please help me in this Q

Please Help Me In This Q

Answers

Answer 1

9514 1404 393

Answer:

  (a)  (2x +36)° +(3x +14)° = 90°

  (b)  ∠C = 38°; ∠D = 52°; ∠E = 90°

Step-by-step explanation:

(a) Two acute angles are marked in a right triangle. We know the sum of angles in a triangle is 180°, so if one of those angles is 90°, the sum of the other two angles must be 90°. We can use that fact to write and equation for x.

  (2x +36)° +(3x +14)° = 90°

__

(b) We can collect terms, subtract 50 and ...

  5x +50 = 90 . . . . . . . collect terms, divide by °

  5x = 40 . . . . . . . . . . subtract 50

  x = 8 . . . . . . . . . .. divide by 5

∠C = (3x +14)° = (3·8 +14)° = 38°

∠D = (2x +36)° = (2·8 +36)° = 52°

∠E = 90°

_____

Angle E is marked as a right angle by the little square in that corner. The measure of a right angle is 90°, by definition.


Related Questions

The square of a number, x, is 16 less than eight times the number. What is the number?

Answers

Answer:

4

Step-by-step explanation:

x² = 8x - 16

x² - 8x + 16 = 0

(x - 4)² = 0

x = 4

Shawn bought 3 items at the grocery store that cost $3.35, $6.85, and $2.90. After paying the cashier, Shawn received $2.15 in change.

How much did Shawn give the cashier to pay for his purchase?

Answers

Answer:  Shawn payed the cashier $15.25

Step-by-step explanation:

can anyone help me please

Answers

part a) HI = 8 because the little arc on each angle indicated they are all equal lengths. So if GH is 8, HI is also 8.
part b) measure of angle K is 110 degrees because if we know that LK and KJ are both 11 on the side, the angles should be equal, so angle L should also be 35 degrees. Once we know two angles, just subtract them from 180 to find the third angle.
180-35-35 = 110

The equal sides of an isosceles triangle are 2 cm shorter than the length of the third side. If the perimeter of the triangle is 35 cm, find the length of the third side.​

with the formula plsssss

Answers

Given Information :

• Equal sides of an isosceles triangle = 2cm shorter than the length of the third side.

To calculate :

• Length of the third side.

Calculation :

Let the third side be c.

Also, two equal sides be a and b.

According to the question,

[tex] \longmapsto [/tex] a = ( Third side - 2 ) cm

[tex] \longmapsto [/tex] a = ( c - 2 ) cm

Similarly, length of b(second side) will also be same as a and b are two equal sides of an isosceles triangle.

[tex] \longmapsto [/tex] b = ( c - 2 ) cm

Now, we know that :

Perimeter of = Sum of all sides

Perimeter = 35 cm.

[tex] \longmapsto [/tex] 35 = a + b + c

[tex] \longmapsto [/tex] 35 = (c - 2) + (c - 2) + c

[tex] \longmapsto [/tex] 35 = c - 2 + c - 2 + c

[tex] \longmapsto [/tex] 35 = c + c + c - 2 - 2

[tex] \longmapsto [/tex] 35 = 3c - 4

[tex] \longmapsto [/tex] 35 + 4 = 3c

[tex] \longmapsto [/tex] 39 = 3c

[tex] \longmapsto [/tex] [tex] \sf \dfrac{39}{3} [/tex] = c

[tex] \longmapsto [/tex] 13 = c

So, third side of the triangle is 13 cm.

help me with this plzzzz

Answers

Answer:b c

Step-by-step explanation:

did it

The correct answers are option b and c

Type your answer into the box.
240 people are going to a charity event.
3/5 of the guests have ordered chicken for their meals.
Of the remaining guests, 12.5% have ordered gluten-free meals
How many people haven't ordered their meals yet?

Answers

Answer:

84 people

Step-by-step explanation:

a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?

what is the answer in miles ??

PLEASE HELP ME !!!!

