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2 years ago

Tell whether ΔABC and ΔDCB can be proven congruent.

Mathematics

1 answer:

Vikentia [17]2 years ago

4 0

Answer:

D. No, there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.

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John held a garage sale. He priced all the items at a dime or a quarter. His sales totaled

Nikitich [7]

John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.

<h3>What is a slope?</h3>

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent the slope; reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

He priced all items at a dime or a quarter. His sales totaled less than $5

Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25

Let x=x= the number of the items sold for a dime

Let y=y= the number of the items sold for a quarter

0.10x+0.25y<5

Inequality in the slope-intercept form

0.10x+0.25y Subtract 0.10x from both sides

0.25y<-0.10x+5 Divide both sides by 0.25

Subtract 0.10x from both sides

$y= -\frac{2}{5}x+20\\$

The slope is, $-\frac{2}{5}$ and the y- intercept is 20

Since inequality sign is << so, draw a dashed line

Test point (0,0)(0,0)

Substituting the values 0 for x and 0 for y,

$y < -\frac{2}{5}x+20\\\\0 < -\frac{2}{5}(0)+20\\\\0 < +20$

Since inequality is true

So, (0,0)(0,0) is solution of the inequality

Shade region containing (0,0)(0,0).

The graph below shows all possible solutions

Since boundary line is dashed and the number of items is always positive

The solution is shaded region in quadrant I

To know more about quadrant visit: brainly.com/question/7196312

#SPJ9

4 0

1 year ago

Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How

rodikova [14]

The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:

total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3<span>*(100%+4.5%)^4
</span>total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * <span>1.121622319 </span>* 1.1925186
total money= £14,713.11

8 0

3 years ago

Write an equation and solve<br><br> Nine less than five times a number equals 71. Find the number

goldfiish [28.3K]

The answer is 16 because 16•5=80 and then 80-9=71 yk?

3 0

3 years ago

Read 2 more answers

108 - 271 + 215-_____= -103

kupik [55]

108-271+215-_____=-103
Im going to combine the first thee numbers and replace the blank with a variable, lets use x.
52 - x=-103
now I am going to subtract 52 on both sides to get the variable alone
-x=-155
Im going to multiply both sides to eliminate the negitive in the variable
x=155
If you want to check just plug 155 into the blank
108-271+215-155=-103
-163+215-155=-103
52-155=-103
-103=-103

so after checking work the blank is equal to 155.

5 0

3 years ago

Divide £72 into the ratio 4 : 5.

algol13

Answer:

£32 : £40

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£72 ÷ 9 = £8 ← value of 1 part of the ratio, then

4 parts = 4 × £8 = £32

5 parts = 5 × £8 = £40

Then

£72 in the ratio 4 : 5 is £32 : £40

4 0

2 years ago