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3 years ago

Name a multiple of 13 that is between 30 and 100.

Mathematics

1 answer:

emmainna [20.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

just did 13 plus 13 plus 13

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Which triangles could not be similar to triangle ABC ? triangle a b c where angle b is a right angle. side a b is 15 cm. side b

STALIN [3.7K]

Answer:

option (b) and (d) are correct.

Right triangle J K L with right angle at K. J K is 60 centimeters. J L is 68 centimeters. K L is 32 centimeters.

and Right triangle D E F with right angle at E. D E is 22.5 centimeters. D F is 25.5 centimeters. E F is 12 centimeters.

Step-by-step explanation:

Given : triangle a b c where angle b is a right angle. side a b is 15 cm. side b c is 8 cm. side a c is 17 cm.

We have to select triangle from given options that are similar to ΔABC,

Two triangles are said to be similar when their corresponding sides are in same ratios and their corresponding angles are equal.

Consider : Right triangle J K L with right angle at K. J K is 60 centimeters. J L is 68 centimeters. K L is 32 centimeters.

FINDING CORRESPONDING RATIOS,

$\frac{AB}{JK}=\frac{15}{60}=\frac{1}{4}$

$\frac{BC}{KL}=\frac{8}{32}=\frac{1}{4}$

$\frac{AC}{JL}=\frac{17}{68}=\frac{1}{4}$

Since, ratios are equal. Thus, triangles are similar.

ΔABC ≅ ΔJKL

Consider : Right triangle D E F with right angle at E. D E is 22.5 centimeters. D F is 25.5 centimeters. E F is 12 centimeters.

FINDING CORRESPONDING RATIOS,

$\frac{AB}{DE}=\frac{15}{22.5}=\frac{2}{3}$

$\frac{BC}{EF}=\frac{8}{12}=\frac{2}{3}$

$\frac{AC}{DF}=\frac{17}{25.5}=\frac{2}{3}$

Since, ratios are equal. Thus, triangles are similar.

ΔABC ≅ ΔDEF

Thus, option (b) and (d) are correct.

3 0

4 years ago

The points (4,8) and (6,g) fall on a line with a slope of –5. What is the value of g?

777dan777 [17]

<h3>Answer: g = -2</h3>

======================================================

Explanation:

We will use the slope formula

m = (y2-y1)/(x2-x1)

Plugging in the given items leads to

-5 = (g-8)/(6-4)

Now solve for g

-5 = (g-8)/(6-4)

-5 = (g-8)/2

-5*2 = g-8

-10 = g-8

-10+8 = g

-2 = g

g = -2

We have (6,g) turn into (6,-2)

The two points (4,8) and (6,-2) are on a line of slope -5.

-------------------

As a way to check, we'll find the slope of the line through (4,8) and (6,-2)

m = (y2-y1)/(x2-x1)

m = (-2-8)/(6-4)

m = -10/2

m = -5

The answer is confirmed.

6 0

3 years ago

"write a program that takes as input an arithmetic expression. the program outputs whether the expression contains matching grou

Zinaida [17]

<span>the program outputs whether the expression contains matching grouping symbols. for example, the arithmetic expressions {25 + (3 – 6) * 8} and 7 + 8 * 2 contains matching grouping symbols. however, the expression 5+{(13+7)/8-2*9 does not contain matching grouping symbols.</span>

4 0

3 years ago

Which is the best estimate of x based on rounding the constants and coefficients in the equation to the nearest integer? 6.2x+1.

DerKrebs [107]

<span>6.2x+1.2=8.9
</span>estimate<span>
6x + 1 = 9
6x = 8
x = 8/6
x = 1.33

answer
x = 1.33</span>

7 0

3 years ago

What value of x makes this proportion true? 36/48 = x/24

ruslelena [56]

Answer:

Step-by-step explanation:

18/24 is a 1/2 reduction from 36/48.

3/4 is simplest form.

8 0

3 years ago