Answers

Answer:

450 miles

Step-by-step explanation:

First you calculate miles per gallon, which you do by dividing 300/20. This gives us 15. So you can go 14 miles on one gallon.

From there you multiply 15 by 30, since you'll be driving 30 miles. This gives us 450 miles.

Step-by-step explanation:

[tex] \frac{300}{x} \times \frac{20}{30} = \frac{20x}{20} \frac{9000}{20} x = 450miles[/tex]

Alex's pig weighs under 220 pounds.
Let p = the weight of the pig

Answers

Answer:

p > 220

Explanation:

This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.

Good luck ^^

Lauren bought 20 oz of sliced ham. She used 3/4 of the ham to make sandwiches for her friends. She used 1/5 of the ham in an omelet. How many ounces of ham were left?

Answers

Answer:

19 oz

Step-by-step explanation:

Lauren bought 20 ounces of sliced ham, out of which she used three-fourth of the ham to make sandwiches for her friends and one fifth of the ham in an omelette. We are to find the ounces of ham that were left. So, total ounces of ham that were used = 15 + 4 = 19 ounces.

Hope this helped!

A number between 0 and 1, expressed as one number over another, is called a

Answers

Answer:

its called a frcaction

Step-by-step explanation:

Fraction po

#carryonlearning

Solve each equation 24 = 5k - 8k

Answers

Answer:

k = -8

Step-by-step explanation:

24 = 5k - 8k

24 = -3k

k = 24/(-3)

k = -8

Answer:

k = -8

Step-by-step explanation:

Solve for k

First we re arrange our equation so that it look simple to calculate.

24=5k-8k

5k-8k = 24

-3k = 24

Divide -3 both side to get the value of k

 k = -8

To prove substitute k into formula:

5k-8k = 24

5 (-8) - 8 (-8) = 24

-40 + 64 = 24

24 = 24

Find the cost of 6 kg rice, if the cost of 10 kg rice is 325 rupees .​

Answers

Answer:

195 rupees

Step-by-step explanation:

10kg=325 rupees

6kg=?

Cross multiplication;

=6×325/10

=1950/10

=195 rupees

Order the numbers from least to greatest.
= –1.5
- (-2)
2.5
8/3

HELPP

Answers

Answer:

-1.5, -(-2), 2.5, 8/3

Step-by-step explanation:

pretty sure this is right

-1.5, -(-2), 2.5, 8/3

A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08

Answers

Answer:

48(c)

Step-by-step explanation:

4.8=48 as move 10 will change 4.8 as 48

18. A balloon artist wants to make 6 different
kinds of balloon animals. She needs
4 balloons to make each animal. If the
balloons come in packs of 8, how many
packs will she need to buy?

Answers

Answer:

She need 3 packs of balloons

1.Write the expression in expanded form. The subscript number can be write in
normal form. E.g. X1 + X1Y1, do not forget the correct parenthesis and the correct
order. *



2.For the equation in above evaluate the notation using the values below. Please
enter the exact value.
X1 =0
Y1 = 5
Z1 = 0
X2 = 1
Y2 = 26
Z2 = -2
X3 = 12
Y3 = -2
Z3 = 3
X4 = -1
Y4 = 25
Z4 = 24​

Answers

Answer:

(a) Expanded form:

[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]

(b) The value of the expression: -21

Step-by-step explanation:

Given

[tex]\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)[/tex]

Solving (a): The expanded form:

This means that we substitute the values of i from 1 to 4 in the above expression.

So, the expression becomes:

[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]

Solving (b): The value of the expression

To do this, we simply substitute the given values of X1, X2....... in the expression.

This gives:

So, the expression becomes:

[tex]((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)[/tex]

Simplify each bracket

[tex]((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)[/tex]

[tex]0 + 29 -48 -2[/tex]

[tex]-21[/tex]

Hence, the result of the expression is -21

BRAINLIEST AND ACED+ PLEASE HELP ME :c

Answers

Answer:

1 1/2 x 4 1/2 x 5 =  33 3/4

Plzz help will mark brainleast

Answers

The last one, it will be easier for more readers that way. Plus the message should get to as many people.



