step explanation:
We know that W lies at -5. To figure out where the other X's are located, you need to do -5 ± 7, since the range is 7.
So let's first try -5 + 7:
-5 + 7 = 2
The first location of X can be at 2.
Now let's try -5 - 7:
-5 - 7 = -12
The second location of X is -12.
So, the answer is that X is located at 2 and -12
how do you graph 5+1.50t on a graph paper
Answers
I got this from M~thw~y, (those lines are supposed to be the letter A, it is censored) it's a very helpful website!
Hope I could help~ have a good night/day :]
