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3 years ago

Find the value of x

Mathematics

2 answers:

Delvig [45]3 years ago

5 0

Answer:

X=18

Step-by-step explanation:

we know that (4x+18) = 90 degrees because the 45 degrees plus 45 degrees is 90 and 90+90 equals a full 180 triangle.

From here you just solve out 4x+18=90

4x+18=90

-18 -18 Subtract 18 from both sides

4x=72. Divide both sides by 4

x=18

Hope this helps! Have a wonderful day/night! <3

Vikentia [17]3 years ago

4 0

Answer:

x=18

Step-by-step explanation:

A triangle ALWAYS have overall angles of 180 degrees.

When we look at this triangle, it should come to familiarity that this is a 45 45 90 triangle. This is a special type of isosceles right triangle.

But without knowing this, we can still solve this problem.

Since the triangles' overall angle is 180 and we know 45 and 45 of the two other angles, let's subtract that together to find out the overall angle where we are trying to find x.

180-45-45=90

This means that the expression 4x+18 is equal to 90, since that's the leftover angle amount.

Let's solve that equation now.

4x+18=90 Let's get rid of the 18 by subtracting it on both sides.

-18 -18

4x=72 Isolate the x by dividing both by 4.

x=18

In this problem, x is equal to 18.

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e-lub [12.9K]

Answer:

mFG = 67r ( Where r is the radius of the circle)

∠ECF = 67°

Step-by-step explanation:

i) m FG

Join CG

∠GCF=67°

(As FG=ED and equal chords subtend equal angle at center)

Now The length of the minor arc is given by the formula

m arc FG =

$\frac {C}{2 \pi} \times 2 \pi r$

∠C=67

m arc FG = $\frac {67}{2 \pi} \times 2 \pi r$

m arc FG = 67r

Where r is the radius of the circle.

2. ∠ECF = 67°

It is because of the rule which says that equal chords subtend equal angle at center

DE = EF

Hence ∠DCE = ∠ECF

7 0

3 years ago

Help me with these please

mixas84 [53]

Answer:

A) SAS

Step-by-step explanation:

The picture gives us that two sides are congruent. We can see that an <em>angle</em> is congruent as well because they share a common point at their tip.

If we look at just the area of intersection, it looks like an X. Think of the X as two lines intersecting. Each side equals 180°, and because both triangles are made up of those sides, we can conclude that the angles are congruent as well.

Hope this helps!

3 0

3 years ago

Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR

ale4655 [162]

It is a scalene triangle.

7 0

3 years ago

(PLS HURRY ASAP 100 POINTS)

Sophie [7]

Answer:

D) 0.3125

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

Total number of outcomes is 16, count of all outcomes.

Number of outcomes with 3 or more tiles is 5:

HTTT, THTT, TTHT, TTTH, TTTT

The probability is:

P = favorable outcomes / total outcomes
P(at least 3 tails) = 5/16 = 0.3125

Correct choice is D.

6 0

2 years ago

By showing your work what is the answer to 0.96÷0.144=

gayaneshka [121]

Recognize that both 0.96 and 0.144 are divisible by 12:

(0.96/12) / (0.144/12) = 0.08 / 0.012. This reduces to 0.02 / 0.003, or
20/3 or approx. 6.666.

You could also begin by eliminating the decimal fractions. Mult. 0.96 and 0.144 each by 1000 results in 960/144.

Since both 960 and 144 can be divided evenly by 24, we get 40 and 6.
40/6 = 20/3, or approx. 6.666, as before.

7 0

3 years ago