5 Bill's trail mix has 6 cups of walnuts
and 10 cups of cranberries. Using
the same recipe, how many cups
of walnuts go with 15 cups of
cranberries?

Answers

Answer:

Umm, I will do my best to comment on this. I feel so bad for all the people that I hit answer and I don´t know it. =( !

Answer:

25.5

Step-by-step explanation:

10÷6=1.7

1.7x15=25.5

After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?

Answers

It would be 3/8 since you divide the 3 bottles to 8 players

Students in a school are asked to pick either football, rugby or tennis to play in their lesson.

The number of students who picked football and rugby are in the ratio of 5:4
The number of students who picked rugby and tennis are in the ratio of 12:25

125 students picked tennis.Work out how many students picked football.

Answers

Step-by-step explanation:

let x be rubgy liked let y football liked

x/125=12/25

ansx=60

again

y/60=5/4

ans y=75

football liked students are 75

Gross income: $408.68
Deductions: $98.98


Net income: $_

Answers

Answer: $507.66

Step-by-step explanation:

408.68 + 98.98 = 507.66

Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $263.25

Enter an equation to model the relationship between the number of hours worked h and the amount earned e

The equation is:

Answers

Answer:

$9.75h=e-$263.25

Step-by-step explanation:

Por favor ayúdenme??
A
B
C
D

Answers

Answer:

ITS B!!! AY

Step-by-step explanation:

Simplify the expression Z^0⋅(Z^2⋅Z^−5)^4 using positive exponents
possible answers:
a.)Z^81
b.) 0
c.) 1/Z^12
d.) 1/Z^40

Answers

Jajabhsuababahaisiajnq

Malia and her sister walk at a constant rate of 4 miles per hour. At this constant rate, how long should it take Malia and her sister to walk 3 miles?
A. 0.75
B. 1.25
C. 1.5
D. 12

Answers

A is the answer as 3/4 is 0.75

The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the garden

Answers

Step-by-step explanation:

Given :-

The length of the garden 8m greater than 2 times the width.

Area of the garden is 280 m²

Let us consider the length as x and width as y.

Sp, we can day length as :-

x = 8 + 2y ---(1)

Now, we know that:-

Area of Rectangle = Length × Breadth

280 = x * y

We can replace the value of x now,

280 = y × ( 8 + 2y)

280 = 8y + 2y²

2y² + 8y - 280 = 0

y² + 4y - 140 = 0

Factorise it.

(y -10)(y + 14)

Cancelling -ve value, we get the width as 10 metres.

Hope it helps :)

Answer:

Step-by-step explanation:

Width = w

Length = 2w + 8

Area of rectangular garden = 280 square meter

length * width = 280

(2w + 8 ) *w = 280

2w * w + 8*w = 280

2w² + 8w = 280

2w² + 8w - 280 = 0

Divide the whole equation by 2

w² + 4w - 140 = 0      

w² + 14w - 10w - 14 *10 = 0

w(w + 14) - 10(w + 14) = 0

(w + 14)(w - 10)= 0

w - 10 = 0       {Ignore w + 14, as measurements will not be -ve}

w = 10 m

l = 2*10 +8

= 20 +8

l  = 28 m

Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?

Answers

Answer:

The final balance is $5,389.

The total compound interest is $389.

Step-by-step explanation:

⚠️URGENT PLS HELP

LINKS WILL BE REPORTED

Answers

Answer:

e and c

Step-by-step explanation:

Marisol rolled a six-sided number cube 200 times. Her results are in the table shown.
what is the experimental probability of Marisol rolling a 5? Answer the answer as a percent.

Answers

Answer:

18%

step by step explanation:

36/200 × 100=18

Answer:

3/10

Step-by-step explanation:

the answer is 3/10 hope this helps may i be marked brainliest?

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